Intuitionistic fuzzy-valued Choquet integral and its application in multicriteria decision making

被引:79
作者
Wu, Jianzhang [1 ]
Chen, Fang [2 ]
Nie, Cuiping [3 ]
Zhang, Qiang [4 ]
机构
[1] Shijiazhuang Univ Econ, Sch Management Sci & Engn, Shijiazhuang 050031, Peoples R China
[2] Shijiazhuang Univ Econ, Coll Resources, Shijiazhuang 050031, Peoples R China
[3] Shijiazhuang Coll, Dept Math & Informat Sci, Shijiazhuang 050035, Peoples R China
[4] Beijing Inst Technol, Sch Management & Econ, Beijing 100081, Peoples R China
基金
中国国家自然科学基金;
关键词
Intuitionistic fuzzy-valued Choquet integral; Order relation; Operation-invariant total order; Aggregation function; Fuzzy measure; Multicriteria decision making; SOFTWARE-DEVELOPMENT RISK; AXIOMATIC APPROACH; AGGREGATION; RESPECT; TOOL;
D O I
10.1016/j.ins.2012.07.056
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
Our purpose in this paper is to show the integration properties of the intuitionistic fuzzy-valued Choquet integrals, by which improper applications of this type of Choquet integral in the multicriteria decision making can be avoided. We first propose some important operational properties of intuitionistic fuzzy values (IFVs) and give a short review of the methods of comparing IFVs in the framework of the multicriteria decision making. Then we give a detailed discussion on the aggregation properties of the intuitionistic fuzzy-valued Choquet integral (IFCI) and the intuitionistic fuzzy-valued conjugate Choquet integral (IFCCI). The difference in aggregation characteristics between the IFCI and the IFCCI in multicriteria decision making are also be investigated. Finally, we present an application of the IFCI and IFCCI-based multicriteria decision making method to assess the software development risks. (C) 2012 Elsevier Inc. All rights reserved.
引用
收藏
页码:509 / 527
页数:19
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