On some advanced type inequalities for Sugeno integral and T-(S-)evaluators

被引：16

作者：

Agahi, Hamzeh ^{[2
]}

Mesiar, Radko ^{[3
,4
]}

Ouyang, Yao ^{[1
]}

机构：

[1] Huzhou Teachers Coll, Fac Sci, Huzhou 313000, Zhejiang, Peoples R China

[2] Amirkabir Univ Technol, Fac Math & Comp Sci, Dept Stat, Tehran 15914, Iran

[3] Slovak Univ Technol Bratislava, Fac Civil Engn, Dept Math & Descript Geometry, SK-81368 Bratislava, Slovakia

[4] Acad Sci Czech Republ, Inst Informat Theory & Automat, CR-18208 Prague 8, Czech Republic

来源：

INFORMATION SCIENCES | 2012年 / 190卷

关键词：

Nonadditive measure; Sugeno integral; Comonotone functions; Chebyshev's inequality; Minkowski's inequality; Holder's inequality; CHEBYSHEV TYPE INEQUALITIES;

D O I：

10.1016/j.ins.2011.10.021

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper strengthened versions of the Minkowski, Chebyshev, Jensen and Holder inequalities for Sugeno integral and T-(S-)evaluators are given. As an application, some equivalent forms and some particular results have been established. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：64 / 75

页数：12

共 30 条

[1] Berwald type inequality for Sugeno integral [J].

Agahi, Hamzeh ;

Mesiar, Radko ;

Yao Ouyang ;

Pap, Endre ;

Strboja, Mirjana .

APPLIED MATHEMATICS AND COMPUTATION, 2010, 217 (08) :4100-4108

[2]

Agahi H, 2010, KYBERNETIKA, V46, P83

[3] General Minkowski type inequalities for Sugeno integrals [J].

Agahi, Hamzeh ;

Mesiar, Radko ;

Yao Ouyang .

FUZZY SETS AND SYSTEMS, 2010, 161 (05) :708-715

[4] New general extensions of Chebyshev type inequalities for Sugeno integrals [J].

Agahi, Hamzeh ;

Mesiar, Radko ;

Yao Ouyang .

INTERNATIONAL JOURNAL OF APPROXIMATE REASONING, 2009, 51 (01) :135-140

[5]

[Anonymous], 1992, Fuzzy measure theory

[6] T-evaluators and S-evaluators [J].

Bodjanova, Slavka ;

Kalina, Martin .

FUZZY SETS AND SYSTEMS, 2009, 160 (14) :1965-1983

[7] Choquet integral based aggregation approach to software development risk assessment [J].

Buyukozkan, Gulcin ;

Ruan, Da .

INFORMATION SCIENCES, 2010, 180 (03) :441-451

[8] The use of the discrete Sugeno integral in decision-making: A survey [J].

Dubois, D ;

Marichal, JL ;

Prade, H ;

Roubens, M ;

Sabbadin, R .

INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS, 2001, 9 (05) :539-561

[9]

Dubois D., 1998, Uncertainty in Artificial Intelligence. Proceedings of the Fourteenth Conference (1998), P121

[10] A Chebyshev type inequality for fuzzy integrals [J].

Flores-Franulic, A. ;

Roman-Flores, H. .

APPLIED MATHEMATICS AND COMPUTATION, 2007, 190 (02) :1178-1184

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