Asymmetric Equivalences in Fuzzy Logic

被引：3

作者：

Hu, Bo ^{[1
]}

Bi, Lvqing ^{[2
]}

Li, Sizhao ^{[3
]}

Dai, Songsong ^{[3
]}

机构：

[1] Guizhou Normal Univ, Sch Mech & Elect Engn, Guiyang 550025, Guizhou, Peoples R China

[2] Yulin Normal Univ, Sch Elect & Commun Engn, Yulin 537000, Peoples R China

[3] Xiamen Univ, Sch Informat Sci & Engn, Xiamen 361005, Peoples R China

来源：

SYMMETRY-BASEL | 2017年 / 9卷 / 10期

关键词：

fuzzy logic; t-norm; fuzzy implication; asymmetric equivalence; quasi-metric; ROBUSTNESS ANALYSIS; LATTICES;

D O I：

10.3390/sym9100224

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：

We introduce a new class of operations called asymmetric equivalences. Several properties of asymmetric equivalence operations have been investigated. Based on the asymmetric equivalence, quasi-metric spaces are constructed on [0, 1]. Finally, we discuss symmetrization of asymmetric equivalences.

引用

页数：9

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