Nonstationary Fuzzy Sets

被引：65

作者：

Garibaldi, Jonathan M. ^{[1
]}

Jaroszewski, Marcin ^{[1
]}

Musikasuwan, Salang ^{[1
]}

机构：

[1] Univ Nottingham, Sch Comp Sci & Informat Technol, Nottingham NG7 2RD, England

来源：

IEEE TRANSACTIONS ON FUZZY SYSTEMS | 2008年 / 16卷 / 04期

基金：

英国工程与自然科学研究理事会;

关键词：

Nonstationary fuzzy sets; perturbation functions; type-2 fuzzy sets;

D O I：

10.1109/TFUZZ.2008.917308

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

In this paper, the notion termed a "nonstationary fuzzy set" is introduced, and the concept of a perturbation function that is used for generating nonstationary fuzzy sets is presented. Definitions of the basic set operators (the union, the intersection, and the complement) for nonstationary fuzzy sets are given, together with proofs of selected properties of these operators. Two case studies were carried out in order to illustrate the use of nonstationary fuzzy sets in a nonstationary fuzzy inference, and to provide an initial insight into the relationships between nonstationary and interval type-2 fuzzy sets.

引用

页码：1072 / 1086

页数：15

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