The algebraic properties of interval valued intuitionistic fuzzy matrices

Interval valued intuitionistic fuzzy set theory which is a generalization of intuitionistic fuzzy set theory is encountered in studies with many theory and application areas. When the point of view of historical development and fuzzy set theory defined in 1965, search answer to similar situations with the help of fuzzy logic. Interval valued intuitionistic fuzzy set theory that is one of the generalization of intuitionistic fuzzy set theory has many theoretical and application areas. Intuitionistic fuzzy set theory which is a generalization of fuzzy set theory was put forward by K. T. Atanassov in 1983. The fundamental properties and algebraic properites of interval valued intuitionistic fuzzy set was introduced in 1989. In this thesis studies the definitions of Hamming Measure, Generelized Hamming Measure, Euclidean Measure, Generalized Euclidean Measure are given on Interval valued intuitionistic fuzzy matrix. Afterwards, Interval valued scaler matrix and the properties of interval valued intuitionistic fuzzy algebric structures is given. The algebraic properties of these were studied by using the propositions and examples that provided the distributive property.