A note on the interval-valued generalized fuzzy integral by means of an interval-representable pseudo-multiplication and their convergence properties

Authors:
Lee-Chae Jang
Affiliations:
Department of Computer Engineering, Konkuk University, Chungju 138-701, Republic of Korea
Venue:
Fuzzy Sets and Systems
Year:
2013

Citing 17
Cited 0

Generalized fuzzy integrals. Part I: fundamental concepts

Fuzzy Sets and Systems
Fuzzy integrals of fuzzy-valued functions

Fuzzy Sets and Systems
Generalized fuzzy integrals, part 3: convergent theorems

Fuzzy Sets and Systems
Fuzzy integral in multicriteria decision making

Fuzzy Sets and Systems - Special issue on fuzzy information processing
On the convergence of sequences of fuzzy measures and generalized convergence theorems of fuzzy integrals

Fuzzy Sets and Systems
Some properties of Choquet integrals of set-valued functions

Fuzzy Sets and Systems
Autocontinuity, convergence in measure, and convergence in distribution

Fuzzy Sets and Systems - Special issue on fuzzy measures and integrals
Generalized pseudo-convolution in the theory of probabilistic metric spaces, information, fuzzy numbers, optimization, system theory

Fuzzy Sets and Systems - Special issue on fuzzy measures and integrals
On the representation of Choquet integrals of set-valued functions, and null sets

Fuzzy Sets and Systems
On the convergence theorems of generalized fuzzy integral sequence

Fuzzy Sets and Systems
A note on the convergence theorem of generalized fuzzy integrals

Fuzzy Sets and Systems - Mathematics
Pseudo-arithmetical operations as a basis for the general measure and integration theory

Information Sciences—Informatics and Computer Science: An International Journal
Some properties of sequences of generalized fuzzy integrable functions

Fuzzy Sets and Systems
Generalized arithmetic operators and their relationship to t-norms in interval-valued fuzzy set theory

Fuzzy Sets and Systems
Corrections and remarks to the paper in Fuzzy and Systems 124 (2001) 117--123

Fuzzy Sets and Systems
On averaging operators for Atanassov's intuitionistic fuzzy sets

Information Sciences: an International Journal
A note on convergence properties of interval-valued capacity functionals and Choquet integrals

Information Sciences: an International Journal

Quantified Score

Hi-index	0.20

Visualization

Abstract

In this paper, we consider the generalized fuzzy integral which is a fuzzy integral based on the idempotent pseudo-addition (supremum) and a pseudo-multiplication studied by Xie and Fang in 2006. The purpose of this study is to define the interval-valued generalized fuzzy integral with respect to a fuzzy measure by means of an interval-representable pseudo-multiplication of measurable interval-valued functions and to investigate some characterizations and convergence properties of them.