Abstract
The notion of S- $$\alpha $$ fuzzy cosets with representative $$x_{t}$$ and S- $$\alpha $$ fuzzy normal subsemigroups are introduced, and some equivalent conditions are given. It is also proved that the set of all S- $$\alpha $$ fuzzy cosets will form a semigroup under a suitable binary operation and its structure properties are determined. A necessary and sufficient condition for an S- $$\alpha $$ fuzzy semigroup to be S- $$\alpha $$ fuzzy normal is also proved.
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Schedule a callMore From: Proceedings of the National Academy of Sciences, India Section A: Physical Sciences
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