Conversion of probabilistic information into fuzzy sets for engineering decision analysis

Computers and Structures

Volumn 84, Issue 3-4, 2006, Pages 141-155

  Anoop, M B ^a   Rao, K Balaji ^a   Gopalakrishnan, S ^a  

^a CSIR STRUCTURAL ENGINEERING RESEARCH CENTRE   (India)

Author keywords

Decision analysis; Entropy; Hausdorff distance; Least square curve fitting; Measure of fuzziness; Seismic hazard analysis

Indexed keywords

CURVE FITTING; DECISION THEORY; ENTROPY; FUZZY SETS; HAZARDS; LEAST SQUARES APPROXIMATIONS; SEISMIC PROSPECTING;

HAUSDORFF DISTANCE (HD); LEAST-SQUARE CURVE FITTING; MEASURE OF FUZZINESS; SEISMIC HAZARD ANALYSIS;

PROBABILISTIC LOGICS;

EID: 28544438669     PISSN: 00457949     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compstruc.2005.09.017     Document Type: Article

References (34)

1. B.M. Ayyub Uncertainty handling and analysis in civil engineering 1998 CRC Press Boca Raton, FL
2. N.M. Newmark, and E. Rosenblueth Fundamentals of earthquake engineering 1971 Prentice-Hall, Inc. Englewood Cliffs, NJ
3. T.J. Ross Fuzzy logic with engineering applications 1985 Addison-Wesley CA
4. E[0, 1] representation of random upper semi-continuous functions Proceedings of the American Mathematical Society 130 2002 3237 3242
5. D. Dubois, and H. Prade On several representations of an uncertain body of evidence M.M. Gupta E. Sanchez Fuzzy information and decision processes 1982 North-Holland Amsterdam
6. D. Dubois, and H. Prade Possibility theory: an approach to computerized processing of uncertainty 1988 Plenum Press New York
7. Dubois D, Prade H. Fuzzy sets and probability: misunderstandings, bridges and gaps. In: Proceedings of Second IEEE International Conference on Fuzzy Systems. San Francisco, 1993.
8. D. Dubois, H. Prade, and S. Sandri On possibility/probability transformations R. Lowen M. Roubens Fuzzy logic 1993 Kluwer Dordrecht
9. D. Dubois, H. Prade, and P. Smets New semantics for quantitative possibility theory Proceedings of the 6th european conference on symbolic and quantitative approaches to reasoning and uncertainty (ESQARU 2001) 2001 Springer-Verlag Berlin
10. L.A. Zadeh Fuzzy sets as a basis for theory of possibility Fuzzy Sets Syst 1 1 1978 3 28
11. G. Mauris, V. Lasserre, and L. Foulloy Fuzzy modeling of measurement data acquired from physical sensors IEEE Trans Measur Instrument 49 2000 1201 1205
12. G.J. Klir A principle of uncertainty and information invariance Int J Gen Syst 17 1990 249 275
13. G.J. Klir, and B. Parviz Probability-possibility transformations: a comparison Int J Gen Syst 21 1992 291 310
14. G.J. Klir, and B. Yuan Fuzzy sets and fuzzy logic-theory and applications 2000 Prentice-Hall of India Pvt., Ltd. New Delhi
15. J.F. Geer, and G.J. Klir A mathematical analysis of information- preserving transformations between probabilistic and possibilistic formulations of uncertainty Int J Gen Syst 20 1992 143 176
16. A. Bardossy, and L. Duckstein Fuzzy rule-based modeling with applications to geophysical, biological and engineering systems 1995 CRC Press Boca Raton, FL
17. B.S.L.P. De Lima, and N.F.F. Ebecken A comparison of models for uncertainty analysis by the finite element method Finite Elem Anal Des 34 2000 211 232
18. D. Dubois, and H. Prade Fuzzy sets and systems: theory and applications 1980 Academic Press
19. M. Delgado, M.A. Vila, and W. Voxman On a canonical representation of fuzzy numbers Fuzzy Sets Syst 93 1998 125 135
20. M. Delgado, M.A. Vila, and W. Voxman A fuzziness measure for fuzzy numbers: applications Fuzzy Sets Syst 94 1998 205 216
21. C.E. Shannon A mathematical theory of communication The Bell Syst Tech J 27 1948 379 423 623-56
22. A. De Luca, and S. Termini A definition of a non-probabilistic entropy in the setting of fuzzy set theory Inform Control 20 1972 301 312
23. S.K. Pal Fuzzy set theoretic approach: a tool for speech and image recognition Proceedings of NATO ASI on pattern recognition theory and application 1981 Oxford England
24. W.-J. Wang, and C.-H. Chiu Entropy and information energy for fuzzy sets Fuzzy Sets Syst 108 1999 333 339
25. I.J. Taneja On generalized entropies with applications Lectures in applied mathematics and informatics 1990 Manchester United Press
26. B.B. Chaudhuri, and A. Rosenfeld A modified Hausdorff distance between fuzzy sets Inform Sci 118 1999 159 171
27. L. Boxer On Hausdorff-like metrics for fuzzy sets Pattern Recogn Lett 18 1997 115 118
28. Vignon D, Lovell BC, Andrews RJ. General purpose real-time object tracking using Hausdorff transforms. In: Proceedings of the 9th international conference on information processing and management of uncertainty in knowledge-based systems (IPMU 2002). France, Annecy 2002. p. 487-92.
29. Dubois D, Prade H. On distances between fuzzy points and their use for plausible reasoning. In: Proceedings of international conference on systems, man and cybernetics, 1983. p. 300-3.
30. W.M. Dong, W.L. Chiang, and H.C. Shah Fuzzy information processing in seismic hazard analysis and decision making Soil Dyn Earthquake Eng 6 1987 220 226
31. A. Der Kiureghian, and A.H.-S. Ang Fault-rupture model for seismic risk analysis Bull Seismol Soc Amer 67 1977 1173 1194
32. W.D.L. Finn State-of-the-art of geotechnical earthquake engineering practice Soil Dyn Earthquake Eng 20 2000 1 15
33. J. Goodman Structural fragility and principle of maximum entropy Struct Safety 3 1985 37 46
34. W.H. Press, S.A. Teukolsky, W.T. Vetterling, and B.P. Flannery Numerical recipes in FORTRAN: the art of scientific computing 1992 Cambridge University Press Cambridge, MA