6533b7d4fe1ef96bd126297a

RESEARCH PRODUCT

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

Alexander P. SostakTomasz Kubiak

subject

Pure mathematicsFunctorHomotopy categoryDiagram (category theory)Mathematics::General Mathematicslcsh:Mathematicslcsh:QA299.6-433lcsh:Analysislcsh:QA1-939GL-monoid(LM)-fuzzy topologyPower-set operators(LM)-interior operatorMathematics::Category TheoryCategory of topological spacesBiproductUniversal propertyGeometry and TopologyM-valued L-topologyCategory of setsL-fuzzy category(LM)-neighborhood systemMathematicsInitial and terminal objects

description

[EN] 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.

yearjournalcountryeditionlanguage
2004-10-01Applied General Topology
10.4995/agt.2004.1965http://polipapers.upv.es/index.php/AGT/article/view/1965