Sugeno integral based on absolutely monotone real set functions

被引：5

作者：

Mihailovic, Biljana ^{[2
]}

Pap, Endre ^{[1
]}

机构：

[1] Univ Novi Sad, Dept Math & Informat, Novi Sad 21000, Serbia

[2] Univ Novi Sad, Fac Tech Sci, Novi Sad 21000, Serbia

来源：

FUZZY SETS AND SYSTEMS | 2010年 / 161卷 / 22期

关键词：

Absolutely monotone set function; Sign stable set function; Sugeno integral; Symmetric Sugeno integral; FUZZY MEASURES; REPRESENTATION;

D O I：

10.1016/j.fss.2010.03.004

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

The class of all absolutely monotone and sign stable set functions with m(empty set) = 0, denoted by AMSS is introduced Necessary and sufficient conditions are obtained for a set function in, m(empty set) = 0 to be a member of AMSS A Sugeno type integral of an A measurable real valued function is defined with respect to an absolutely monotone and sign stable set function and some of its properties are shown A representation of a comonotone-cosigned (V)-additive functional by Sugeno integral based on m is an element of A MSS is obtained (C) 2010 Elsevier B V All rights reserved

引用

页码：2857 / 2869

页数：13

共 32 条

[31] CHOQUET INTEGRAL-BASED INFORMATION AGGREGATION OPERATORS UNDER THE INTERVAL-VALUED INTUITIONISTIC FUZZY SET AND ITS APPLICATIONS TODECISION-MAKING PROCESS [J].

Garg, Harish ;

Agarwal, Nikunj ;

Tripathi, Alka .

INTERNATIONAL JOURNAL FOR UNCERTAINTY QUANTIFICATION, 2017, 7 (03) :249-269

[32] Berwald-type inequalities for Sugeno integral with respect to (α,m,r)g\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}${ ( {\alpha,m,r} )_{g}}$\end{document}-concave functions [J].

Dong-Qing Li ;

Yu-Hu Cheng ;

Xue-Song Wang ;

Xue Qiao .

Journal of Inequalities and Applications, 2016 (1)

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