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The convergence of (DG) fuzzy integrals

โœ Scribed by Song Shiji; Shi Peilin; Wang Haiyan

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
639 KB
Volume
90
Category
Article
ISSN
0165-0114

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โœฆ Synopsis

The definition of another kind of generalized fuzzy integrals is introduced by means of the so-called generalized triangular conorm, it is said to be dual generalized fuzzy integrals and is denoted by (DG) fuzzy integrals. In this paper, several equivalent forms of (DG) fuzzy integrals are given, particularly, the convergence theorem in fuzzy measure and the monotone convergence theorems are obtained. 0 1997 Elsevier Science B.V.

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In this paper, a new kind of convergence, w-s convergence is introduced for certain type of fuzzy numbers taking values in separable reflexive Banach spaces. The convergence theorem of random fuzzy number integrals in the w-s sense is given and a condition, under which a fuzzy number function can be