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Open AccessArticle

Asymmetric Equivalences in Fuzzy Logic

by 1, 2, 3 and 3,*
1
School of Mechanical and Electrical Engineering, Guizhou Normal University, Guiyang 550025, China
2
School of Electronics and Communication Engineering, Yulin Normal University, Yulin 537000, China
3
School of Information Science and Engineering, Xiamen University, Xiamen 361005, China
*
Author to whom correspondence should be addressed.
Symmetry 2017, 9(10), 224; https://doi.org/10.3390/sym9100224
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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