Fuzzy arithmetical approach to the solution of finite element problems with uncertain parameters

Mechanics Research Communications

Volumn 27, Issue 3, 2000, Pages 257-272

  Hanss, Michael ^a   Willner, Kai ^a  

^a UNIVERSITY OF STUTTGART   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

FUZZY SETS; MATHEMATICAL MODELS; PROBLEM SOLVING;

FUZZY NUMBERS; UNCERTAINTY ANALYSIS;

FINITE ELEMENT METHOD;

EID: 0034187434     PISSN: 00936413     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0093-6413(00)00091-4     Document Type: Article

References (9)

1. G. Alefeld and J. Herzberger. Introduction to Interval Computations. Academic Press. New York (1983)
2. K.-J. Bathe, Finite Element Procedures, Prentice-Hall, Upper Saddle River, NJ (1996)
3. D. Driankov, H. Hellendoorn and M. Reinfrank, An Introduction to Fuzzy Control. 2nd Edition, Springer, Berlin (1996)
4. D. Dubois and H. Prade. Fuzzy Sets and Systems: Theory and Applications. Academic Press, New York (1980)
5. M. Hanss, A nearly strict fuzzy arithmetic for solving problems with uncertainties. In: Proc. of the 19th International Conference of the North American Fuzzy Information Processing Society - NAFIPS 2000, Atlanta, GA, USA (2000)
6. A. Kaufmann and M. M. Gupta, Introduction to Fuzzy Arithmetic, Van Nostrand Reinhold, New York (1991)
7. L. A. Zadeh, Fuzzy sets, Information and Control 8. 338 (1965), S. 338 353.
8. L. A. Zadeh, The concept of a linguistic variable and its application to approximate reasoning, Memorandum ERL-M 411, Berkeley. CA (1973)
9. H.-J. Zimmermann, Fuzzy Set Theory and its Applications, 2nd Edition, Kluwer Academic Publishers, Dordrecht (1991)