1Associate professor, Khammam Institute of Technology and Science, Ponnekal, Khammam, Telangana
2Research scholar, Adikavi Nannaya University, Rajahmundry, Andhra Pradesh
3Professor, Kakatiya University, Warangal, Telangana
Online published on 25 April, 2019.
In this paper we introduced the notion of fuzzy ideals of near rings. A near-ring is a ringoid over the group, i.e. a universal algebra in which an associative multiplication and an addition exist, a near ring is a group with respect to the addition, and the right distributive property must hold too. Zadeh [6] in 1965 introduced the concept fuzzy sets after which several researchers explored on the generalizations of the notion of fuzzy sets and its application to many mathematical branches. A fuzzy set is a class of objects with the continuum of grades of membership. Such a set is characterized by a membership (characteristic) function which assigns to each of object a grade of membership ranging between zero and one. AbouZaid[7], introduced the notion of a fuzzy subnear-ring and studied the fuzzy ideals of a near-ring. Nagarajan [14] introduced the new structures of the Q-fuzzy groups.
Near ring, Fuzzy set, Ideals of a Ring, Subring, Group
