论文信息 - Representation and application of fuzzy numbers

Representation and application of fuzzy numbers

Abstract In this paper we present the theoretical background of fuzzy numbers connected with the possibility and Dempster-Shafer theories. We describe some types of representation of fuzzy numbers and we study the notions of the distance and orders between fuzzy numbers based on these representations. The second part is devoted to the application of fuzzy numbers in data analysis, artificial intelligence and decision making.

Stanislaw Heilpern | S. Heilpern

[1] G. Bortolan,et al. A review of some methods for ranking fuzzy subsets , 1985 .

[2] Stefan Chanas,et al. Deriving expected values from probabilities of fuzzy subsets , 1991 .

[3] Stanisław Heilpern,et al. The expected value of a fuzzy number , 1992 .

[4] Lotfi A. Zadeh,et al. The concept of a linguistic variable and its application to approximate reasoning-III , 1975, Inf. Sci..

[5] M. Albrecht. Approximation of functional relationships to fuzzy observations , 1992 .

[6] Didier Dubois,et al. Fuzzy sets and systems ' . Theory and applications , 2007 .

[7] P. Kloeden,et al. Metric spaces of fuzzy sets , 1990 .

[8] Phil Diamond,et al. Least Squares Methods in Fuzzy Data Analysis , 1993 .

[9] Stanisław Heilpern. Fuzzy subsets of the space of probability measures and expected value of fuzzy variable , 1993 .