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Open AccessArticle

Asymmetric Equivalences in Fuzzy Logic

by 1, 2, 3 and 3,*
School of Mechanical and Electrical Engineering, Guizhou Normal University, Guiyang 550025, China
School of Electronics and Communication Engineering, Yulin Normal University, Yulin 537000, China
School of Information Science and Engineering, Xiamen University, Xiamen 361005, China
Author to whom correspondence should be addressed.
Symmetry 2017, 9(10), 224;
Received: 25 September 2017 / Revised: 8 October 2017 / Accepted: 9 October 2017 / Published: 13 October 2017
(This article belongs to the Special Issue Symmetry in Fuzzy Sets and Systems)
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. View Full-Text
Keywords: fuzzy logic; t-norm; fuzzy implication; asymmetric equivalence; quasi-metric fuzzy logic; t-norm; fuzzy implication; asymmetric equivalence; quasi-metric
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MDPI and ACS Style

Hu, B.; Bi, L.; Li, S.; Dai, S. Asymmetric Equivalences in Fuzzy Logic. Symmetry 2017, 9, 224.

AMA Style

Hu B, Bi L, Li S, Dai S. Asymmetric Equivalences in Fuzzy Logic. Symmetry. 2017; 9(10):224.

Chicago/Turabian Style

Hu, Bo; Bi, Lvqing; Li, Sizhao; Dai, Songsong. 2017. "Asymmetric Equivalences in Fuzzy Logic" Symmetry 9, no. 10: 224.

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