Countable Fuzzy Topological Space and Countable Fuzzy Topological Vector Space | Zendy

Apu Kumar Saha | Zendy; Debasish Bhattacharya | Zendy

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Countable Fuzzy Topological Space and Countable Fuzzy Topological Vector Space

Author(s) -

Apu Kumar Saha,

Debasish Bhattacharya

Publication year - 2015

Publication title -

journal of mathematical and fundamental sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.216

H-Index - 12

eISSN - 2337-5760

pISSN - 2338-5510

DOI - 10.5614/j.math.fund.sci.2015.47.2.4

Subject(s) - mathematics , topological vector space , countable set , topological space , urysohn and completely hausdorff spaces , topology (electrical circuits) , topological manifold , isolated point , homeomorphism (graph theory) , cosmic space , connected space , fuzzy subalgebra , fuzzy logic , fuzzy number , discrete mathematics , fuzzy set , pure mathematics , topological tensor product , combinatorics , computer science , artificial intelligence , hausdorff dimension , hausdorff measure , chemistry , biochemistry , functional analysis , gene

This paper deals with countable fuzzy topological spaces, a generalization of the notion of fuzzy topological spaces. A collection of fuzzy sets F on a universe X forms a countable fuzzy topology if in the definition of a fuzzy topology, the condition of arbitrary supremum is relaxed to countable supremum. In this generalized fuzzy structure, the continuity of fuzzy functions and some other related properties are studied. Also the class of countable fuzzy topological vector spaces as a generalization of the class of fuzzy topological vector spaces has been introduced and investigated

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