On type-2 fuzzy relations and interval-valued type-2 fuzzy sets

被引：61
作者：
Hu, Bao Qing [1 ]
Wang, Chun Yong [1 ]
机构：
[1] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China
来源：
FUZZY SETS AND SYSTEMS | 2014年 / 236卷
关键词：
Extended supremum; Extended infimum; Fuzzy relations; Type-2 fuzzy relations; Interval-valued type-2 fuzzy sets; Interval-valued type-2 fuzzy relations; CONVEX NORMAL FUNCTIONS; TRUTH VALUES; TRIANGULAR NORMS; LOGIC SYSTEMS; OPERATIONS; FUZZISTICS; ALGORITHMS;
D O I：
10.1016/j.fss.2013.07.011
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
This paper introduces new operations on the algebra of fuzzy truth values, extended supremum and extended infimum, which are generalizations of the extended operations of maximum and minimum between fuzzy truth values for type-2 fuzzy sets, respectively. Using these new operations, the properties of type-2 fuzzy relations are discussed, especially the compositions of type-2 fuzzy relations. On this basis, this paper introduces interval-valued type-2 fuzzy sets and interval-valued type-2 fuzzy relations, and discusses their properties. (C) 2013 Elsevier B.V. All rights reserved.
引用
收藏
页码：1 / 32
页数：32
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