Open AccessMappings in Fuzzy Hausdorff Spaces in Quasi-Coincidence Sense
Author(s) -
Saikh Shahjahan Miah,
Ruhul Amin
Publication year - 2017
Publication title -
journal of bangladesh academy of sciences
Language(s) - English
Resource type - Journals
eISSN - 2224-7270
pISSN - 0378-8121
DOI - 10.3329/jbas.v41i1.33503
Subject(s) - coincidence , hausdorff space , extension (predicate logic) , mathematics , property (philosophy) , pure mathematics , fuzzy logic , topological space , algebra over a field , discrete mathematics , topology (electrical circuits) , computer science , artificial intelligence , epistemology , combinatorics , medicine , philosophy , alternative medicine , pathology , programming language
In this paper, we introduce two notions of T2 property in fuzzy topological spaces by using quasi-coincidence sense and we establish relationship among our and other such notions. We also show that all these notions satisfy good extension property. Also hereditary, productive and projective properties are satisfied by these notions. We observe that all these concepts are preserved under one-one, onto, fuzzy open and fuzzy continuous mappings. Finally, we discuss initial and final fuzzy topologies on our second notion.Journal of Bangladesh Academy of Sciences, Vol. 41, No. 1, 47-56, 2017