The Choquet integral with respect to a level dependent capacity

被引：68

作者：

Greco, Salvatore ^{[1
]}

Matarazzo, Benedetto ^{[2
]}

Giove, Silvio ^{[2
]}

机构：

[1] Univ Catania, Fac Econ, I-95129 Catania, Italy

[2] Univ Venice, Fac Econ, I-30123 Venice, Italy

来源：

FUZZY SETS AND SYSTEMS | 2011年 / 175卷 / 01期

关键词：

Aggregation functions; Choquet integral; Level dependent capacity; Sugeno integral; Cumulative Prospect Theory functional; Level dependent bicapacity; OWA; INTERACTING CRITERIA; BI-CAPACITIES; REPRESENTATION; UTILITY;

D O I：

10.1016/j.fss.2011.03.012

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

We present a generalization of Choquet integral in which the capacity depends also on the value of the aggregated variables. We show that as particular cases of our generalization of Choquet integral there are the Sugeno integral, the Sipos integral and the Cumulative Prospect Theory functional. We also show that many concepts such as Mobius transform, importance index, interaction index, k-order capacities and OWA operators, introduced in the research about Choquet integral, can be generalized in the considered context. (C) 2011 Elsevier B.V. All rights reserved.

引用

页码：1 / 35

页数：35

共 25 条

[1] Assessing non-additive utility for multicriteria decision aid [J].