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)

Highlights

  • Fuzzy subsets introduced by has been extended to group theory in

  • FBI generated by fuzzy subsetes were studied by

  • Almost Bi-ideals (ABI) concept has been extended to NR and some fascinating results are provided

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Summary

Introduction

Fuzzy subsets introduced by has been extended to group theory in. Different types of fuzzy ideals were characterized by. FBI generated by fuzzy subsetes were studied by. ABIs of semigroup were introduced by[1]. ABI concept has been extended to NR and some fascinating results are provided

Preliminaries
ABIs in NRs
MAFBIs
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