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Reduction of an intuitionistic fuzzy matrix to fuzzy matrix with some algebraic properties

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In this paper we define two operators namely conjunction$(\odot)$ and disjunction$(\oplus)$ from Lukasiewicz's type over Intuitionistic Fuzzy Matrix and several algebraic properties are investigated when the above said operators combined with other well known operators on IFM. Also some reduction operators which reduce an Intuitionistic Fuzzy Matrix to Fuzzy Matrix are introduced. Finally we obtain addition law on probability which contains reduction, conjunction and disjunction operators.

Abstract

In this paper we define two operators namely conjunction$(\odot)$ and disjunction$(\oplus)$ from Lukasiewicz's type over Intuitionistic Fuzzy Matrix and several algebraic properties are investigated when the above said operators combined with other well known operators on IFM. Also some reduction operators which reduce an Intuitionistic Fuzzy Matrix to Fuzzy Matrix are introduced. Finally we obtain addition law on probability which contains reduction, conjunction and disjunction operators.

참고문헌 (26)

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