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Generalized Anti Fuzzy Ideals in Near-rings


Affiliations
1 1Department of Mathematics, Quaid i Azam University Islamabad, Pakistan
2 Deanship of Preparatory Year, Umm Al Qurrs University, Makkah, Saudi Arabia
3 Department of Mathematics, Quaid i Azam University Islamabad, Pakistan
 

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
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  • Generalized Anti Fuzzy Ideals in Near-rings

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Authors

Tariq Anwar
1Department of Mathematics, Quaid i Azam University Islamabad, Pakistan
Mammuhad Naeem
Deanship of Preparatory Year, Umm Al Qurrs University, Makkah, Saudi Arabia
Saleem Abdullah
Department of Mathematics, Quaid i Azam University Islamabad, Pakistan

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

References





DOI: https://doi.org/10.17485/ijst%2F2013%2Fv6i8%2F36934