A generalization of the discrete Choquet and Sugeno integrals based on a fusion function

被引：26

作者：

Horanska, L'ubomira ^{[1
]}

Siposova, Alexandra ^{[2
]}

机构：

[1] Slovak Univ Technol Bratislava, Fac Chem & Food Technol, Inst Informat Engn Automat & Math, Radlinskeho 9, Bratislava 81237, Slovakia

[2] Slovak Univ Technol Bratislava, Fac Civil Engn, Dept Math & Descript Geometry, Radlinskeho 11, Bratislava 81005, Slovakia

来源：

INFORMATION SCIENCES | 2018年 / 451卷

关键词：

Choquet integral; Sugeno integral; Capacity; Multicriteria decision making; UNIVERSAL INTEGRALS;

D O I：

10.1016/j.ins.2018.03.059

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, we present an approach to generalization of the discrete Choquet and Sugeno integrals. For the Choquet integral we replace the product operator joining the values of a capacity m of criteria sets and values of a score vector by a fusion function F satisfying some constraints, similarly as was already done for another form of the discrete Choquet integral by Mesiar et al. in [15]. For the Sugeno integral we use an analogous method of generalization replacing the minimum operator by a fusion function. The properties of the obtained functionals C-F(m) and S-F(m) are studied and some examples for particular capacity m and particular fusion function F are given. (C) 2018 Elsevier Inc. All rights reserved.

引用

页码：83 / 99

页数：17