Article ID Journal Published Year Pages File Type
10324419 Fuzzy Sets and Systems 2005 13 Pages PDF
Abstract
In this paper, nilpotent matrices over distributive lattices are considered. Some properties and characterizations for nilpotent matrices are established and in particular, a necessary and sufficient condition for an n×n nilpotent matrix to have the nilpotent index n is given. Also, some properties of the reduction of a nilpotent matrix are obtained. Partial results obtained in this paper are results on nilpotent fuzzy matrices by H. Hashimoto.
Related Topics
Physical Sciences and Engineering Computer Science Artificial Intelligence
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