Set operations of fuzzy sets using gradual elements

被引：4

作者：

Wu, Hsien-Chung ^{[1
]}

机构：

[1] Natl Kaohsiung Normal Univ, Dept Math, Kaohsiung 80201, Taiwan

来源：

SOFT COMPUTING | 2020年 / 24卷 / 02期

关键词：

Decomposition theorem; Gradual elements; Gradual sets; Interval range; Normal fuzzy sets; NUMBERS;

D O I：

10.1007/s00500-019-04578-z

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

The conventional set operations of fuzzy sets are based on the membership functions using the max functions. In this paper, we shall consider the set operations of fuzzy sets based on the concepts of gradual sets and gradual elements. When the fuzzy sets can be formulated as consisting of gradual elements like the usual set consisting of usual elements, the intersection and union of fuzzy sets can be defined as the same way as the intersection and union of usual sets. In this case, the set operations of fuzzy sets will be similar to the set operations of crisp sets.

引用

页码：879 / 893

页数：15

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