Finite Fuzzy Topologies on Boolean Algebras

Brahim Chaourar () and Moussa Benoumhani
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Brahim Chaourar: Department of Mathematics and Statistics, Faculty of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh 11623, Saudi Arabia
Moussa Benoumhani: Department of Mathematics and Statistics, Faculty of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh 11623, Saudi Arabia

Mathematics, 2025, vol. 13, issue 21, 1-8

Abstract: We consider finite B -fuzzy topologies, that is, collections of mappings from a finite set to the Boolean algebra B , satisfying analogous conditions of classical topologies. We establish a one-to-one correspondence between the class of B -fuzzy topologies and the corresponding class of classical ones. Then many consequences follow. For example, we deduce the number of B -fuzzy topologies of small size.

Keywords: fuzzy topology; number of fuzzy topologies; boolean algebra; combinatorics (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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