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

[21] A NOTE ON THE MONOTONE INTERVAL-VALUED SET FUNCTION DEFINED BY THE INTERVAL-VALUED CHOQUET INTEGRAL [J].

Tang, Lee-Chae .

COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2007, 22 (02) :227-234

[22] Diagnose Model of Parkinson's Disease Based on Principal Component Analysis and Sugeno Integral [J].

Cao Xiuming ;

Song Jinjie ;

Zhang Caipo .

2011 30TH CHINESE CONTROL CONFERENCE (CCC), 2011, :2830-2834

[23] A similarity measure of intuitionistic fuzzy sets based on the Sugeno integral with its application to pattern recognition [J].

Hwang, Chao-Ming ;

Yang, Miin-Shen ;

Hung, Wen-Liang ;

Lee, Ming-Gay .

INFORMATION SCIENCES, 2012, 189 :93-109

[24] A New Nonlinear Choquet-Like Integral With Applications in Normal Distributions Based on Monotone Measures [J].

Mehri-Dehnavi, Hossein ;

Agahi, Hamzeh ;

Mesiar, Radko .

IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2020, 28 (02) :288-293

[25] Fusing fuzzy association rule-based classifiers using Sugeno integral with ordered weighted averaging operators [J].

Hu, Yi-Chung .

INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS, 2007, 15 (06) :717-735

[26] A novel Sugeno Integral based Similarity Measure of Generalized Intuitionistic Fuzzy soft sets and its Application in Decision making [J].

Das, Niher Ranjan ;

Nur, Saiyeda Sabera ;

Tiwari, Ashutosh ;

Lohani, Q. M. Danish .

2022 IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS (FUZZ-IEEE), 2022,

[27] Sugeno Integral Based on Overlap Function and Its Application to Fuzzy Quantifiers and Multi-Attribute Decision-Making [J].

Mao, Xiaoyan ;

Temuer, Chaolu ;

Zhou, Huijie .

AXIOMS, 2023, 12 (08)

[28] Generic Stability Criteria for Switched Nonlinear Systems With Switching-Signal-Based Lyapunov Functions Using Takagi-Sugeno Fuzzy Model [J].

Chen, Weizhong ;

Fei, Zhongyang ;

Zhao, Xudong ;

Basin, Michael V. .

IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2022, 30 (10) :4239-4248

[29] Sensitivity analysis of biological Boolean networks using information fusion based on nonadditive set functions [J].

Kochi, Naomi ;

Helikar, Tomas ;

Allen, Laura ;

Rogers, Jim A. ;

Wang, Zhenyuan ;

Matache, Mihaela T. .

BMC SYSTEMS BIOLOGY, 2014, 8

[30] Integral transforms between tomogram and quasi-probability functions based on quantizer-dequantizer operators formalism [J].

Man'ko, V. I. ;

Markovich, L. A. .

JOURNAL OF MATHEMATICAL PHYSICS, 2020, 61 (10)

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