The Concept of Tripolar Fuzzy Bi-ideal of a Near Ring: An Introduction
Rakshita Deshmukh
Department of Mathematics, University College for Women, Osmania University, Hyderabad – 500095, Telangana, India.
P. Narasimha Swamy *
Department of Mathematics, GITAM Deemed to be University, Hyderabad Campus – 502329, Telangana, India.
B. Jyothi
Department of Mathematics, University College for Women, Osmania University, Hyderabad – 500095, Telangana, India.
*Author to whom correspondence should be addressed.
Abstract
The notion of a near ring was introduced by Dickson in 1905. Fuzzy ideals in near rings were studied by Zaid. A tripolar fuzzy set is a generalization of fuzzy set, intuitionistic fuzzy set, and bipolar fuzzy set. In this paper, the concept of tripolar fuzzy bi ideal of a near ring, which is a generalisation of tripolar fuzzy set, fuzzy bi ideal of a near ring. The intent was to study few properties of it.
Keywords: Tripolar fuzzy set, bi-ideal, near ring