Interval-valued intuitionistic fuzzy $k$-ideal in semi-rings

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Authors :

K.R. Balasubramanian 1 and V. Raja 2 *

Author Address :

1 Department of Mathematics, H.H.Rajah’s College(Autonomous), Pudukkottai-622001, Tamil Nadu, India.
2 Department of Mathematics, M.R.Government Arts College, Mannargudi-614001, Tamil Nadu, India.

*Corresponding author.

Abstract :

The concept of interval-valued intuitionistic fuzzy set was introduced by Atanassov and Gargov cite{2} in the year 1989.In this paper the Cartesian product of interval-valued intuitionistic fuzzy $k$-ideals is introduced. Also some basic properties are derived. The relationship between interval-valued intuitionistic fuzzy k-ideal $A,B$ and $A imes B$ are proposed. Some theorems related to the above concepts are stated and proved.

Keywords :

Semi-ring, Interval-valued Intuitionistic Fuzzy $k$-ideal.



Article Info :

Received : May 11, 2018; Accepted : September 21, 2018.



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