Generalized Anti Fuzzy Ideals in Near-Rings

Tariq Anwar; Mammuhad Naeem  and Saleem Abdullah

doi:10.17485/ijst/2013/v6i8.12

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Generalized Anti Fuzzy Ideals in Near-Rings

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Indian Journal of Science and Technology

DOI: 10.17485/ijst/2013/v6i8.12

Year: 2013, Volume: 6, Issue: 8, Pages: 1-12

Original Article

Generalized Anti Fuzzy Ideals in Near-Rings

Tariq Anwar^1∗ , Mammuhad Naeem² and Saleem Abdullah³

¹ Department of Mathematics, Quaid i Azam University Islamabad Pakistan; [email protected]
² Deanship of Preparatory Year, Umm Al Qurrs University, Makkah, Saudi Arabia; [email protected]
³Department of Mathematics, Quaid i Azam University Islamabad Pakistan; [email protected]
*Author For Correspondence
Tariq Anwar
Department of Mathematics
Email:[email protected]

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

Abstract

In this paper, we generalize anti-fuzzy ideals of near-rings, introduce the concept of (<,< ∨ϒ)-fuzzy ideals, prime (<,< ∨ϒ)- fuzzy ideals, semiprime (<,< ∨ϒ)-fuzzy ideals of near-rings and discuss some properties of such ideals.
Keywords: Near-ring, Fuzzy Set, Anti Fuzzy Point, (<,< ∨ϒ)-Fuzzy Ideals AMS Classification: 16Y60, 13E05, 03G25