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.

Saved in:
Bibliographic Details
Published in:Symmetry (Basel) 2017-10, Vol.9 (10), p.224
Main Authors: Hu, Bo, Bi, Lvqing, Li, Sizhao, Dai, Songsong
Format: Article
Language:English
Subjects:
asymmetric equivalence
fuzzy implication
fuzzy logic
quasi-metric
t-norm
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:2073-8994
2073-8994
DOI:10.3390/sym9100224