New approach towards different ideals using bipolar valued intuitionistic neutrosophic set of an ordered semigroups

New approach towards different ideals using bipolar valued intuitionistic neutrosophic set of an ordered semigroups

This paper introduces the notion of bipolar valued intuitionistic neutrosophic subsemigroup (BIntNS), bipolar valued intuitionistic neutrosophic left ideal (BIntNLI), bipolar valued intuitionistic neutrosophic right ideal (BIntNRI), bipolar valued intuitionistic neutrosophic ideal (NI), and bipolar...

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Bibliographic Details
Main Authors: M.Palanikumar, Nasreen Kausar, Tonguc Cagin
Format: Article
Language:English
Published: University of New Mexico 2025-05-01
Series:Neutrosophic Sets and Systems
Subjects:
left ideal
right ideal
ideal
bi-ideal
Online Access:https://fs.unm.edu/NSS/5OrderedSemigroups.pdf
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Summary:This paper introduces the notion of bipolar valued intuitionistic neutrosophic subsemigroup (BIntNS), bipolar valued intuitionistic neutrosophic left ideal (BIntNLI), bipolar valued intuitionistic neutrosophic right ideal (BIntNRI), bipolar valued intuitionistic neutrosophic ideal (NI), and bipolar valued intuitionistic neutrosophic bi-ideal (BIntNBI) of an ordered semigroups, along with some of its properties. A new extension over ordered semigroups of the bipolar valued intuitionistic neutrosophic ideal. The lower level set is a subsemigroup (BV LI, BV RI, BV BI) of an ordered semigroup. Examples are provided to exemplify our results, however the contrary may not be true. Every BIntNS is a BIntNS of an ordered semigroup.
ISSN:2331-6055
2331-608X

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