Computing and modelling with (imprecise) probabilities and non-probabilistic approaches

In the mid-nineties the starting point of research in this area was a collaboration with the unit of project and construction management modelling uncertainties in project planning and tunnelling by fuzzy sets. In the following the non-probabilistic concept of fuzzy numbers was enlarged by random sets and later on generalized by imprecise probabilities such as families of probability measures.  The research topics cover the development of new mathematical concepts and methods and applications in engineering sciences, risk analysis, operations research and biomechanics. Although the main focus is on imprecise probabilities also classical probabilistic problems are considered in collaboration with other units of the faculty and with companies.

Former group members

  • Diego Alvarez Marin
  • Julian King
  • Simon Pitschmann
  • Bernhard Schmelzer
  • Martin Schwarz
  • Lukas Wurzer

Research topics

  • uncertainty modelling, risk and reliability analysis in civil engineering
  • uncertainty modelling in (bio)mechanics
  • computing with families of probabilities, Monte-Carlo simulation, importance sampling, and reweighting techniques
  • random sets, sets of joint probability measures, notions of independence
  • stochastic parameter calibration, Bayesian model class selection
  • stochastic partial differential equations
  • generalized stochastic processes
  • finite element method and differential equations with fuzzy and imprecise parameters
  • fuzzy project and network analysis

Former events

  • ISIPTA'11, Seventh International Symposium on Imprecise Probability: Theories and Application,
    Innsbruck, July 25 -28, 2011. 

  • Workshop: Applications of Fuzzy Sets and Fuzzy Logic to Engineering Problems,
    Pertisau, September 29 - October 1, 2002.

Links

  • SIPTA, The Society for Imprecise Probability: Theories and Applications.

Publications

▸ Edited Books and Proceedings 

  1. F. Coolen, G. de Cooman, T. Fetz, M. Oberguggenberger (Eds.)
    Proceedings of the Seventh International Symposium on Imprecise Probability: Theories and Applications.
    SIPTA, Studia Verlag, Innsbruck 2011.

  2. W. Fellin, H. Lessmann, M. Oberguggenberger, R. Vieider (Eds.)
    Analyzing Uncertainty in Civil Engineering. 
    Springer-Verlag, Berlin 2005.

▸ Edited Special Issues 

  1. F. Coolen, Th. Fetz, S. Moral, M. Oberguggenberger (Eds.)
    Special Issue "Imprecise Probability: Theories and Applications (ISIPTA'11)"
    International Journal of Approximate Reasoning 53, No. 8, 2012, 1107-1302.
     
  2. F. Coolen, M. Oberguggenberger, M. Troffaes (Eds.)
    Special Issue on Uncertainty in Engineering Risk and Reliability.
    Proceedings of the Institute of Mechanical Engineers Part O: Journal of Risk and Reliability 224, No. 4, 2010.

  3. M. Oberguggenberger, G. I. Schuëller, K. Marti (Eds.)
    Special Issue on  Fuzzy Sets, Imprecise Probability and Stochastics in Engineering. 
    ZAMM  84, No. 10-11, 2004.

▸ Articles 

  1. Fischer, Jan-Thomas; Kofler, Andreas; Huber, Andreas; Fellin, Wolfgang; Mergili, Martin; Oberguggenberger, Michael (2020)
    Bayesian inference in snow avalanche simulation with r.avaflow.

    In: Geosciences 10/5, No. 191. (DOI) (Weblink)

  2. Eberle, R; Heinrich, D; van den Bogert, A.J; Oberguggenberger, M; Nachbauer, W (2019)
    An approach to generate noncontact ACL-injury prone situations on a computer using kinematic data of non-injury situations and Monte Carlo Simulation.

    In: Computer Methods in Biomechanics and Biomedical Engineering 22/1, 3 - 10. (DOI) (Weblink)

  3. Eberle, Robert; Kaps, Peter; Oberguggenberger, Michael (2019)
    A multibody simulation study of alpine ski vibrations caused by random slope roughness.

    In: Journal of Sound and Vibration 446, 225 - 237. (DOI) (Weblink)

  4. Eberle, Robert; Oberguggenberger, Michael (2019)
    Vibrations of an alpine ski under structural randomness.

    In: Proceedings in Applied Mathematics and Mechanics (PAMM) 19/1, No. e201900345. (DOI) (Weblink)

  5. Hirzinger, Benjamin; Adam, Christoph; Salcher, Patrick; Oberguggenberger, Michael (2019)
    On the optimal strategy of stochastic-based reliability assessment of railway bridges for high-speed trains.

    In: MECCANICA 54/9, 1385 - 1402. (DOI) (Weblink)

  6. Adam, Christoph; Hirzinger, Benjamin; Oberguggenberger, Michael; Salcher, Patrick (2018)
    On computational interdisciplinary modeling for reliability assessment of high-speed train – bridge interaction.

    In: Proceedings in Applied Mathematics and Mechanics (PAMM) 18/1, e201800047. (DOI) (Weblink)

  7. Gamse, Sonja; Zhou, Wan-Huan; Tan, Fang; Yuen, Ka-Veng; Oberguggenberger, Michael (2018)
    Hydrostatic-season-time model updating using Bayesian model class selection.

    In: RELIABILITY ENGINEERING & SYSTEM SAFETY 169, 40 - 50. (DOI) (Weblink)

  8. Gordic, Snežana; Oberguggenberger, Michael; Pilipovic, Stevan; Seleši, Dora (2018)
    Probabilistic properties of generalized stochastic processes in algebras of generalized functions.

    In: Monatshefte für Mathematik 186/4, 609 - 633. (DOI) (Weblink)

  9. Th. Fetz, M. Oberguggenberger (2016)
    Imprecise random variables, random sets, and Monte Carlo simulation.
    Int. J. of Approximate Reasoning 
    78, 252 – 264.

  10. M. Oberguggenberger (2015)
    Analysis and computation with hybrid random set stochastic models.
    In: Structural Safety 52, Part B, 233 - 243. (DOI) (Weblink)

  11. B. Schmelzer (2013)
    Set-valued assessments of solutions to stochastic differential equations with random set parameters.

    In: Journal of Mathematical Analysis and Applications 400/2,  425 - 438. (DOI) (Weblink)

  12. B. Schmelzer (2012)
    Characterizing joint distributions of random sets by multivariate capacities.
    Int. J. of Approximate Reasoning 53(8), 1228 - 1247.

  13. W. Fellin, M. Oberguggenberger (2012)
    Robust assessment of shear parameters from direct shear tests. 
    Int. J. Reliability and Safety 6, 49 - 64.

  14. Th. Fetz (2012)
    Modelling uncertainties in limit state functions.
    Int. J. of Approximate Reasoning 53(1), 1 - 23.

  15. Th. Fetz (2011)
    Multivariate Models and Variability Intervals: 
    A Local Random Set Approach 

    Int. J. of Uncertainty, Fuzziness and Knowledge-based Systems 19(5), 799 - 823.

  16. V. Kreinovich, M. Oberguggenberger, G. Xiang (2011)
    How to define a confidence set for functions: a new justification of the area method. 
    Int. J. General Systems 40(7), 727 - 739.

  17. W. Fellin, J. King, A. Kirsch, M. Oberguggenberger (2010)
    Uncertainty modelling and sensitivity analysis of tunnel face stability. 
    Structural Safety 32, 402 - 410.

  18. B. Schmelzer, C. Adam, M. Oberguggenberger (2010)
    Efficiency of Tuned Mass Dampers with Uncertain Parameters on the Performance of Structures under Stochastic Excitation. 
    Journal of Risk and Reliability 224(4), 297 - 308.

  19. Th. Fetz, M. Oberguggenberger (2010)
    Multivariate Models of Uncertainty: A Local Random Set Approach.
    Structural Safety 32(6), 417 - 424.

  20. B. Schmelzer (2010)
    On solutions to stochastic differential equations with parameters modeled by random sets.
    Int. J. of Approximate Reasoning 51, 1159 - 1171.

  21. M. Oberguggenberger, J. King, B. Schmelzer (2009)
    Classical and imprecise probability methods for sensitivity analysis in engineering: A case study. 
    Int. J. of Approximate Reasoning 50, 680 - 693.

  22. Th. Fetz, F. Tonon (2008)
    Probability bounds for series systems with variables constrained by sets of probability measures.
    Int. J. Reliability and Safety 2(4), 309 - 339.

  23. W. Fellin, M. Oberguggenberger (2008)
    Reliability bounds through random sets: nonparametric methods and geotechnical applications.
    Computers and Structures 86, 1093 - 1101.

  24. D. Alavarez Marin (2006)
    On the calculation of the bounds of probability of events using infinite random sets.
    Int. J.  of Approximate Reasoning 43(3), 241 - 267.

  25. Th. Fetz, M. Oberguggenberger (2004)
    Propagation of uncertainty trough multivariate functions in the framework of sets of probability measures. 
    Reliability Engineering and Systems Safety 85(1-3), 73 - 88.

  26. Th. Fetz, M. Oberguggenberger, S. Pittschmann (2000)
    Applicatons of possibility and evidence theory in civil engineering. 
    Int. J. of Uncertainty, Fuzziness and Knowledge Based System 8, 295 - 309.

  27. M. Oberguggenberger, S. Pittschmann (1999)
    Differential equations with fuzzy parameters.
    Mathematical and Computer Modelling of Dynamical Systems 5, 181 - 202.

  28. Th. Fetz, J. Jäger, D. Köll, G. Krenn, H. Lessmann, M.Oberguggenberger, A. Rieser, R. F. Stark (1999)
    Fuzzy models in geotechnical engineering and construction management.
    Computer-Aided Civil and Infrastructure Engineering 14, 93 - 106.

  29. Th. Fetz, M. Hofmeister, G. Hunger, J. Jäger, H. Lessmann, M. Oberguggenberger, A. Rieser, R. F. Stark (1997)
    Tunnelberechnung - Fuzzy? 
    Der Bauingenieur 72, 33 - 40.

  30. H. Lessmann, J. Mühlögger, M. Oberguggenberger (1994)
    Netzplantechnik mit unscharfen Methoden. 
    Der Bauingenieur 69, 469 - 478.

▸ Contributions to Books and Proceedings 

  1. Oberguggenberger, Michael; Wurzer, Lukas (2019)
    Random Set Solutions to Stochastic Wave Equations.

    In: The Journal of Machine Learning Research (JMLR): Workshop and Conference Proceedings 103, 314 - 323. (Weblink)

  2. M. C. M. Troffaes, Th. Fetz, Thomas, M.  Oberguggenberger  (2018)
    Iterative importance sampling for estimating expectation bounds under partial probability specications.
    In: De Angelis, Marco: REC 2018 -Proceedings of the 8th International Workshop on Reliable Engineering Computing. Liverpool: Liverpool University Press, 147 - 154.

  3. Sadeghi, J.; De Angelis, M.; Patelli, E.; Fetz, Thomas; Oberguggenberger, Michael (2018)
    Probability Box Propagation: Benchmarking Challenge Problems.

    In: Sudret, Bruno; Marelli, Stefano: Reliability and Optimization of Structural Systems. Proceedings of the 19th IFIP WG-7.5 conference on Reliability and Optimization of Structural System. ETH Zurich, Zurich, Switzerland, June 26-29, 2018. Zürich: ETH Zürich., ISBN 978–3–906916–56–9, 41 - 47. (DOI) (Weblink)

  4. Kofler, A.; Fischer, J.-T.; Huber, A.; Mergili, M.; Fellin, W.; Oberguggenberger, M. (2018)
    A Bayesian approach to consider uncertainties in avalanche simulation.

    In: Proceedings ISSW 2018, International Snow Science Workshop, Innsbruck, Österreich, 07.-12. Oktober 2018. Montana State University Library., 797 - 801. (Weblink)

  5. Oberguggenberger, Michael; Schwarz, Martin (2018)
    Stochastic methods in damage detection.

    In: De Angelis, Marco: REC 2018 -Proceedings of the 8th International Workshop on Reliable Engineering Computing. Liverpool: Liverpool University Press., 1 - 11. (Weblink)

  6. Th. Fetz (2017)
    Efficient computation of upper probabilities of failure.
    In: Bucher, Christian; Ellingwood, Bruce R.; Frangopol, Dan M.: Proceedings of the 12th International Conference on Structural Safety and Reliability (ICOSSAR 2017). Wien: TU-MV Media Verlag GmbH, ISBN 978-3-903024-28-1, 493 - 502.

  7. Lamplmayr, Lukas; Oberguggenberger, Michael; Schwarz, Martin (2017)
    Stochastic Fourier Integral Operators for Damage Detection.

    In: Voigt, M.; Proske, D.; Graf, W.; Beer, M.; Häußler-Comne, U.; Voigt, P.: A Proceedings of the 15th International Probabilistic Workshop & 10th Dresdner Probablistik Workshop. 27th-29th September 2017, Dresden, Germany. Dresden: TUDpress Verlag der Wissenschaften Dresden., ISBN 978-3-95908-113-9, 73 - 84. (Weblink)

  8. Baumgartner, F; Oberguggenberger, M; Schwarz, M (2017)
    Transport in a Stochastic Goupillaud Medium.

    In: Oberguggenberger, Michael; Toft, Joachim; Vindas, Jasson; Wahlberg, Patrik: Generalized Functions and Fourier Analysis. Dedicated to Stevan Pilipović on the Occasion of his 65th Birthday. Basel - Boston - Berlin: Birkhäuser (= Operator Theory: Advances and Applications, 260)., ISBN 978-3-319-51910-4, 19 - 30. (DOI) (Weblink)

  9. M. Oberguggenberger (2016)
    Analyzing Uncertainty in Civil Engineering.

    In: Freitag, Steffen; Muhanna, Rafi L.; Mullen, Robert L: 7th International Workshop On Reliable Engineering Computing - Computing With Polymorphic Uncertain Data. June 15 – 17, 2016. Ruhr University Bochum, Germany. Bochum: Ruhr-Universität Bochum, 41 - 64.

  10. Th. Fetz, M. Oberguggenberger  (2015)
    Imprecise random variables, random sets, and Monte Carlo simulation.

    In: Augustin, Thomas; Doria, Serena; Miranda, Enrique; Quaeghebeur, Erik: ISIPTA '15: Proceedings of the Ninth International Symposium on Imprecise Probability: Theories and Applications. Rom: Aracne Editrice, 137 - 146. (Weblink)

  11. Th. Fetz (2014)
    Limit state functions and parameter depending uncertainty described by sets of probability measures.
    In: Deodatis, G.; Ellingwood, B.R.; Frangopol, D.M.: Safety, Reliability, Risk and Life-Cycle Performance of Structures & Infrastructures. Proc. 11th International Conference on Structural Safety and Reliability (ICOSSAR 2013). Boca Raton - [u.a.]: CRC Press, ISBN 978-1-138-00086-5, 423 - 430. (DOI)

  12. M. Oberguggenberger (2014)
    Stochastic Response Surfaces, Interval Analysis, and the Reliability of Structures.
    In: Beer, Michael; Halle, Jim W.; Au, Siu-Kui: Vulnerability, Uncertainty, and Risk: Quantification, Mitigation, and Management. 2nd International Conference on Vulnerability and Risk Analysis and Management, and 6th International Symposium on Uncertainty Modelling and Analysis. Reston: American Society of Civil Engineering (ASCE), ISBN 978-0-7844-1360-9, 864 - 875. (DOI)

  13. M. Oberguggenberger (2014)
    Analysis and computation with hybrid random set stochastic models.
    In: Deodatis, G.; Ellingwood, B.R.; Frangopol, D.M.: Safety, Reliability, Risk and Life-Cycle Performance of Structures & Infrastructures. Proc. 11th International Conference on Structural Safety and Reliability (ICOSSAR 2013). Boca Raton - [u.a.]: CRC Press, ISBN 978-1-138-00086-5, 383 - 390. (DOI)

  14. Ch. Adam, M.  Oberguggenberger, B. Schmelzer (2014)
    Seismic Performance of Tuned Mass Dampers with Uncertain Parameters.
    In: Hofstetter, Günter: Computational Engineering. Dordrecht - Heidelberg - London - New York - Berlin: Springer, ISBN 978-3-319-05932-7, 57 - 83. (DOI) (Weblink)

  15. M. Oberguggenberger (2014)
    Engineering.
    In: Augustin, T; Coolen, F; de Cooman, G; Troffaes, M: Introduction to Imprecise Probabilities. New York [u.a.]: Wiley & Sons, ISBN 978-0-470-97381-3, 291 - 304.

  16. M. Oberguggenberger (2014)
    Sensitivity and Reliability Analysis of Engineering Structures: Sampling Based Methods.
    In: Hofstetter, Günter: Computational Engineering. Dordrecht - Heidelberg - London - New York - Berlin: Springer, ISBN 978-3-319-05932-7, 85 - 112. (DOI) (Weblink)

  17. Oberguggenberger, M. (2013)
    Combined methods in nondeterministic mechanics.

    In: Elishakoff, I.; Soize, C.: Nondeterministic Mechanics. Wien [u.a.]: Springer (= CISM Courses and Lectures, 539), ISBN 978-3-7091-1305-9, 263 - 356. (Weblink)

  18. Th. Fetz (2013)
    Limit state functions and parameter depending uncertainty described by sets of probability measures.
    In: Deodatis, G.; Ellingwood, B.R.; Frangopol, D.M.: 11th International Conference on Structural Safety and Reliability (ICOSSAR 2013). Abstract Book. Columbia: Columbia University, 79. (Weblink)

  19. Th. Fetz  (2013)
    Limit state functions and parameter-depending uncertainty described by sets of probability measures.
    In: ÖMG - DMV Congress 2013. 18th ÖMG Congress and Annual DMV Meeting. University of Innsbruck, September 23 – 27, 2013. Innsbruck: Leopold-Franzens-Universität Innsbruck / Österreichische Mathematische Gesellschaft - ÖMG, 146.(Weblink)

  20. Th. Fetz  (2013)
    Parameter Dependent Uncertainty in Limit State Functions.
    In: Cozman, Fabio; Denoeux, Thierry; Destercke, Sébastien; Seidenfeld, Teddy: Proceedings of the Eighth International Symposium on Imprecise Probability: Theories and Applications (ISIPTA'13). Compiègne: Université de Technologie de Compiègne / University of Technology of Compiègne, ISBN 978-2-913923-35-5, 391. (Weblink)

  21. J. Nedeljkovic, M. Oberguggenberger (2013)
    Stochastic PDEs with Random Set Coefficients.
    In: Cozman, Fabio; Denoeux, Thierry; Destercke, Sébastien; Seidenfeld, Teddy: Proceedings of the Eighth International Symposium on Imprecise Probability: Theories and Applications (ISIPTA'13). Compiègne: Université de Technologie de Compiègne / University of Technology of Compiègne, ISBN 978-2-913923-35-5, 399. (Weblink)

  22. De Groof, V.; Oberguggenberger, M.; Haller, H.; Degenhardt, R.; Kling, A. (2012): Quantitative assessment of random field models in finite element buckling analyses of composite cylinders.
    In: Eberhardsteiner, J. et al. (eds.): Proceedings of the 6th European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS 2012). September 10-14 2012, Vienna, Austria. Wien: Technische Universität Wien., ISBN 978-3-9502481-9-7.

  23. S. Tsantaki, L. Wurzer, C. Jäger, Ch. Adam, M. Oberguggenberger (2012)
    Refined collapse capacity spectra for predicting seismic collapse of structures vulnerable to the P-delta effect.
    In: J. Eberhardsteiner, H.J. Böhm, F.G. Rammerstorfer (Eds.), CD-ROM Proceedings of the 6th European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS 2012), Vienna University of Technology, Wien, 17 pp.

  24. B. Schmelzer, Ch.  Adam, M. Oberguggenberger (2012)
    Seismic performance of Tuned Mass Dampers with uncertain parameters.
    In: Eberhardsteiner, J. et al. (eds.): Proceedings of the 6th European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS 2012). September 10-14, Vienna, Austria. Wien: Technische Universität Wien, ISBN 978-3-9502481-9-7,  CD-ROM.

  25. B. Schmelzer (2011)
    Characterizing joint distributions of random sets with an application to set-valued stochastic processes.
    In: F.P.A. Coolen, G. de Cooman, Th. Fetz, M. Oberguggenberger (Eds.), ISIPTA'11, Proceedings of the Seventh International Symposium on Imprecise Probability: Theories and Applications. SIPTA, Innsbruck, 307 - 316.

  26. B. Schmelzer, M. Oberguggenberger, Ch. Adam (2011)
    Set-valued processes induced by parameterised stochastic differential equations with an application to Tuned Mass Dampers.
    In: G. Brenn, G.A. Holzapfel, M. Schanz, O. Steinbach (Eds.), Proceedings in Applied Mathematics and Mechanics 11, 705 - 706.

  27. Th. Fetz (2011)
    Modelling uncertainties in limit state functions.
    In: F. Coolen, G. de Cooman, Th. Fetz, and M. Oberguggenberger (Eds.), ISIPTA'11, Proceedings of the Seventh International Symposium on Imprecise Probability: Theories and Applications, Innsbruck, SIPTA, 179 - 188. 

  28. Th. Fetz ( 2011)
    An extension of limit state functions by parameterized probability measures.
    In: M. Faber, J. Koehler, K. Nishijima: Applications of Statistics and Probability in Civil Engineering. Proceedings of the 11th International Conference on Applications of Statistics and Probability in Civil Engineering. Taylor and Francis, London, 827 - 835.

  29. Th. Fetz, M. Oberguggenberger (2010)
    Multivariate Models for Random Sets Generated by Non-parametric Methods.
    In: H. Furuta, D. M. Frangopol, M. Shinozuka (Eds.), Safety, Reliability and Risk of Structures, Infrastructures and Engineering Systems. Proceedings of ICOSSAR2009, CRC Press/Balkema, Leiden, 1246 - 1253.

  30. B. Schmelzer (2010)
    Set-valued stochastic processes and sets of probability measures induced by stochastic differential equations with random set parameters.
    In: C. Borgelt, G. Gonzalez-Rodriguez, W. Trutschnig, M. A. Lubiano, M. A. Gil, P. Grzegorzewski, O. Hryniewicz, eds., Combining Soft Computing and Statistical Methods in Data Analysis, Springer-Verlag Berlin Heidelberg, 561 - 568.

  31. B. Schmelzer, M. Oberguggenberger, C. Adam (2010)
    Efficiency of tuned mass dampers with uncertain parameters on the performance of structures under stochastic excitation.
    Proc. IMechE Vol. 224 Part O: J. Risk and Reliability, 297 - 308.

  32. W. Fellin, J. King, A. Kirsch, M. Oberguggenberger (2010)
    Uncertainty modelling and sensitivity analysis of tunnel face stability.
    In: H. Furuta, D.M. Frangopol, M. Shinozuka (Eds.), Safety, Reliability and Risk of Structures, Infrastructures and Engineering Systems. Proceedings of ICOSSAR2009, CRC Press/Balkema, Leiden, 1299 - 1306.

  33. Th. Fetz (2009)
    Multivariate Models and Confidence Intervals: A Local Random Set Approach. 
    In: Thomas Augustin, Frank P.A. Coolen, Serafin Moral, Matthias C.M. Troffaes (Eds.), ISIPTA'09, Proceedings of the Sixth International Symposium on Imprecise Probability: Theories and Applications. SIPTA, Durham, 199 - 208.

  34. B. Schmelzer (2009)
    On solutions to stochastic differential equations with parameters modeled by random sets.
    In: Thomas Augustin, Frank P.A. Coolen, Serafin Moral, Matthias C.M. Troffaes (Eds.), ISIPTA'09, Proceedings of the Sixth International Symposium on Imprecise Probability: Theories and Applications. SIPTA, Durham, 367 - 376.

  35. M. Oberguggenberger, B. Schmelzer, W. Fellin (2008)
    Sensitivity analysis through random and fuzzy sets.
    2008 NAFIPS Conference Proceedings, IEEE Catalog Number CFP08750-CDR, paper number 60606.

  36. M. Oberguggenberger (2008)
    Analyzing Uncertainty in Civil Engineering.
    In: A. Grmanova, M. Minarik (Eds.), 70 vears of FCE STU, Proceedings of the International Scientific Conference. Slovak University of Technology, Bratislava, CD ISBN 978-80-227-2979-6.

  37. M. Oberguggenberger, J. King (2008)
    Buckling and collapse of shell structures: sensitivity analysis.
    2nd International Conference on Buckling and Postbuckling Behaviour of Composite Laminated Shell Structures. Braunschweig. Conference Proceedings (CD), Abstract No. 45, COCOMAT Partners, DLR Braunschweig.

  38. Th. Fetz (2007)
    Multiparameter Models: Probability models parameterized by random sets.
    In: de Cooman, G.; Vejnarová, J.; Zaffalon, M. (eds.): Proceedings of the Fifth International Symposium on Imprecise Probability: Theories and Applications (ISIPTA'07). Charles University, Faculty of Mathematics and Physics Prague, Czech Republic, 16-19 July 2007. Action M Agency, Prague, 183 - 192. (articlepresentationposter)

  39. M. Oberguggenberger, J. King, B. Schmelzer (2007)
    Imprecise probability methods for sensitivity analysis in engineering.
    In: de Cooman, G.; Vejnarová, J.; Zaffalon, M. (eds.): Proceedings of the Fifth International Symposium on Imprecise Probability: Theories and Applications (ISIPTA'07). Charles University, Faculty of Mathematics and Physics Prague, Czech Republic, 16-19 July 2007. Action M Agency, Prague,  317 - 326. (article)

  40. M. Oberguggenberger, J. King, B. Schmelzer (2007)
    Reliability of shell structures through sensitivity analysis.
    1st CEAS European Air and Space Conference, Berlin, CD ISSN 0700-408, 1823 - 1832.

  41. D. Alavarez Marin (2006)
    On the Use of Infinite Random Sets for Bounding the Probability of Failure in the Case of Parameter Unvertainty.
    In: Soares, C. A. et. al. (eds.): Computational Mechanics - Solids, Structures and Coupled Problems, Dordrecht, Springer.

  42. M. Oberguggenberger, W. Fellin (2005)
    Assessing the sensitivity of failure probabilities: a random set approach. 
    In: G. Augusti, G.I. Schuëller, M. Ciampoli (Eds.), Safety and Reliability of Engineering Systems and Structures. ICOSSAR 2005 - Rome. Millpress, Rotterdam, 1755 - 1760.

  43. M. Oberguggenberger, W. Fellin (2004)
    The fuzziness and sensitivity of failure probabilities. 
    In: W. Fellin, H. Lessmann, M. Oberguggenberger, R. Vieider (Eds.), Analyzing Uncertainty in Civil Engineering. Springer, 33 - 48

  44. M. Oberguggenberger (2004)
    The mathematics of uncertainty: models, methods and interpretations. 
    In: W. Fellin, H. Lessmann, M. Oberguggenberger, R. Vieider (Eds.), Analyzing Uncertainty in Civil Engineering. Springer, 51 - 72.

  45. Th. Fetz (2004)
    Multi-parameter models: rules and computational methods for combining uncertainties. 
    In: Analyzing Uncertainty in Civil Engineering. Fellin, Wolfgang, Lessmann, Heimo, Vieider, Robert Oberguggenberger, Michael (Eds.), Springer, 73 - 100.

  46. M. Oberguggenberger (2004)
    Queueing models with fuzzy data in construction management. 
    In: W. Fellin, H. Lessmann, M. Oberguggenberger, R. Vieider (Eds.), Analyzing Uncertainty in Civil Engineering. Springer, 197 - 210.

  47. M. Oberguggenberger (2004)
    Fuzzy and weak solutions to differential equations. 
    Proceedings of the Tenth International Conference IPMU 2004, Perugia. Editrice Università La Sapienza, Italy, 517 - 524.

  48. W. Fellin, M. Oberguggenberger (2003)
    Das Problem der Unsicherheit der Versagenswahrscheinlichkeit und mögliche Alternativen.
    In: M. Ziegler (Ed.), Beiträge zum Workshop Stochastische Prozesse in der Geotechnik. Schriftenreihe Geotechnik im Bauwesen, RWTH Aachen, Heft 1, 15 - 28.

  49. M. Oberguggenberger (2003)
    Fuzzy data in geotechnical models.

    In: D. Kolymbas (Ed.), Advanced Mathematical and Computational Geomechanics. Springer, Berlin, 301 - 315.

  50. W. Fellin, M. Oberguggenberger (2002)
    From probability to fuzzy sets: the struggle for meaning in geotechnical risk assessment. 
    In: Pöttler, R., Klapperich, H., Schweiger, H. F. editors, Probabilistics in GeoTechnics: Technical and Economic Risk Estimation. United Engineering Foundation, Verlag Glückauf GmbH, Essen, 29 - 38. (.pdf 96k)

  51. Th. Fetz (2001)
    Sets of joint probability measures generated by marginal focal sets. 
    In: de Cooman, G., Fine, T., Seidenfeld, T., editors, ISIPTA '01, Proceedings of the Second International Symposium on Imprecise Probabilities and Their Applications, Shaker Publishing BV, Maastricht, 171 - 178. (.pdf 175k)

  52. M. Oberguggenberger, F. Russo (2001)
    Fuzzy, probabilistic and stochastic modelling of an elastically bedded beam. 
    In: de Cooman, G., Fine, T., Seidenfeld, T., editors, ISIPTA '01, Proceedings of the Second International Symposium on Imprecise Probabilities and Their Applications, Shaker Publishing BV, Maastricht, 293 - 300. (.ps 244k)

  53. Th. Fetz (1997)
    Finite element method with fuzzy parameters. 
    In Troch I. and Breitenecker F., editors, Proceedings IMACS Symposium on Mathematical Modelling, volume 11, ARGESIM Report, Vienna, 81-86. (.ps 256k) 

Posters

Posters are part of the presentation format of the  "International Symposium on Imprecise Probability: Theories and Applications" (ISIPTA):
ISIPTA 99(1), 99(2), 01(1), 01(2), 07(1), 07(2), 09, 11, 13, 15 , 17, 19.

Other poster presentations

International Snow Science Workshop:  ISSW2018.


Gallery of all posters ...

 

Diploma thesis & Dissertations

▸ Diploma thesis 

  • Simon Pittschmann: Lösungsmethoden für Funktionen und gewöhnliche Differentialgleichungen mit unscharfen Parametern (1995)
  • Veronika Sonnweber: Fachdidaktische Aufbereitung der Fuzzy-Methoden in der Mathematik (1996)
  • Georg Göbel: Prozessmodellierung mit Fuzzy-Logik (1997)
  • Gregor Schwab: Risikomanagement in der Projektplanung - ein Softwareplugin für MS Project (2003)
  • Julian King: Stochastic Simulation Methods in Sensitivity Analysis (2007)
  • Bernhard Schmelzer: Imprecise Probability Methods for Sensitivity Analysis in Engineering Applications (2007)
  • Christoph Aichinger: Monte Carlo methods in iterative solvers (2010)
  • Katharina Riedinger: Simulation of random fields for sensitivity analysis (2010)
  • Helene Roth: Sensitivity analysis with correlated variables (2010)
  • Martin Schwarz: Monte Carlo based reliability analysis (2013)
  • Johannes Bereuter: Fehlerbaumanalyse - Anwendungspotential im Infrastrukturbereich (2014)
  • Matthias Köchl: Quality assessment of engineering models using Kriging and sensitivity analysis (2017)
  • Daniel Sirianni: Stochastic parameter calibration in finite element models – an industrial example (2018)
  • Lukas Lamplmayr: Fast computation of Fourier integral operators (2020)

In collaboration with the Unit of Strength of Materials and Structural Analysis

  • Samuel Gostner: Ein nichtlineares Finite-Elemente-Verfahren für Schalen mit Imperfektionen (2019).

In collaboration with the Unit of Hydraulic Engineering

  • Dieter Stolz: Hochwasserabschätzung in unbeobachteten Einzugsgebieten unter Zuhilfenahme von regionalen Extremwertstatistiken (2006)

In collaboration with the Unit of Project and Construction Management

  • Georg Hunger: Verschiedene Problemstellungen der Netzplanberechnung mit der Fuzzy-Methode (1995)
  • Robert Zach: Untersuchung über die nicht-deterministische Annahme von Werten in Bauprozessen (Erdbetrieb; Unscharfe Leistung der Geräte) (1995)
  • Günther Krenn: Kosten und Bauzeit. Eine Untersuchung über Zusammenhänge mit Fuzzy-Methoden (1996)
  • David Köll: Netzplanberechnung mit unscharfen Zahlen (1997)
  • Thomas Markt: Komplexe Systeme und Unschärfen: Systemanalyse, Anwendung in der Netzplantechnik (1997)
  • Bernd Raderbauer: Entscheidung bei mehrfacher Zielsetzung unter Rsiko und Unschärfe (1998)
  • Jochen Bell: Der Einfluß der Warteschlange auf den Erdbetrieb (1998)

In collaboration with the Unit of Geotechnical and Tunnel Engineering

  • Martin Leitgeb: Grundbruchberechnung mit unscharfen Bodenkennwerten (2001)
  • Valentin Hellweger: Stochastic methods for parameter estimation in avalanche modelling (2016)

In collaboration with the Institute of Mathematics (Faculty of Mathematics, Computer Science and Physics)

  • Lilla Petroszki: Stochastic processes, orthogonal polynomials and chaos expansions (2018)
  • Katrin Pattis: Optimal control problems – chaos expansion approach (2019)

▸ Dissertations 

  • Harald Pilser: Fuzzy-Methoden bei der Investitionskostenschätzung im Anlagenbau (1998)
  • Rachanee Phuwapathanapun: Network analysis with fuzzy and stochastic data (2000)
  • Thomas Fetz: Mengen von gemeinsamen Wahrscheinlichkeitsmaßen erzeugt durch zufällige Mengen (2003)
  • Simon Pittschmann: Lösungsmethoden für gwöhnliche Differentialgleichungen mit unscharfen Parametern (2003)
  • Diego Alvarez Marin: Infinite random sets and applications in uncertainty analysis (2007)
  • Bernhard Schmelzer: On solutions of stochastic differential equations with parameters modelled by random sets (2011)
  • Vincent de Groof: Sampling-based sensitivity studies and iterative solvers in shell analysis (2015)
  • Lukas Wurzer: Stochastic differential equations, random sets and distributions (2015)
  • Martin Schwarz: Stochastic Fourier integral operators and hyperbolic differential equations in random media – theory and applications (2019)
  • Jelena Nedeljković: Partial differential equations with random sets and random field coefficients (2020)

In collaboration with the Unit of Geotechnical and Tunnel Engineering

  • Jan-Thomas Fischer: Computational and experimental snow avalanche dynamics – connection and evaluation (2013)

In collaboration with the Unit of Project and Construction Management

  • Julius Mühlögger: Netzplantechnik mit unscharfen Methoden (1994)
  • Robert Wachter: Der Einarbeitungseffekt bei mechanischen Tunnelvortrieben (2001)
  • Roland Feik: Elektronisch gestütztes Risikomanagement im Bauwesen. Ein Konzept eines elektronischen Chancen- und Gefahrenmanagementsystems für Auftraggeber (2006)
  • Philip Sander: Probabilistische Risikoanalyse für Bauprojekte – Entwicklung eines branchenorientierten softwaregestützten Risiko-Analyse-Systems (2012)

In collaboration with the Department of Statistics

  • Lisa Schlosser: Distributional trees and forests (2020)

In collaboration with the Institute of Mathematics, University of Novi Sad

  • Danijela Rajter-Cirić: Construction of Colombeau solutions to deterministic and stochastic differential equations (2001)
  • Dora Seleši: Generalized stochastic processes in infinite dimensional spaces with applications to singular stochastic partial differential equations (2007)
  • Tijana Levajković: Malliavin calculus for chaos expansions of generalized stochastic processes with application to some class of differential equations (2011)
  • Snežana Gordić: Generalized stochastic processes with applications in equation solving (2018)


Nach oben scrollen