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01-10-2012 | Original Paper

On mixed fuzzy topological spaces and countability

Authors: Binod Chandra Tripathy, Gautam Chandra Ray

Published in: Soft Computing | Issue 10/2012

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Abstract

In this paper, we introduce a new type of mixed fuzzy topological space. We define countability on mixed fuzzy topological spaces. We investigate its different quasi type properties.

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Ali T (2009) Fuzzy topological dynamical systems. J Math Res 1(2):199–206MATH

Arya SP, Singal N (2001a) Fuzzy subweakly continuous functions. Math Stud 70(1–4):231–240MathSciNetMATH

Arya SP, Singal N (2001b) Fuzzy subweakly α-continuous functions. Math Stud 70(1–4):241–246MathSciNetMATH

Buck RC (1952) Operator algebras and dual spaces. Proc Am Math Soc 3:681–687MathSciNetMATHCrossRef

Chang CL (1968) Fuzzy topological spaces. J Math Anal Appl 24:182–190MathSciNetMATHCrossRef

Conway JB (1967) The strict topology and compactness in the space of measure. Trans Am Math Soc 126:476–486MathSciNetCrossRef

Cooper JB (1971) The strict topology and spaces with mixed topologies. Proc Am Math Soc 30:583–592MATHCrossRef

Das NR, Baishya PC (1995) Mixed Fuzzy Topological Spaces. J Fuzzy Math 3(4):777–784MathSciNetMATH

Ganguly S, Singha D (1984) Mixed topology for a bi-topological spaces. Bull Cal Math Soc 76:304–314MATH

Ganster M, Georgiou DN, Jafari S, Mosokhoa S (2005) On some application of fuzzy points. Appl Gen Topol 6(2):119–133MathSciNetMATH

Ghanim MH, Kerre EE, Mashhour AS (1984) Separation axioms, subspaces and sums in fuzzy topology. J Math Anal Appl 102:189–202MathSciNetMATHCrossRef

Gupta M, Kamthan PK, Das NR (1983) Bi-locally convex spaces and Schauder decomposition. Ann Math Pure Appl XXXIII(iv):267–284MathSciNetCrossRef

Hussain T (1966) Introduction to topological groups. W.B. Saunders, Philadelphia

Katsaras AK, Liu DB (1977) Fuzzy vector spaces and fuzzy topological vector spaces. J Math Anal Appl 58:135–146MathSciNetMATHCrossRef

Orlicz W (1955) Linear operator in saks space. Studia Math 15:1–25MathSciNetMATH

Petricevic Z (1998) On s-closed and extremally disconnected fuzzy topological spaces. Matematички Bechик 50(1–2):37–45MathSciNetMATH

Srivastava R, Lal SN, Srivastava AK (1981) Fuzzy Hausdorff topological spaces. J Math Anal Appl 81:491–506MathSciNetCrossRef

Subramanian PK (1972) Two-norm spaces and decompositions of Banach spaces, I. Studia Math T XLIII:179–194

Tripathy BC, Baruah A (2010) Lacunary statistically convergent and lacunary strongly convergent generalized difference sequences of fuzzy real numbers. Kyungpook Math J 50(4):565–574MathSciNetMATHCrossRef

Tripathy BC, Borgogain S (2008) The sequence space m(M,ϕ, Δ _m ⁿ , p)^F. Math Modell Anal 13(4):577–586MATHCrossRef

Tripathy BC, Dutta AJ (2010) Bounded variation double sequence space of fuzzy real numbers. Comput Math Appl 59(2):1031–1037MathSciNetMATHCrossRef

Tripathy BC, Sarma B (2011a) Double sequence spaces of fuzzy numbers defined by Orlicz function. Acta Math Sci 31B(1):134–140MathSciNet

Tripathy BC, Sarma DJ (2011b) On b-locally open sets in bitopological spaces. Kyungpook Math J 51(4):429–433

Tripathy BC, Sarma DJ (2012) On pairwise b-locally open and pairwise b-locally closed functions in bitopological spaces. Tamkang J Math 43(4) (accepted)

Warren RH (1978) Neighbourhood bases and continuity in fuzzy topological spaces. Rocky Mt J Math 8:459–470MathSciNetMATHCrossRef

Wiweger A (1961) Linear spaces with mixed topology. Studia Math. 20:47–68MathSciNetMATH

Wong CK (1974a) Fuzzy topology: product and quotient theorems. J Math Anal Appl 45:512–521MathSciNetMATHCrossRef

Wong CK (1974b) Fuzzy points and local properties of fuzzy topology. J Math Anal Appl 46:512–521CrossRef

Title: On mixed fuzzy topological spaces and countability
Authors: Binod Chandra Tripathy
Gautam Chandra Ray
Publication date: 01-10-2012
Publisher: Springer-Verlag
Published in: Soft Computing / Issue 10/2012
Print ISSN: 1432-7643
Electronic ISSN: 1433-7479
DOI: https://doi.org/10.1007/s00500-012-0853-1

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