Abstract
This paper introduces the notion of \(\gamma ^{*}\)-hyperconnectedness in fuzzy topological space to show that it is completely independent to fuzzy hyperconnectedness in the sense of Miguel Caldas. The paper also presents some equivalence theorems linking the concept with regular open sets in this context. Applying this new effective idea we move forward one more step towards the difference between topological spaces and fuzzy topological spaces. We contemplate that this study may be applicable in parallel topology related to parallel circuit of electronic network and consequently in fuzzy graph theory also.
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