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
收藏
页码：2857 / 2869
页数：13
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