Some Properties of S-α Anti Fuzzy Semigroups

R. Gowri; T. Rajeswari

doi:https://doi.org/10.14445/22315373/IJMTT-V35P504

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 35 | Number 1 | Year 2016 | Article Id. IJMTT-V35P504 | DOI : https://doi.org/10.14445/22315373/IJMTT-V35P504

Some Properties of S-α Anti Fuzzy Semigroups

R. Gowri, T. Rajeswari

Abstract

The notion of S-α anti conjugate fuzzy semigroups is introduced and order of an S-α anti fuzzy semigroup is defined. Quotient of S-α anti fuzzy cosets of an S-α anti fuzzy normal subsemigroup is defined and some of its properties are proved. It is also studied about the image and inverse image of S-α anti fuzzy semigroup under S-semigroup anti homomorphism.

Keywords

S-Semigroup, Anti fuzzy group, S-anti fuzzy group, α-anti fuzzy set, α-anti fuzzy group, S-α anti fuzzy semigroup, S-α anti fuzzy normal subsemigroup.

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Citation :

R. Gowri, T. Rajeswari, "Some Properties of S-α Anti Fuzzy Semigroups," International Journal of Mathematics Trends and Technology (IJMTT), vol. 35, no. 1, pp. 24-31, 2016. Crossref, https://doi.org/10.14445/22315373/IJMTT-V35P504