A Ranking Method of Hexagonal Fuzzy Numbers Based on Their Possibilistic Mean Values

被引：0
作者：
Leela-apiradee, Worrawate [1 ]
Thipwiwatpotjana, Phantipa [2 ]
机构：
[1] Thammasat Univ, Fac Sci & Technol, Dept Math & Stat, Pathum Thani 12121, Thailand
[2] Chulalongkorn Univ, Fac Sci, Dept Math & Comp Sci, Bangkok 10330, Thailand
来源：
FUZZY TECHNIQUES: THEORY AND APPLICATIONS | 2019年 / 1000卷
关键词：
Hexagonal fuzzy number; Possibilistic mean value; Ranking; VARIANCE;
D O I：
10.1007/978-3-030-21920-8_29
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
A hexagonal fuzzy number (HFN) with its membership function as a nonlinear function, which is a generalization of triangular fuzzy numbers, trapezoidal fuzzy numbers, linear pentagonal fuzzy numbers and linear hexagonal fuzzy numbers, is defined in this paper. Cardinality of HFN is applied to achieve an algorithm for classifying types of HFNs. In addition, we present a ranking method for those fuzzy numbers based on their possibilistic mean values. Therefore, an explicit formula of the possibilistic mean value of HFN is proposed.
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收藏
页码：318 / 329
页数：12
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