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Neutrosophic Soft $\Gamma$-Semiring and Its Ideals

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  • Debabrata Mandal

    (Department of Mathematics, Raja Peary Mohan College, Uttarpara, India)

Abstract

As a generalization of fuzzy sets, soft set and neutrosophic sets are applied to many branches of mathematics to overcome the complexities arising from uncertain data. Combining these notions, in this article, the author initiates the study of $\Gamma$-semirings, an extension of semirings, and its ideals by neutrosophic soft sets. After defining some necessary definitions, they investigate neutrosophic soft $\Gamma$-semiring, neutrosophic soft ideals, idealistic neutrosophic soft $\Gamma$-semiring and obtain some of its characterizations.

Suggested Citation

  • Debabrata Mandal, 2018. "Neutrosophic Soft $\Gamma$-Semiring and Its Ideals," International Journal of Fuzzy System Applications (IJFSA), IGI Global, vol. 7(2), pages 103-113, April.
    • Handle: RePEc:igg:jfsa00:v:7:y:2018:i:2:p:103-113
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