B-closed and Fuzzy B-closed Spaces

Hamid Reza Moradi
1.282 348


The purpose of this paper is to establish and project the theorems which exhibit the characterization of b-closed spaces and obtain some of interesting properties of b-closed spaces. Moreover fuzzy b-closed spaces are introduced. Some characterization of their properties are obtained


Topological spaces, B-closed spaces, Fuzzy spaces.

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S. S. BENCHALLI, & J. KARNEL, On Fuzzy b-open sets in Fuzzy Topological Space, J.Computer and Mathematical Sciences, 1 (2010), 27-134.

R. Chugh, R. & S. Rathi, Weakly compatible maps in fuzzy metric space, Universitatea Din Bacau, Studii Si Cercetari Stiintifice Seria: Matematica Nr. 15 (2005), 31-38.

M. A. Erceg, Metric space in fuzzy set theory, J. Math.Anal. (1979).

J. H. Park, Strongly -b-continuous functions, Acta. Math. Hungar, 110(4) (2006), 347-359.

A. K. Katsaras, Fuzzy topological vector space I, Fuzzy sets and systems, 6 (1981), 85-95.

A. K. Katsaras, Fuzzy topological vector space II, Fuzzy sets and systems, 12 (1984), 143- 154.

A. K. Katsaras, Fuzzy vector spaces and fuzzy topological vector spaces, J. Math. Anal. Appl, 58(1977), 135-146.

S. V. Krishna, & Sarma. K. K. M. Fuzzy topological vector spaces topological generation and normability, Fuzzy sets and systems, 41 (1991). 89-99.

H. R. Moradi, & M. K. Anwary, (2014), Characterization of fuzzy normed spaces, The Proceedings of 14th Iranian Conference on Fuzzy Systems- Second Volume (English Papers), Sahand University of Technology, Tabriz, Iran, 15-18.

L. A. Zadeh, Fuzzy sets, Inform. Control, 8 (1965) pp, 338-353.

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