Preserving fuzzy sg-closed sets Conservando conjuntos Fuzzy sg-cerrados

Miguel Caldas Cueva, Ratnesh Kumar Saraf

Resumen


In this paper we consider new weak and stronger forms of fuzzy irresolute and fuzzy semi-closure via the concept Fsgclosed sets which we call Fap-irresolute maps, Fap-semi-closed maps and contra-fuzzy irresolute and we use it to obtain several results in the literature concerning the preservation of fuzzy sgclosed sets and to obtain also a characterization of fuzzy semiT1/2 spaces.


Palabras clave


Fuzzy topological spaces ; Fsgclosed sets ; Fuzzy semi-open sets ; Fuzzy semi-closed maps ; Fuzzy irresolute maps.

Texto completo:

PDF

Referencias


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

M. Caldas, Weak and strong forms of irresolute maps, Internat.J. Math. & Math. Sci., 23, pp. 253-259 (2000).

H. Maki, T. Fukutake, M. Kojima and H. Harada, Generalized closed sets in fuzzy topological space I, Meetings on Topological spaces Theory and its Applications, pp. 23-26, (1998).

R. K. Saraf, M.Caldas and M. Khanna, Fuzzy sg-closed maps. Tripury Math. Soc. (to appear).

S. S. Thakur and Malviya, Fuzzy gc-irresolute mappings, Proc. Math.Soc.BHU.II, pp. 184-186, (1995).

S. S. Thakur and R. K. Saraf, Fuzzy pre α-open mappings, Acta Ciencia Indica 21, pp. 507-509, (1995).

S. S. Thakur and R.K.Saraf, Fuzzy pre-semi-closed mappings (submitted).

T. H. Yalvac, Fuzzy sets and functions in fuzzy topology, J. Math. Anal.Appl. 126, pp. 409-423, (1987).

T. H. Yalvac, Semi-interior and semi-closure of a fuzzy set, J. Math. Anal. Appl. 132, pp. 356-364, (1988).




DOI: http://dx.doi.org/10.4067/S0716-09172001000200001

Enlaces refback

  • No hay ningún enlace refback.