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  DOI Prefix   10.20431


 

International Journal of Scientific and Innovative Mathematical Research
Volume 6, Issue 5, 2018, Page No: 1-13

Intuitionistic Fuzzy Semi HX Ring

R. Muthuraj1, M. S. Muthuraman2, K. H. Manikandan3

1.Assistant Professor, P.G. Research Dept., of Mathematics, H. H. Rajahs' College, Bharathidasan University, Pudukkottai, Tamil Nadu, India.
2.Associate Professor, Dept., of Mathematics, P.S.N.A.College of Engg., & Tech., Anna University, Dindigul, Tamil Nadu, India.
3.Assistant Professor, Dept., of Mathematics, P.S.N.A.College of Engg., & Tech., Anna University, Dindigul, Tamil Nadu, India.

Citation : R. Muthuraj, M.S.Muthuraman, K.H.Manikandan, Intuitionistic Fuzzy Semi HX Ring International Journal of Scientific and Innovative Mathematical Research 2018 , 6(5) : 1-13

Abstract

In this paper, we define the notion of intuitionistic fuzzy semi HX ring of a semi HX ring and some of their related properties are investigated. We define the necessity and possibility operators of an intuitionistic fuzzy subset of an intuitionistic fuzzy semi HX ring and discuss some of its properties. We introduce the concept of an image, pre-image of an intuitionistic fuzzy subset and discuss in detail a series of homomorphic and anti homomorphic properties of an intuitionistic fuzzy set are discussed.


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