A generalized model for ranking fuzzy sets

Author

Cross, V. ; Setnes, M.

Author_Institution

Dept. of Syst. Anal., Miami Univ., Oxford, OH, USA

Volume

1

fYear

1998

fDate

4-9 May 1998

Firstpage

773

Abstract

A new, generalized approach for the ranking of n fuzzy numbers has been developed based on compatibility measures. Many existing ranking proposals are specific examples of the generalized method determined by the compatibility measure used. For each pair of the n fuzzy numbers to be ordered, the method determines the fuzzy minimum and the fuzzy maximum of the pair and measures the compatibility of each number in the pair to the pair´s fuzzy minimum and maximum. A fuzzy number´s compatibility to the fuzzy minimum represents its degree of being the smaller of the two; likewise, its compatibility to the fuzzy maximum represents its degree of being the larger of the two. From the pairwise rankings a total ordering can be obtained for the n fuzzy numbers. The relation of other ranking methods to each other and how the compatibility-based ranking method generalizes these approaches are presented

Keywords

fuzzy set theory; optimisation; compatibility measures; fuzzy maximum; fuzzy minimum; fuzzy numbers; fuzzy set ranking; pairwise rankings; Control systems; Councils; Fuzzy logic; Fuzzy sets; Laboratories; Proposals; Taxonomy;

fLanguage

English

Publisher

ieee

Conference_Titel

Fuzzy Systems Proceedings, 1998. IEEE World Congress on Computational Intelligence., The 1998 IEEE International Conference on

Conference_Location

Anchorage, AK

ISSN

1098-7584

Print_ISBN

0-7803-4863-X

Type

conf

DOI

10.1109/FUZZY.1998.687588

Filename

687588