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Abstract

In this article, we extend the mathematical operation symmetrical difference (⊖) to intuitionistic fuzzy matrix. Various properties of the difference operator ’⊖’ are discussed over intuitionistic fuzzy matrices. Also associativity property of the above said operator is studied when each entry of an intuitionistic fuzzy matrix is either intuitionistic fuzzy tautological or co tautological since it is very critical when we prove that in usual manner. Finally, a commutative monoid algebraic structure is obtained on symmetrical difference operator over intuitionistic fuzzy matrices.

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