INTERNATIONAL JOURNAL OF ENGINEERING, SCIENCE AND - Volume 7, Issue 1, January 2018

Pages: 265-270

Date of Publication: 18-Jan-2018

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A Study on Fuzzy Ideal of Near Rings

Author: Khasim Pasha SD? Bothsa Srinivas?? Dr.T.Srinvas???

Category: Engineering, Science and Mathematics

Abstract:

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. Abou-Zaid[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.

Keywords: Near ring; Fuzzy set; Ideals of a Ring; Subring; Group.