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RESEARCH PRODUCT

Soft ditopological spaces

Alexander SostakSaziye YukselTugba Han Dizman

subject

Pure mathematicsGeneralizationGeneral MathematicsFuzzy set010103 numerical & computational mathematics02 engineering and technologySpace (mathematics)01 natural sciencesFuzzy topologyGeneral Mathematics (math.GM)FOS: Mathematics0202 electrical engineering electronic engineering information engineering020201 artificial intelligence & image processing0101 mathematicsMathematics - General MathematicsTopology (chemistry)MathematicsSoft set

description

We introduce the concept of a soft ditopological space as the "soft Generalization" of the concept of a ditopological space as it is defined in the papers by L.M. Brown and co-authors, see e.g. L. M. Brown, R. Ert?rk, ?. Dost, Ditopological texture spaces and fuzzy topology, I. Basic Concepts, Fuzzy Sets and Systems 147 (2) (2004), 171-199. Actually a soft ditopological space is a soft set with two independent structures on it - a soft topology and a soft co-topology. The first one is used to describe openness-type properties of a space while the second one deals with its closedness-type properties. We study basic properties of such spaces and accordingly defined continuous mappings between such spaces.

yearjournalcountryeditionlanguage
2015-11-11Filomat
https://doi.org/10.2298/fil1601209d