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Full-Text Articles in Algebra
Representation And Decomposition Of An Intuitionistic Fuzzy Matrix Using Some (Α, Α') Cuts, T. Muthuraji, S. Sriram
Representation And Decomposition Of An Intuitionistic Fuzzy Matrix Using Some (Α, Α') Cuts, T. Muthuraji, S. Sriram
Applications and Applied Mathematics: An International Journal (AAM)
The aim of this paper is to study the properties of various (α, α') cuts on Intuitionistic Fuzzy Matrices. Here we introduce different kinds of cuts on Intuitionistic Fuzzy Sets. We discuss some properties of the cuts with some other existing operators on Intuitionistic Fuzzy Matrix. Finally some representation and decomposition of an Intuitionistic Fuzzy Matrix using (α, α') cuts are given.
Reduction Of A Nilpotent Intuitionistic Fuzzy Matrix Using Implication Operator, Riyaz A. Padder, P. Murugadas
Reduction Of A Nilpotent Intuitionistic Fuzzy Matrix Using Implication Operator, Riyaz A. Padder, P. Murugadas
Applications and Applied Mathematics: An International Journal (AAM)
A problem of reducing intuitionistic fuzzy matrices is examined and some useful properties are obtained with respect to nilpotent intutionistic fuzzy matrices. First, reduction of irreflexive and transitive intuitionistic fuzzy matrices are considered, and then the properties are applied to nilpotent intutionistic fuzzy matrices. Nilpotent intuitionistic fuzzy matrices are intuitionistic fuzzy matrices which signify acyclic graphs, and the graphs are used to characterize consistent systems. The properties are handy for generalization of various systems with intuitionistic fuzzy transitivity.