On regularity of block triangular fuzzy matrices |
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Authors: | AR. Meenakshi |
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Affiliation: | 1. Department of Mathematics, Annamalai University, 608002, Annamalainagar, India
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Abstract: | Necessary and sufficient conditions are given for the regularity of block triangular fuzzy matrices. This leads to characterization of idempotency of a class of triangular Toeplitz matrices. As an application, the existence of group inverse of a block triangular fuzzy matrix is discussed. Equivalent conditions for a regular block triangular fuzzy matrix to be expressed as a sum of regular block fuzzy matrices is derived. Further, fuzzy relational equations consistency is studied. |
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