A fuzzification of the category of M-valued L-topological spaces

Tomasz Kubiak; Alexander P. Sostak

doi:10.4995/agt.2004.1965

Authors

Tomasz Kubiak Adam Mickiewicz University
Alexander P. Sostak University of Latvia

DOI:

https://doi.org/10.4995/agt.2004.1965

Keywords:

M-valued L-topology, (L, M)-fuzzy topology, L-fuzzy category, GL-monoid, Power-set operators, M)-interior operator, M)-neighborhood system

Abstract

A fuzzy category is a certain superstructure over an ordinary category in which ”potential” objects and ”potential” morphisms could be such to a certain degree. The aim of this paper is to introduce a fuzzy category FTOP(L,M) extending the category TOP(L,M) of M-valued L- topological spaces which in its turn is an extension of the category TOP(L) of L-fuzzy topological spaces in Kubiak-Sostak’s sense. Basic properties of the fuzzy category FTOP(L,M) and its objects are studied.

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Author Biographies

Tomasz Kubiak, Adam Mickiewicz University

Wydzia l Matematyki i Informatyki

Alexander P. Sostak, University of Latvia

Departmant of Mathematics

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