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Transitive and strongly transitive intuitionistic fuzzy matrices

Rajkumar Pradhan|Madhumangal Pal
기초자연과학연구소 (The Natural Science Institute Wonkwang University)|2017.04|ANNALS OF FUZZY MATHEMATICS AND INFORMATICS|제13권 제4호|pp. 485-498|DOI 10.30948/afmi.2017.13.4.485

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참고문헌

키워드

Transitive intuitionistic fuzzy matrixStrongly transitive intuitionistic fuzzy matrixNilpotent intuitionistic fuzzy matrices

초록

In this paper, some general properties of transitive intuitionistic fuzzy matrices are studied. Here it is shown that, any intuitionistic fuzzy matrix can be represent as a sum of a nilpotent matrix and a symmetric matrix. The definition of strongly transitive intuitionistic fuzzy matrix is given. Finally, the canonical form of both the transitive and strongly transitive intuitonistic fuzzy matrices are given.

Abstract

In this paper, some general properties of transitive intuitionistic fuzzy matrices are studied. Here it is shown that, any intuitionistic fuzzy matrix can be represent as a sum of a nilpotent matrix and a symmetric matrix. The definition of strongly transitive intuitionistic fuzzy matrix is given. Finally, the canonical form of both the transitive and strongly transitive intuitonistic fuzzy matrices are given.

참고문헌 (28)

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