Abstract
S.Broumi and F.Smarandache introduced the concept of intuitionistic neutrosophic soft set as an extension of the soft set theory. In this paper we have applied the concept of intuitionistic neutrosophic soft set to rings theory .The notion of intuitionistic neutrosophic soft set over ring (INSSOR for short ) is introduced and their basic properties have been investigated.The definitions of intersection, union, AND, and OR operations over ring (INSSOR) have also been defined. Finally, we have defined the product of two intuitionistic neutrosophic soft set over ring.
Highlights
The theory of neutrosophic set (NS), which is the generalization of the classical sets, conventional fuzzy set [1], intuitionistic fuzzy set [2] and interval valued fuzzy set [3],was introduced by Samarandache [4]
The collection (P, A) is termed to be the soft intuitionistic neutrosophic set over U, where P is a mapping given by P: A → N(U)
In this paper we have introduced the concept of intuitionistic neutrosophic soft set over ring (INSSOR for short )
Summary
The theory of neutrosophic set (NS), which is the generalization of the classical sets, conventional fuzzy set [1], intuitionistic fuzzy set [2] and interval valued fuzzy set [3],was introduced by Samarandache [4]. This concept has recently motivated new research in several directions such as databases [5,6], medical diagnosis problem [7],decision making problem [8],topology [9 ],control theory [10]and so on. In this work we first study with the algebraic properties of intuitionistic neutrosophic soft set in ring theory.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
