SOME FEATURES OF α-R0 SPACES IN SUPRA FUZZY TOPOLOGY

Authors:

M. F. Hoque,R. C. Bhowmik,M. R. Kabir,D. M. Ali,

DOI NO:

https://doi.org/10.26782/jmcms.2012.07.00001

Keywords:

fuzzy set, ,topological spaces,, supra fuzzy topological spaces,

Abstract

This paper introduce and study four concepts of R0 supra fuzzy topological spaces. We have shown that all these four concepts are ‘good extension’ of the corresponding concepts of R0 topological spaces and established relations among them. It has been proved that all the definitions are hereditary, productive and projective. Further some other properties of these concepts are studied

Refference:

I. Abd EL –Monsef, M. E, and Ramadan, A. E.: On fuzzy supra topological spaces; Indian J. Pure and Appl.Math. 18 (4), 322-329, 1987.

II. Ali, D. M.: A note on T0 and R0 fuzzy topological spaces; Pro. Math. Soc. B. H. U. Vol. 3, 165-167, 1987.

III. Azad, K. K: On Fuzzy semi- continuity, Fuzzy almost continuity and Fuzzy weakly continuity; J. Math. Anal . Appl. 82(1), 14-32, 1981.

IV. Chang, C. L.: Fuzzy topological spaces; J. Math. Anal Appl. 24, 182-192, 1968.

V. Hossain, M. S. and Ali, D. M.: On R0 and R1 fuzzy topological spaces; R U Studies Part-B J Sc. 33, 51-63, 2005.

VI.Lowen, R.: Fuzzy topological spaces and fuzzy compactness; J. Math. Anal. Appl. 56, 621-633, 1976.

VII. Mashhour, A. S., Allam, A. A., Mahmoud, F. S. and Khedr, F. H.: On fuzzy supra topological spaces; Indian J. Pure and Appl. Math. 14 (4), 502-510, 1983.

VIII. Ming, P. P., Ming. L. Y.: Fuzzy topology II. Product and Quotient Spaces; J. Math. Anal. Appl. 77, 20-37, 1980.

IX.Wong, C. K: Fuzzy points and local properties of Fuzzy topology; J. Math. Anal . Appl. 46, 316-328, 1974.

X. Zadeh, L. A.: Fuzzy sets. Information and control, 8, 338-353, 1965.

M. F. Hoque, R. C. Bhowmik, M. R. Kabir , D. M. Ali View Download