THE BIPOLAR CHOQUET INTEGRALS BASED ON TERNARY-ELEMENT SETS

被引:13
作者
Abbas, Jabbar [1 ]
机构
[1] Univ Technol Baghdad, Dept Appl Sci, Baghdad, Iraq
关键词
Capacities; Bi-capacities; Choquet integrals; Bipolar Choquet integrals; Fuzzy events;
D O I
10.1515/jaiscr-2016-0002
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
(1)This paper first introduces a new approach for studying bi-capacities and the bipolar Choquet integrals based on ternary-element sets. In the second half of the paper, we extend our approach to bi-capacities on fuzzy sets. Then, we propose a model of bipolar Choquet integral with respect to bi-capacities on fuzzy sets, and we give some basic properties of this model.
引用
收藏
页码:13 / 21
页数:9
相关论文
共 16 条
[1]  
Abbas J., 2010, ENG TECHNOLOGY J, V28
[2]  
Abbas J, 2014, 2014 IEEE SYMPOSIUM ON COMPUTATIONAL INTELLIGENCE IN MULTI-CRITERIA DECISION-MAKING (MCDM), P116, DOI 10.1109/MCDM.2014.7007196
[3]  
Bilbao J. M., 2000, 1 WORLD C GAM THEOR
[4]  
Choquet G., 1955, ANN I FOURIER, V5, P131, DOI [DOI 10.5802/AIF.53, 10.5802/aif.53]
[5]  
Davey B. A., 1990, INTRO LATTICES ORDER
[6]  
Denneberg D., 1994, THEORY DECISION LIB, V27
[7]   Bi-capacities - II: the Choquet integral [J].
Grabisch, M ;
Labreuche, C .
FUZZY SETS AND SYSTEMS, 2005, 151 (02) :237-259
[8]   Bi-capacities - I: definition, Mobius transform and interaction [J].
Grabisch, M ;
Labreuche, C .
FUZZY SETS AND SYSTEMS, 2005, 151 (02) :211-236
[9]   Bipolar and bivariate models in multicriteria decision analysis: Descriptive and constructive approaches [J].
Grabisch, Michel ;
Greco, Salvatore ;
Pirlot, Marc .
INTERNATIONAL JOURNAL OF INTELLIGENT SYSTEMS, 2008, 23 (09) :930-969
[10]   The Choquet integral with respect to a level dependent capacity [J].
Greco, Salvatore ;
Matarazzo, Benedetto ;
Giove, Silvio .
FUZZY SETS AND SYSTEMS, 2011, 175 (01) :1-35