New approach to bisemiring theory via the bipolar valued neutrosophic normal sets

Authors

  • M.Palanikumar Department of Mathematics, Saveetha School of Engineering, SIMATS, India;
  • G.Selvi2 Department of Mathematics, Saveetha School of Engineering, SIMATS, India;
  • Ganeshsree Selvachandran Faculty of Business and Management, UCSI University, Jalan Menara Gading, 56000 Cheras, Kuala Lumpur, Malaysia;
  • Sher Lyn Tan 4 Institute of Actuarial Science and Data Analytics, UCSI University, Jalan Menara Gading, 56000 Cheras, Kuala Lumpur, Malaysia;

Keywords:

Fuzzy set; Bipolar valued neutrosophic subbisemiring; Bipolar valued neutrosophic bisemiring; Homomorphism; Normal

Abstract

In this paper, we introduce the notion of bipolar-valued neutrosophic subbisemiring (BVNSBS),
level sets of BVNSBS, and bipolar valued neutrosophic normal subbisemiring (BVNNSBS) of a bisemiring. The
concept of BVNSBS is a new generalization of subbisemiring over bisemirings. We discussed the theory of (ξ, τ )-
BVNSBS and (ξ, τ )-BVNNSBS over bisemirings and presented several illustrative examples to demonstrate the
sufficiency and validity of the proposed theorems, lemmas, and propositions.

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Published

2023-05-01

Issue

Vol. 55 (2023): Neutrosophic Sets and Systems

Section

SI#1,2024: Neutrosophical Advancements And Their Impact on Research

License

Creative Commons License

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

 Creative Commons Attribution (CC BY) license.

How to Cite

M.Palanikumar, G.Selvi2, Ganeshsree Selvachandran, & Sher Lyn Tan. (2023). New approach to bisemiring theory via the bipolar valued neutrosophic normal sets. Neutrosophic Sets and Systems, 55, 427-450. https://fs.unm.edu/nss8/index.php/111/article/view/3201