Computing and modelling with fuzzy data and imprecise probabilities

Goals

  • Application of fuzzy and imprecise probability methods for modelling the effects of data uncertainties and fluctuations in civil engineering problems.
  • Development of numerical algorithms for computing with fuzzy data and imprecise probabilities.
  • Risk and uncertainty analysis in civil engineering by methods of imprecise probability.

Group members

Former group members

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

Research topics

  • imprecise probability methods for sensitivity analysis
  • probability measures prameterized by random sets
  • random sets, sets of joint probability measures, notionsw of independence
  • uncertainty modelling and risk analysis in civil engineering
  • finite element methods with imprecise data
  • differential equations with fuzzy 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. Th. Fetz, M. Oberguggenberger
    Imprecise random variables, random sets, and Monte Carlo simulation.
    Int. J. of Approximate Reasoning Reasoning 
    78(2016) 252 – 264.

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

  3. B. Schmelzer 
    Set-valued assessments of solutions to stochastic differential equations with random set parameters.

    In: Journal of Mathematical Analysis and Applications 400/2 (2013),  425 - 438. (DOI) (Weblink)

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

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

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

  7. Th. Fetz
    Multivariate Models and Variability Intervals: 
    A Local Random Set Approach 

    Int. J. of Uncertainty, Fuzziness and Knowledge-based Systems, 19(5) (2011), 799 - 823.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Contributions to Books and Proceedings

  1. 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.

  2. Th. Fetz
    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, (2017), 493 - 502.
  3. 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.

  4. 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, S. 137 - 146. (Weblink)

  5. 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, S. 423 - 430. (DOI)

  6. 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, S. 864 - 875. (DOI)

  7. 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, S. 383 - 390. (DOI)

  8. 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, S. 57 - 83. (DOI) (Weblink)

  9. 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, S. 291 - 304.

  10. 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, S. 85 - 112. (DOI) (Weblink)

  11. 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, S. 263 - 356. (Weblink)

  12. 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, S. 79. (Weblink)

  13. 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, S. 146.(Weblink)

  14. 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, S. 391. (Weblink)

  15. 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, S. 399. (Weblink)

  16. S. Tsantaki, L. Wurzer, C. Jäger, Ch. Adam, M. Oberguggenberger,
    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 2012, 17 pp.

  17. B. Schmelzer, Ch.  Adam, M. Oberguggenberger
    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 2012, Vienna, Austria. Wien: Technische Universität Wien, ISBN 978-3-9502481-9-7, S. CD-ROM.

  18. B. Schmelzer
    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 2011, 307 - 316.

  19. B. Schmelzer, M. Oberguggenberger, Ch. Adam
    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 (2011), 705 - 706.

  20. Th. Fetz
    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 2011, SIPTA, 179 - 188. 

  21. Th. Fetz
    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  2011, 827 - 835.

  22. Th. Fetz, M. Oberguggenberger
    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 2010, 1246 - 1253.

  23. B. Schmelzer
    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, 2010, 561 - 568.

  24. B. Schmelzer, M. Oberguggenberger, C. Adam
    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, 2010, 297 - 308.

  25. W. Fellin, J. King, A. Kirsch, M. Oberguggenberger
    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 2010, 1299 - 1306.

  26. Th. Fetz
    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 2009, 199 - 208.

  27. B. Schmelzer
    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 2009, 367 - 376.

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

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

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

  31. Th. Fetz
    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 2007, 183 - 192. (articlepresentationposter)

  32. M. Oberguggenberger, J. King, B. Schmelzer
    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 2007,  317 - 326. (article)

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

  34. D. Alavarez Marin
    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, 2006.

  35. M. Oberguggenberger, W. Fellin
    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 2005, 1755 - 1760.

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

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

  38. Th. Fetz
    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, 2004, 73 - 100.

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

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

  41. W. Fellin, M. Oberguggenberger
    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, 2003, 15 - 28.

  42. M. Oberguggenberger
    Fuzzy data in geotechnical models.
     
    In: D. Kolymbas (Ed.), Advanced Mathematical and Computational Geomechanics. Springer, Berlin 2003, 301 - 315.

  43. W. Fellin, M. Oberguggenberger 
    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 Gl¨ckauf GmbH, Essen, 2002, pages 29 - 38. (.pdf 96k)

  44. Th. Fetz 
    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 2001, 171 - 178. (.pdf 175k)

  45. M. Oberguggenberger, F. Russo 
    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 2001, 293 - 300. (.ps 244k)

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



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)

In collaboration with the Institute of Hydraulic Engineering

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

In collaboration with the Institute of 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 Institute of Geotechnical and Tunnel Engineering

  • Martin Leitgeb: Grundbruchberechnung mit unscharfen Bodenkennwerten (2001)

Dissertations

  • Julius Mühlögger: Netzplantechnik mit unscharfen Methoden (1994)
  • Harald Pilser: Fuzzy-Methoden bei der Investitionskostenschätzung im Anlagenbau (1998)
  • Rachanee Phuwapathanapun: Network analysis with fuzzy and stochastic data (2000)
  • Robert Wachter: Der Einarbeitungseffekt bei mechanischen Tunnelvortrieben (2001)
  • 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)


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