Smarandache-Alpha Fuzzy Normal Subsemigroups in Smarandache-Alpha Fuzzy Semigroups
Proceedings of the National Academy of Sciences, India Section A: Physical Sciences - Tập 90 - Trang 777-781 - 2019
Tóm tắt
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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