The balancing Choquet integral

被引：16

作者：

Mesiarova-Zemankova, A. ^{[1
,2
]}

Mesiar, R. ^{[3
,4
]}

Ahmad, K. ^{[2
]}

机构：

[1] Math Inst SAS, Bratislava, Slovakia

[2] Trinity Coll Dublin, Dept Comp Sci, Dublin, Ireland

[3] Slovak Univ Technol Bratislava, Bratislava, Slovakia

[4] Univ Ostrava, Inst Res & Applicat Fuzzy Modelling, Ostrava, Czech Republic

来源：

FUZZY SETS AND SYSTEMS | 2010年 / 161卷 / 17期

关键词：

Choquet integral; Symmetric Choquet integral; Asymmetric Choquet integral; Fuzzy measure; FUZZY; BIPOLAR;

D O I：

10.1016/j.fss.2010.02.004

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In this paper a new extension of Choquet integral to real inputs is introduced. While the symmetric and the asymmetric Choquet integrals aggregate positive and negative inputs separately, the balancing Choquet integral merges both positive and negative inputs and thus allows the compensation effect for oppositely oriented inputs with the same magnitude. (C) 2010 Elsevier B.V. All rights reserved.

引用

页码：2243 / 2255

页数：13

共 31 条

[1]

[Anonymous], 1997, The Ordered Weighted Averaging Operation: Theory, Methodology and Applications

[2]

[Anonymous], 1992, Fuzzy measure theory

[3]

[Anonymous], EUROFUSE WORKSH INF

[4] Qualitative heuristics for balancing the pros and cons [J].

Bonnefon, Jean-Francois ;

Dubois, Didier ;

Fargier, Helene ;

Leblois, Sylvie .

THEORY AND DECISION, 2008, 65 (01) :71-95

[5]

Calvo T, 2002, STUD FUZZ SOFT COMP, V97, P3

[6]

Choquet G., 1954, Ann. Institute. Fourier (Grenoble), V5, P131, DOI DOI 10.5802/AIF.53

[7] Van Melle's combining function in MYCIN is a representable uninorm: An alternative proof [J].

De Baets, B ;

Fodor, J .

FUZZY SETS AND SYSTEMS, 1999, 104 (01) :133-136

[8]

Denneberg D., 1994, NONADDITIVE MEASURE

[9] On the qualitative comparison of decisions having positive and negative features [J].

Dubois, Didier ;

Fargier, Helene ;

Bonnefon, Jean-Francois .

JOURNAL OF ARTIFICIAL INTELLIGENCE RESEARCH, 2008, 32 :385-417

[10] Structure of uninorms [J].

Fodor, JC ;

Yager, RR ;

Rybalov, A .

INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS, 1997, 5 (04) :411-427

← 1 2 3 4 →