Fuzzy Semi- G – Regular And Fuzzy Semi – G – Normal Spaces
Keywords:
fuzzy sets, fuzzy point, fuzzy topological spaces(X ̃, Ť ), fuzzy generalized closed ( f s g - closed), fuzzy semi -regular, fuzzy semi normal, fuzzy semi g-regular, fuzzy semi g – normal spacesAbstract
Objective: The aim of this paper is to introduce and study fuzzy sets and fuzzy point or the properties fuzzy sets and study two new classes of spaces, called Fuzzy semi-g-regular and fuzzy semi-g-normal spaces. Method: Fuzzy Semi-g-regularity and fuzzy semi-g-normality are separation properties obtained by utilizing fuzzy semi-generalized closed sets. Results: Recall that a fuzzy topological space (X ̃, Ť) is called fuzzy semi-generalized closed, briefly f s g-closed, if the fuzzy semi-closure of Ȃ ≤ X ̃ is a fuzzy of U ̃ ≤ X ̃ whenever A ̃ is a fuzzy set of U ̃ and U ̃ is fuzzy semi-open in (X ̃, T ̃). Novelty: two new classes of spaces, called Fuzzy semi-g-regular and fuzzy semi-g-normal spaces.
References
D. L . Foster , (1979) , " Fuzzy topological spaces " , J . math . Anal . Appl , 67(2) , 549 – 564 .
C. L. Change , Fuzzy topological spaces, J. Math. Anal. Appl., 24 ( 1968), 182-190 .
C . L. Chang : Fuzzy Topological spaces . Journal of Mathematical Analysis and Applications 24(1968) , 182-190 .
Zadeh L.A : Fuzzy set . Information and Control 8 ( 1965) , 3,338-353
C. Dorsett, Semi-regular spaces, Soochow J. Math. 8 (1982), 45–53.
M. SARKAR, On fuzzy topological spaces, J. Math. Anal. Appl. 79 (2) (1981)
C. Dorsett, Semi-normal spaces, Kyungpook Math. J. 25 (1985), 173–180.
N. Palaniappan and K.C. Rao, Regular generalized closed sets, Kyungpook Math. J.,
N. Levine, Semi-open sets and semi-continuity in topological spaces, Amer. Math. Monthly 70 (1963), 36-41.
N. Levine, Generalized closed sets in topology, Rend. Circlo. Mat. Palermo 19(2) (1970), 89-96.
Balasubramaniam , G,K,, Bemetika 28(3), 239-244(1992).
N. Palaniappan and K.C. Rao, Regular generalized closed sets, Kyungpook Math. J.,
M. Caldas, Semi T1/2-spaces, Pro Math. 8 (1994), 115–121.
S. G. Crossley and S. K. Hildebrand, Semi-closure, Texas J. Sci. 22 (1971), 99–112. 33(2)(1993),211-219.
P. Bhattacharyya and B. K. Lahiri, Semi-generalized closed sets in topology, Indian J. of Math. 29(3) (1987), 375–382.
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