GRADATION OF CONTINUITY IN FUZZY TOPOLOGICAL SPACES
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Abstract:
In this paper we introduce a definition of gradation of continuity ingraded fuzzy topological spaces and study its various characteristic properties.The impact of the grade of continuity of mappings over the N-compactnessgrade is examined. Concept of gradation is also introduced in openness, closed-ness, homeomorphic properties of mappings and T2 separation axiom. Effectof the grades interrelated with N-compactness, closedness, T2 separation andhomeomorphism of mappings are studied.
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Journal title
volume 8 issue 2
pages 143- 159
publication date 2011-06-17
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