$ S$-Cluster Sets in Fuzzy Topological Spaces

A. A. Nouh, M. E. El-Shafei

Abstract


In this paper the concept of $ S$-cluster fuzzy sets, of fuzzy functions and fuzzy multifunctions between fuzzy topological spaces is introduced. As an application, characterizations of fuzzy Hausdorff and $ SQ_\alpha$-closed fuzzy topological spaces are achieved via such cluster fuzzy sets.

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DOI: http://dx.doi.org/10.5556/j.tkjm.33.2002.233-240

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