Dual Hesitant Fuzzy Probability

被引:21
作者
Chen, Jianjian [1 ]
Huang, Xianjiu [1 ]
机构
[1] Nanchang Univ, Dept Math, Nanchang 330031, Jiangxi, Peoples R China
来源
SYMMETRY-BASEL | 2017年 / 9卷 / 04期
基金
中国国家自然科学基金;
关键词
dual hesitant fuzzy numbers; dual hesitant fuzzy probability; properties; dual hesitant fuzzy conditional probability; AGGREGATION; SETS;
D O I
10.3390/sym9040052
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
Intuitionistic fuzzy probabilities are an extension of the concept of probabilities with application in several practical problem solving tasks. The former are probabilities represented through intuitionistic fuzzy numbers, to indicate the uncertainty of the membership and nonmembership degrees in the value assigned to probabilities. Moreover, a dual hesitant fuzzy set (DHFS) is an extension of an intuitionistic fuzzy set, and its membership degrees and nonmembership degrees are represented by two sets of possible values; this new theory of fuzzy sets is known today as dual hesitant fuzzy set theory. This work will extend the notion of dual hesitant fuzzy probabilities by representing probabilities through the dual hesitant fuzzy numbers, in the sense of Zhu et al., instead of intuitionistic fuzzy numbers. We also give the concept of dual hesitant fuzzy probability, based on which we provide some main results including the properties of dual hesitant fuzzy probability, dual hesitant fuzzy conditional probability, and dual hesitant fuzzy total probability.
引用
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页数:11
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