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Topological structures induced by L-fuzzifying approximation operators.
- Source :
-
Iranian Journal of Fuzzy Systems . Oct2021, Vol. 18 Issue 5, p141-154. 14p. - Publication Year :
- 2021
-
Abstract
- This paper further studies topological structures induced by L-fuzzifying approximation operators, where L denotes a completely distributive De Morgan algebra. Firstly, the Alexandrov topologies induced by L-fuzzy relations are investigated with respect to L-fuzzifying approximation operators. Especially, the relationships among those Alexandrov topologies are discussed. Secondly, pseudo-similarity sets of L-fuzzy relations are proposed based on the Alexandrov topologies induced by upper and lower L-fuzzifying approximation operators. Meanwhile, the properties of pseudosimilarity sets are discussed, where some examples are presented to show the differences between similarity set of fuzzy relations and pseudo-similarity set of L-fuzzy relations. [ABSTRACT FROM AUTHOR]
- Subjects :
- *FUZZY sets
*DISTRIBUTIVE lattices
*ALGEBRA
*SIMILARITY (Geometry)
*TOPOLOGY
Subjects
Details
- Language :
- English
- ISSN :
- 17350654
- Volume :
- 18
- Issue :
- 5
- Database :
- Academic Search Index
- Journal :
- Iranian Journal of Fuzzy Systems
- Publication Type :
- Academic Journal
- Accession number :
- 151692477