Some New Smooth Fuzzy Relational Compositions

被引：0

作者：

Ashtiani, Arya Aghili ^{[1
]}

Menhaj, Mohammad Bagher ^{[1
]}

机构：

[1] Amirkabir Univ Technol, Elect Engn Dept, Tehran, Iran

来源：

JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS | 2011年 / 2卷 / 04期

关键词：

Differential/Smooth fuzzy relational composition; FRC; list of fuzzy t-norms and t-conorms; n-D-to-one mapping; fuzzy relational modeling;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Fuzzy relational compositions (FRCs) are the core of the fuzzy relational models (FRMs) which play a significant role in the fuzzy linguistic modeling. In this paper, we introduce some new fuzzy relational compositions. These FRCs are composed of some new t-norms and t-conorms and have some good properties such as differentiability. In this regard, the properties of the proposed t-norms and t-conorms are studied and compared with the other ones. Finally, as the most important applications of the FRCs suggest that the new FRCs are to be used in fuzzy relational modeling of some benchmark problems to justify their usage. We show by simulations that the proposed FRCs yield fuzzy relational dynamic systems with very good modeling capabilities.

引用

页码：717 / 722

页数：6

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