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Neutrosophic Soft $\Gamma$-Semiring and Its Ideals

Neutrosophic Soft $\Gamma$-Semiring and Its Ideals

Debabrata Mandal
Copyright: © 2018 |Volume: 7 |Issue: 2 |Pages: 11
ISSN: 2156-177X|EISSN: 2156-1761|EISBN13: 9781522546269|DOI: 10.4018/IJFSA.2018040106
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MLA

Mandal, Debabrata. "Neutrosophic Soft $\Gamma$-Semiring and Its Ideals." IJFSA vol.7, no.2 2018: pp.103-113. http://doi.org/10.4018/IJFSA.2018040106

APA

Mandal, D. (2018). Neutrosophic Soft $\Gamma$-Semiring and Its Ideals. International Journal of Fuzzy System Applications (IJFSA), 7(2), 103-113. http://doi.org/10.4018/IJFSA.2018040106

Chicago

Mandal, Debabrata. "Neutrosophic Soft $\Gamma$-Semiring and Its Ideals," International Journal of Fuzzy System Applications (IJFSA) 7, no.2: 103-113. http://doi.org/10.4018/IJFSA.2018040106

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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.

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