Fuzzy Almost Bi-ideals of Near-rings

P   Murugadas; V  Vetrivel  and M  R  Thirumagal

doi:10.17485/ijst/2019/v12i17/142765

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Indian Journal of Science and Technology

DOI: 10.17485/ijst/2019/v12i17/142765

Year: 2019, Volume: 12, Issue: 17, Pages: 1-4

Original Article

Fuzzy Almost Bi-ideals of Near-rings

P . Murugadas^1*, V. Vetrivel² and M. R. Thirumagal³

¹Department of Mathematics, Government Arts and Science College, Karur – 639005, Tamil Nadu, India; [email protected]
²Department of Mathematics, Annamalai University, Annamalainagar – 608002, Tamil Nadu, India; [email protected]
³ Department of Mathematics, Jawahar Science College, Neyveli – 607803, Tamil Nadu, India; [email protected]

*Author for correspondence
P . Murugadas
Department of Mathematics, Government Arts and Science College, Karur – 639005, Tamil Nadu, India.
Email: [email protected]

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

Abstract

Objectives: To study fuzzy almost bi-ideals in near-rings. Methods/Statistical Analysis: We extend the concept of fuzzy almost bi-ideals in semigroup to near-ring. Findings: We discuss some algebraic properties of fuzzy almost bi-ideal and minimal fuzzy almost bi-ideal. Application: This fuzzy almost bi-ideal concept can be used in semiring, ternary semiring etc.

Keywords: Almost Bi-ideals (ABI), Bi-ideals (BI), Fuzzy Almost Bi-ideals (FABI), Minimal Almost Bi-ideals (MABI), Minimal Fuzzy Almost Bi-ideals (MFABI), Near-rings (NR)