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N-fuzzy spaces, introduced by the authors, are further investigated. Various fuzzy topological motions such as fuzzy local compactness, functions with closed fuzzy graph, fuzzy subcontinuity, inverse fuzzy subcontinuity, etc., are studied in the light of N (I). These notions are found to be more coherent in N (I) than in the Chang's category.
The notions of subcontinuity and inverse subcontinuity are extended to the fuzzy setting. Adopting fuzzy net-theoretic approach, various properties of fuzzy subcontinuous and inversely fuzzy subcontinuous mappings are studied. A category of fuzzy topological spaces is constructed. Canonical example is constructed by using fuzzy translation of fuzzy numbers introduced by Rodabaugh to show that fuzzy...
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