SOME FEATURES OF PAIRWISE α-R₀ SPACES IN SUPRA FUZZY BITOPOLOGY

admin October 10, 2024

Authors:

Md. Hannan Miah,Ruhul Amin,

DOI NO:

https://doi.org/10.26782/jmcms.2024.10.00011

Keywords:

Fuzzy set,Fuzzy bitopological space,Good extension,Supra fuzzy bitopological space,

Abstract

This paper introduces and studies four concepts of  supra fuzzy bitopological spaces. We have exhibited that all these four concepts are ‘good extensions’ of the corresponding concepts  bitopological spaces and building relationships among them. It has been justified that all the definitions are hereditary, productive, and projective. Furthermore, additional properties of these concepts are studied.

Refference:

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

II. Abu Sufiya, A.S., Fora, A. A. and Warner, M. W. 1994. Fuzzy separation axioms and fuzzy continuity in fuzzy bitopological spaces. Fuzzy Sets and Systems 62: 367-373.

III. Ali, D. M., A note on T₀ and R₀ fuzzy topological spaces, Proc. Math. Soc. B. H. U. Vol. 3, (1987), 165-167.

IV. Azad, K.K., On fuzzy semi-continuity, fuzzy almost continuity, and fuzzy weakly continuity. J. Math. Anal. Appl. 82(1), (1981), 14-32.

V. Chang, C. L., 1968. Fuzzy topological spaces. J. Math. Anal. Appl. 24, (1968), 182-192.

VI. Hannan Miah and Ruhul Amin, Some features of pairwise α-T₀ spaces in supra fuzzy bitopology, Journal of Mechanics of Continua and Mathematical Sciences, 15(11), (2020), 1-11.

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

VIII. Kandil, A., El-Shafee, M., Separation axioms for fuzzy bitopological spaces. J. Ins. Math. Comput. Sci. 4(3), (1991), 373-383.

IX. Kandil, A., Nouh, A.A. and El-Sheikh, S. A., Strong and ultra-separation axioms on fuzzy bitopological spaces. Fuzzy Sets and Systems. 105, (1999), 459-467.

X. Lowen, R., Fuzzy topological spaces and fuzzy compactness. J. Math. Anal. Appl. 56, (1976), 621-633.

XI. Mashour, A. S., Allam, A. A., Mahmoud, F. S., Khedr, F.H., On supra topological spaces. Indian J. Pure and Appl. Math. 14(4), (1983), 502-510.

XII. Pao-Ming, P., Ying-Ming, L., Fuzzy topology. II. Product and quotient spaces, J. Math. Anal. App. 77, (1980), 20-37.

XIII. Mukherjee, A., Completely induced bifuzzy topological spaces, Indian J. Pure Appl. Math. 33, (2002), 911-916.

XIV. Nouh, A. A., On separation axioms in fuzzy bitopological spaces, Fuzzy Sets and Systems, 80, (1996), 225-236.

XV. Srivastava, A.K., Ali, D.M., A comparison of some FT₂ concepts, Fuzzy Sets and Systems 23, (1987), 289-294.

XVI. Wong, C. K., Fuzzy points and local properties of fuzzy topology; J. Math. Anal. Appl. 46, (1974), 316-328.

XVII. Wong, C. K., Fuzzy topology: product and quotient theorems. J. Math. Anal. Appl. 45(2), (1974), 512-521.

XVIII. Zadeh, L. A., Fuzzy sets. Information and Control 8, (1965), 338-353.

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