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A fuzzy bitopological space X b =(X,T p ,T q ) is considered, where T p and T q are fuzzy topologies induced by fuzzy quasi pseudo norm p and its conjugate q. Introducing notion of quasi pseudo norm and its conjugate in fuzzy structure, fuzzy topologies are generated by such fuzzy norms and characterization of a pairwise Hausdorff fuzzy bitopological space is...
In this paper, we have established a necessary and sufficient condition for a family of fuzzy sets in a group to be the family of neighborhoods of the identity element of a fuzzy topological group. As an application, a mixed fuzzy topological group is constructed from two given fuzzy topological groups with the help of neighborhood systems.
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