Multi-attribute decision making based on neutral averaging operators for intuitionistic fuzzy information

被引：66

作者：

He, Yingdong ^{[1
,2
]}

Chen, Huayou ^{[2
]}

He, Zhen ^{[1
]}

Zhou, Ligang ^{[2
]}

机构：

[1] Tianjin Univ, Coll Management & Econ, Tianjin 300072, Peoples R China

[2] Anhui Univ, Sch Math Sci, Hefei 230601, Anhui, Peoples R China

来源：

APPLIED SOFT COMPUTING | 2015年 / 27卷

基金：

中国国家自然科学基金;

关键词：

Multi-attribute decision making; Intuitionistic fuzzy sets; Neutrality operation; Scalar neutrality operation; Intuitionistic fuzzy weighted neutral operators; VAGUE SET-THEORY; AGGREGATION OPERATORS; T-NORMS; ARITHMETIC OPERATORS; PREFERENCE RELATIONS; REPRESENTATION; OPERATIONS; PROPERTY; WEIGHTS;

D O I：

10.1016/j.asoc.2014.10.039

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, we construct the probability sum (PS) function and the proportional distribution rules of membership function and non-membership function of intuitionistic fuzzy sets (IFSs), and give their corresponding geometric interpretations. Based on which, we present the neutrality operation and the scalar neutrality operation on intuitionistic fuzzy numbers (IFNs). We propose the intuitionistic fuzzy weighted neutral averaging (IFWNA) operator and the intuitionistic fuzzy ordered weighted neutral averaging (IFOWNA) operator. The properties of the IFWNA operator and the IFOWNA operator are investigated. The principal advantages of the proposed operators are that both the attitude of the decision makers and the interactions between different intuitionistic fuzzy numbers (IFNs) are considered. Furthermore, approaches to multi-criteria decision making based on the proposed IFWNA and IFOWNA operator are given. Finally, an example is illustrated to show the feasibility and validity of the new approaches to the application of decision making. (C) 2014 Elsevier B.V. All rights reserved.

引用

页码：64 / 76

页数：13

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