Authors:
MD. Hannan Miah,Ruhul Amin,DOI NO:
https://doi.org/10.26782/jmcms.2020.11.00001Keywords:
Fuzzy set,Supra topology,Supra fuzzy bitopological space,,Good extension,Abstract
Four concepts of supra fuzzy pairwise ππ bitopological spaces are introduced and studied in this paper. We also establish some relationships among them and study some other properties of these spaces.Refference:
I. Abd EL-Monsef, M.E. and A. E. Ramadan. 1987. On fuzzy supra topological spaces. Indian J. Pure and Appl. Math. 18(4), 322-329
II. Abu Sufiya, A.S., A. A. Fora and M.W. Warner. 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, 165-167, 1987.
IV. Ali, D. M. Some remarks on Ξ±βT0, Ξ±βT1,Ξ±βT2 fuzzy topological spaces. The Journal of fuzzy Mathematics, Los Angeles, Vol. 1, No. 2, 311-321, 1993.
V. Amin, R.M., Ali, D. M., Hossain, M. S. On T0 fuzzy bitopological spaces. Journal of Bangladesh Academy of Sciences, Vol. 38, No. 2, 209-217, 2014.
VI. Azad, K. K. 1981. On Fuzzy semi-continuity, Fuzzy almost continuity an fuzzy weakly continuity. J. Math. Anal. Appl. 82(1): 14-32.
VII. Chang, C. L. 1968. Fuzzy topological spaces . J. Math. Anal. Appl. 24: 182- 192.
VIII. Hossain, M. S. and Ali, D. M. On T0 fuzzy topological spaces, J. Math and Math. Sci. Vol. 24, 95-102, 2009.
IX. Hossain, M. S. and Ali, D. M. On T1 fuzzy topological spaces, Ganit.J. Math and Math. Sci. Vol. 24, 99-106, 2004.
X. Kandil, A. and M. EL-Shafee, 1991. Separation axioms for fuzzy bitopological spaces. J. Ins. Math. Comput. Sci. 4(3): 373-383.
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MD. Hannan Miah et al
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XI. Kandil, A., A.A. Nouh and S. A. El-Sheikh. 1999. Strong and ultra separation axioms on fuzzy bitopological spaces. Fuzzy Sets and Systems. 105: 459-467.
XII. Lowen, R. 1976. Fuzzy topological spaces and fuzzy compactness. J. Math. Anal. Appl. 56: 621-633.
XIII. Mashour, A. S. ,Allam, A.A., Mahmoud, F. S. and Khedr, F. H. 1983: On supra topological spaces, Indian J. Pure and Appl. Math. 14(4), 502-510
XIV. Mukherjee, A. Completely induced bifuzzy topological spaces, Indian J. pure App. Math,. 33(6)(2002), 911-916.
XV. Nouh, A. A. on separation axioms in fuzzy bitopological spaces, Fuzzy sets and systems, 80 (1996), 225-236.
XVI. Srivastava, A. K. and Ali, D. M. A comparison of some FT2 concepts, Fuzzy sets and systems 23, 289-294, 1987.
XVII. Wong, C. K. Fuzzy points and local properties of Fuzzy topology; J. Math. Anal. Appl. 46:316-328,1974.
XVIII. Wong , C.K . Fuzzy topology: Product and quotient theorem, J. Math. Anal., 45(1974), 512-521.
XIX. Zadeh, L. A. 1965. Fuzzy sets. Information and Control 8: 338-353.