MODELING PROPERTIES OF INTERVAL VALUED ANTI-NEUTROSOPHIC FUZZY IDEALS IN NEAR-RINGS

K. Lenin Muthu  Kumaran; A. Rajalakshmi

doi:10.30572/2018/KJE/160409

Authors

K. Lenin Muthu Kumaran Associate Professor, Department of Mathematics, Shanmuga Industries Arts & Science College, Affiliated to Thiruvalluvar University, Tiruvannamalai, Tamilnadu, India – 606603
A. Rajalakshmi Research Scholar, Department of Mathematics, Shanmuga Industries Arts & Science College, Affiliated to Thiruvalluvar University, Tiruvannamalai, Tamilnadu, India – 606603

DOI:

https://doi.org/10.30572/2018/KJE/160409

Keywords:

Near-Rings, Interval-Valued Anti-Neutrosophic Fuzzy Ideals (IVANFIs), Fuzzy Set Theory, Algebraic Structures, Fuzzy Ideals

Abstract

This paper characterizes interval-valued anti-neutrosophic fuzzy ideals (IVANFIs) within near-rings, addressing the gap in algebraic theory related to their behavior in such structures. We define the direct product, complement, and factor group of IVANFIs and explore their properties through examples. The study combines interval-valued fuzzy sets with anti-neutrosophic logic, offering a flexible framework for handling uncertainty. By examining key properties such as homomorphisms, union and intersection behaviors, and relationships with other fuzzy ideals, the paper enhances the understanding of these structures and their applications in decision-making under uncertainty

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