(G) Fuzzy Integral on Fuzzy Set

Gui Ling Li

doi:10.4028/www.scientific.net/AMR.926-930.2863

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 926-930(G) Fuzzy Integral on Fuzzy Set

(G) Fuzzy Integral on Fuzzy Set

Abstract:

In this paper, the concept of (G) fuzzy integral on a fuzzy set is given and the basic properties of it are discussed. Monotone Convergence Theorem and Fatou Lemma are proved. Finally, A necessary and sufficient condition on which (G) fuzzy integrals of two fuzzy measurable functions on fuzzy sets are always equal is given.

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Periodical:

Advanced Materials Research (Volumes 926-930)

Pages:

2863-2866

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.926-930.2863

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Online since:

May 2014

Authors:

Gui Ling Li*

Keywords:

(G) Fuzzy Integral, Crisp Null-Subtractivity, Fuzzy Measure, Fuzzy-Algebra, Generalized Triangular Norm, Measurable Function, Monotone Convergence Theorem

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