On Stolarsky inequality for Sugeno and Choquet integrals

被引:13
|
作者
Agahi, Hamzeh [1 ]
Mesiar, Radko [2 ,3 ]
Ouyang, Yao [4 ]
Pap, Endre [5 ,6 ]
Strboja, Mirjana [7 ]
机构
[1] Babol Univ Technol, Fac Basic Sci, Dept Math, Babol Sar, Iran
[2] Slovak Univ Technol Bratislava, Dept Math & Descript Geometry, Fac Civil Engn, SK-81368 Bratislava, Slovakia
[3] UTIA AV CR Prague, Prague 18208, Czech Republic
[4] Huzhou Teachers Coll, Fac Sci, Huzhou 313000, Zhejiang, Peoples R China
[5] Singidunum Univ, Belgrade 11000, Serbia
[6] Obuda Univ, H-1034 Budapest, Hungary
[7] Univ Novi Sad, Fac Sci, Novi Sad 21000, Serbia
关键词
Fuzzy measure; Sugeno integral; Choquet integral; Stolarsky's inequality;
D O I
10.1016/j.ins.2013.12.058
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
Recently Flores-Franulic, Roman-Flores and Chalco-Cano proved the Stolarsky type inequality for Sugeno integral with respect to the Lebesgue measure lambda. The present paper is devoted to generalize this result by relaxing some of its requirements. Moreover, Stolarsky inequality for Choquet integral is added, too. (C) 2014 Elsevier Inc. All rights reserved.
引用
收藏
页码:134 / 139
页数:6
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