Approaches to multiple-criteria group decision making based on interval-valued intuitionistic fuzzy Choquet integral with respect to the generalized λ-Shapley index

被引：115
|
作者：
Meng, Fanyong [1 ]
Zhang, Qiang [2 ]
Cheng, Hao [1 ]
机构：
[1] Qingdao Technol Univ, Sch Management, Qingdao 266520, Peoples R China
[2] Beijing Inst Technol, Sch Management & Econ, Beijing 100081, Peoples R China
来源：
KNOWLEDGE-BASED SYSTEMS | 2013年 / 37卷
基金：
中国国家自然科学基金;
关键词：
Multi-criteria decision making; Interval-valued intuitionistic fuzzy set; Choquet integral; Generalized Shapley index; lambda-fuzzy measure; FAULT-TREE ANALYSIS; AXIOMATIC CHARACTERIZATIONS; PREFERENCE RELATIONS; SIMILARITY MEASURES; SETS; AGGREGATION; SELECTION; OPERATORS; MODELS;
D O I：
10.1016/j.knosys.2012.08.007
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
In this paper, two new aggregation operators called the arithmetical interval-valued intuitionistic fuzzy generalized lambda-Shapley Choquet (AIVIFGSC(g lambda)) operator and the geometric interval-valued intuitionistic fuzzy generalized A-Shapley Choquet (GIVIFGSC(g lambda)) operator are proposed. These operators not only globally consider the importance of combinations or their ordered positions, but also overall reflect the correlations among combinations or their ordered positions. Based on the operational laws on interval-valued intuitionistic fuzzy values, the specific expressions of the AIVIFGSC(g lambda) and GIVIFGSC(g lambda) operators are given, which are also interval-valued intuitionistic fuzzy values. Meantime, some desirable properties are studied. Furthermore, two new approaches to multi-criteria group decision making under interval-valued intuitionistic fuzzy environment are proposed. Finally, a numerical example is provided to illustrate the developed procedures. (C) 2012 Elsevier B.V. All rights reserved.
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页码：237 / 249
页数：13
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