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.
Padder, Riyaz A. and Murugadas, P.
Reduction of a nilpotent intuitionistic fuzzy matrix using implication operator,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 11,
2, Article 8.
Available at: https://digitalcommons.pvamu.edu/aam/vol11/iss2/8