New approach towards di erent ideals using bipolar valued  intuitionistic neutrosophic set of an ordered semigroup

M.Palanikumar; Nasreen Kausar; Tonguc Cagin

New approach towards di erent ideals using bipolar valued intuitionistic neutrosophic set of an ordered semigroup

Authors

M.Palanikumar Department of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Chennai-602105, India;
Nasreen Kausar Department of Mathematics, Faculty of Arts and Science, Balikesir University, 10145 Balikesir, Turkey;
Tonguc Cagin College of Business Administration, American University of the Middle East, Kuwait;

Keywords:

Left ideal, right ideal, ideal, bi-ideal

Abstract

This paper introduces the notion of bipolar valued intuitionistic neutrosophic subsemigroup
(BIntNS), bipolar valued intuitionistic neutrosophic left ideal (BIntNLI), bipolar valued intuitionistic neu
trosophic right ideal (BIntNRI), bipolar valued intuitionistic neutrosophic ideal (NI), and bipolar valued intu
itionistic 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 (BVLIBVRIBVBI) 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

DOI: 10.5281/zenodo.14961062

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Published

2025-05-01

Issue

Vol. 82 (2025): Neutrosophic Sets and Systems

Section

Article

License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Creative Commons Attribution (CC BY) license.

How to Cite

M.Palanikumar, Nasreen Kausar, & Tonguc Cagin. (2025). New approach towards di erent ideals using bipolar valued intuitionistic neutrosophic set of an ordered semigroup. Neutrosophic Sets and Systems, 82, 65-83. https://fs.unm.edu/nss8/index.php/111/article/view/5977