A new approach for ranking fuzzy numbers based on possibility theory

被引：35
作者：
Gu Qiupeng [1 ,2 ]
Xuan Zuxing [3 ]
机构：
[1] Beijing Inst Technol, Sch Management & Econ, Beijing 100081, Peoples R China
[2] Weifang Univ, Sch Math & Informat Sci, Weifang 261061, Peoples R China
[3] Beijing Union Univ, Dept Gen Educ, Beijing 100101, Peoples R China
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2017年 / 309卷
基金：
中国国家自然科学基金;
关键词：
Generalized fuzzy numbers; Ranking; Triangular fuzzy numbers; Trapezoidal fuzzy numbers; DECISION-MAKING; SUBSETS; AREA; SET;
D O I：
10.1016/j.cam.2016.05.017
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Most of the ranking methods discuss only triangular fuzzy numbers or trapezoidal fuzzy numbers. In this paper, we will introduce a new method of ranking generalized L - R fuzzy numbers based on possibility theory and the implication of possibilistic mean and possibilistic standard deviation. Normal fuzzy numbers are the exceptional cases. The calculation of the proposed method is simpler and easier. Some comparative examples are used to illustrate the advantages of the proposed method. (C) 2016 Elsevier B.V. All rights reserved.
引用
收藏
页码：674 / 682
页数：9
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