• 호남수학학술지
• /
• 제26권1호
• /
• pp.3-15
• /
• 2004

In the fuzzy theory, a matrix A is idempotent if $A^2=A$. The idempotent fuzzy matrices are important in various applications and have many interesting properties. Using the upper diagonal completion process, we have the zero patterns of idempotent fuzzy matrix, that is, the idempotent Boolean matrices. In addition, we give the construction of all idempotent fuzzy matrices for each dimension n.

• Journal of applied mathematics & informatics
• /
• 제15권1_2호
• /
• pp.475-484
• /
• 2004

In general, a matrix A is idempotent if $A^2$ = A. The idempotent matrices play an important role in the matrix theory and some properties of the Boolean matrices are examined. Using the upper diagonal completion process, we give the characterization of the Boolean idempotent matrices in modified Frobenius normal form.

• 대한수학회논문집
• /
• 제10권3호
• /
• pp.561-573
• /
• 1995

A matrix whose entries consist of the symbols +, - and 0 is called a sign pattern matrix. In [1], a graph theoretic characterization of sign idempotent pattern matrices was given. A question was given for the sign patterns which allow idempotence. We characterized the sign patterns which allow idempotence in the sign idempotent pattern matrices.

• 호남수학학술지
• /
• 제36권1호
• /
• pp.187-198
• /
• 2014

The fuzzy idempotent matrices are important in various applications and have many interesting properties. Using the upper diagonal completion process, we have the zero patterns of fuzzy idempotent matrix, that is, Boolean idempotent matrices. And we give the construction of all fuzzy idempotent matrices for some dimention.