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.
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页数：9
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