CUBO A Mathematical Journal Vol.13, N^o03, (49-56). October 2011

 

On Strongly Fβp-irresolute Mappings

 

Ratnesh Kumar Saraf and Miguel Caldas

Department of Mathematics, Government Kamla Nehru, Girls College DAMOH (M.P.)-470661, India.

Departamento de Matemática Aplicada, Universidade Federal Fluminense Rua Maario Santos Braga s/nP,CEP: 24020-140, Niteroi-RJ,Brasil. email:gmamccs@vm.uff.br

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ABSTRACT

In this paper, we introduce a new class of mappings called strongly Fpp-irresolute mappings between fuzzy topological spaces. We obtain several characterizations of this class and study its properties and investigate the relationship with the known mappings.

Keywords: Fuzzy topological spaces, fuzzy p-open sets, fuzzy p-preirresolute maps, strongly fuzzy p-preirresolute maps.

Mathematics Subject Classification: 54C10, 54D10.

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RESUMEN

En este trabajo presentamos una nueva clase de funciones llamadas funciones fuertemente Fpp-irresolute entre espacios topológicos difusos. Obtenemos varias caracterizaciones de esta clase, estudiamos sus propiedades e investigamos la relación con funciones conocidas.

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References

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

[2] Balasubramanian G, Fuzzy p-open sets and fuzzy p-separation axioms, Kybernetica, 35 (1999), 215-223.

[3] Balasubramanian G, On fuzzy preseparation axioms, Bull. Cal. Math. Soc., 90 (1998), 427-434.

[4] Balasubramanian G, On fuzzy p -compact spaces and fuzzy p -extremely disconnected spaces, Kybernetica, 33 (1997), 271-278.

[5] Bin Shahna A.S., On fuzzy strong semicontinuity and fuzzy precontinuity, Fuzzy Sets and Systems, 44(1991), 303-308.

[6] Chang C.I., Fuzzy topological spaces, J. Math. Anal. Appl., 24 (1968), 182-190.

[7] El-Naschie M.S., On the uncertanity of cantorian geometry and the two-slit experiment, Chaos, Solitons and Fractals, 9(3)(1998), 517-529.

[8] El-Naschie M.S., On the certification of heterotic strings, M theory and e°° theory, Chaos, Solitons and Fractals, (2000), 2397-2408

[9] El-Naschie M.S., Wild topology, hyperbolic geometriy and fusion algebra of high energy particle physics, Chaos, Solitons and Fractals 13(2002), 1935-1945.

[10] El-Naschie M.S., Topics in the Mathematical physics of e°° theory, Chaos, Solitons and Fractals 30(3) (2006), 656-663.

[11] Hakeim K.M.A.E., Zeyada F.M and Allah M.A., Fuzzy completely weakly pre-irresolute functions, Bull. Cal. Math. Soc., 93(2) (2001), 121-128.

[12] Mukherjee M.N. and Ghosh B., Some stronger forms of fuzzy continuous mappings in fuzzy topological spaces, Fuzzy Sets and Systems, 36(1990), 375-387.

[13] Nanda S., Strongly compactness in fuzzy topological spaces, Fuzzy Sets and Systems, 42(1991), 259-268.

[14] Pu P.M. and Liu Y.M., Fuzzy topology I, neighbourhood structure of a fuzzy point and Moore Smith convergence, J. Math. Anal. Appl., 76(1989), 571-594.

[15] Roja E. and Balasubramanian G., On fuzzy p-T /2 spaces and its generalizations, Bull. Cal. Math. Soc., 94(6) (2002), 413-420.

[16] Saraf R.K. , Caldas M. and Navalagi G,, On strongly fuzzy a-preirresolute functions, Adv. in fuzzy Math. 3(2008), 19-25.

[17] Saraf R.K and Caldas M., On fuzzy p-preirresolute mappings, Kerala Math. Assoc. 4(2)(2007), 19-26.

[18] Saraf R.K, Caldas M. and Mishra S., Faa-irresolute mappings, Bull. Mal. Math. Sc. Soc., 24(2001), 193-199.

[19] Saraf R.K, Daleta A. and Mishra S., On Fap-continuous mappings, Delta J. Sci. 25(2001), 31-35.

[20] Singal M.K. and Prakash N., Fuzzy preopen sets and fuzzy pre-separation axioms, Fuzzy sets And Systems, 44(1991), 273-281.

[21] Singh S., Generalization of certain fuzzy topological concepts, Ph.D. Dissertation (1999), R.D. University Jabalpur (M.P. ).

[22] Yalvac T.H., Fuzzy sets and functions on fuzzy spaces, J. Math Anal. Appl., 126(1987), 409423.

[23] Zadeh L.A., Fuzzy sets, Inform and control, 8(1965), 338-353.

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Received: June 2009. Revised: August 2010.