Asymmetric Equivalences in Fuzzy Logic

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.

Bibliographic Details
Main Authors: Bo Hu, Lvqing Bi, Sizhao Li, Songsong Dai
Format: Article
Language:English
Published: MDPI AG 2017-10-01
Series:Symmetry
Subjects:
Online Access:https://www.mdpi.com/2073-8994/9/10/224