Constructing possibility measures

Author

De Baets, Bernard ; De Cooman, Gert

Author_Institution

Dept. of Appl. Math. & Comput. Sci., Gent Univ., Belgium

fYear

1995

fDate

17-19 Sep 1995

Firstpage

472

Lastpage

477

Abstract

Addresses some aspects of the extension problem for possibility measures: given the values that a (fuzzy) set mapping takes on a family of (fuzzy) sets, is it possible to extend this mapping to a possibility measure? This problem is shown to be equivalent to a special system of relational equations. When the family of sets considered is a (semi-)partition, two important solutions are identified. It is shown that these solutions, and their fuzzifications, play a central part in the treatment of the more general extension problem. This role is shown to be even more conspicuous when the family of fuzzy sets considered is a T- (semi-)partition, a notion introduced and studied for the first time in this paper

Keywords

fuzzy set theory; possibility theory; T-partition; extension problem; fuzzification; fuzzy set mapping values; possibility measures; relational equations; semi-partition; Computer science; Equations; Fuzzy sets; Kernel; Lattices; Mathematics; Power measurement;

fLanguage

English

Publisher

ieee

Conference_Titel

Uncertainty Modeling and Analysis, 1995, and Annual Conference of the North American Fuzzy Information Processing Society. Proceedings of ISUMA - NAFIPS '95., Third International Symposium on

Conference_Location

College Park, MD

Print_ISBN

0-8186-7126-2

Type

conf

DOI

10.1109/ISUMA.1995.528566

Filename

528566