An intuitionistic fuzzy three-way decision method based on intuitionistic fuzzy similarity degrees

被引：0
|
作者：
Liu J. [1 ]
Zhou X. [1 ,2 ]
Li H. [1 ,2 ]
Huang B. [3 ]
Gu P. [1 ]
机构：
[1] School of Management and Engineering, Nanjing University, Nanjing
[2] Research Center for Novel Technology of Intelligent Equipment, Nanjing University, Nanjing
[3] School of Information Engineering, Nanjing Audit University, Nanjing
来源：
Xitong Gongcheng Lilun yu Shijian/System Engineering Theory and Practice | 2019年 / 39卷 / 06期
基金：
中国国家自然科学基金;
关键词：
Bayesian theory; Intuitionistic fuzzy decision systems; Intuitionistic fuzzy similarity degrees; Three-way decisions;
D O I：
10.12011/1000-6788-2017-1800-15
中图分类号：
学科分类号：
摘要：
With respect to these problems with unconsideration of practical semantics of membership and non-membership degrees and even "counterintuitive results" in some cases. In this paper, we propose a novel intuitionistic fuzzy similarity degree and then introduce it to intuitionistic fuzzy decision systems, in which the (α, β)-level cut sets under intuitionistic fuzzy similarity degrees are defined and the associated properties are given. The (α,β)-lower and upper approximation of the objective set and its three regions:positive region, negative region and boundary region are induced by using the rough membership function served as the evaluation function. Considering different risk attitudes of decision makers, an intuitionistic fuzzy three-way decision model with multiple risk preference is constructed based on Bayesian theory and the corresponding decision rules are derived. Based on which we propose an intuitionistic fuzzy three-way decision method on the basis of intuitionistic fuzzy similarity degrees. Finally, a numerical example is given to show its feasibility and effectiveness. © 2019, Editorial Board of Journal of Systems Engineering Society of China. All right reserved.
引用
收藏
页码：1550 / 1564
页数：14
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