Title :
Some properties of optimistic and pessimistic values of fuzzy variables
Author :
Peng, Jin ; Liu, Baoding
Author_Institution :
Dept. of Math., Huanggang Normal Univ., Hubei, China
Abstract :
Based on the possibility measure, necessity measure, and credibility measure, the optimistic and pessimistic values of fuzzy variable have been introduced for handling optimization problems in fuzzy environments. In this paper, some new properties of optimistic and pessimistic values of fuzzy variables are investigated. As an illustration, the optimistic and pessimistic values of a trapezoidal fuzzy variable are formulated.
Keywords :
fuzzy set theory; optimisation; possibility theory; credibility measure; fuzzy environments; necessity measures; optimistic values; optimization problems; pessimistic values; possibility measure; trapezoidal fuzzy variable; Constraint optimization; Fuzzy set theory; Fuzzy sets; Fuzzy systems; Information theory; Mathematical model; Mathematics; Possibility theory; Weight measurement;
Conference_Titel :
Fuzzy Systems, 2004. Proceedings. 2004 IEEE International Conference on
Print_ISBN :
0-7803-8353-2
DOI :
10.1109/FUZZY.2004.1375493
