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Algebraic structures on fuzzy homotopy sets

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In this paper, firstly, the concepts of fuzzy compactness , fuzzy Hausdorff and fuzzy locally compact are defined. Using these concepts, fuzzy compact-open topology is given on fuzzy function spaces. Further, function spaces are defined and some properties of the function spaces are investigated. Secondly, fuzzy H − space and fuzzy H − cospace are defined.

Abstract

In this paper, firstly, the concepts of fuzzy compactness , fuzzy Hausdorff and fuzzy locally compact are defined. Using these concepts, fuzzy compact-open topology is given on fuzzy function spaces. Further, function spaces are defined and some properties of the function spaces are investigated. Secondly, fuzzy H − space and fuzzy H − cospace are defined.

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