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Nilpotent fuzzy matrices play a crucial role in the study of fuzzy matrix. In this paper, we shall extend the nilpotence to the notion of simultaneous nilpotence for a finite set of fuzzy matrices over Max-nilpotent operations. Some characterizations of the simultaneous nilpotence for a fnite number of fuzzy matrices in Max-nilpotent operations will be established.
Fuzzy matrices provide convenient representations for fuzzy relations on finite universes. In the literature, the powers of a fuzzy matrix with max-min/ max-product/ max-Archimedean t-norm compositions/ max-arithmetic mean composition have been studied. It turns out that the limiting behavior of the powers of a fuzzy matrix depends on the composition involved. In this paper, the max-geometric mean...
Fuzzy relational equations have played an important role in fuzzy modeling and applied to many practical problems. Most theories of fuzzy relational equations based on a premise that the solution set is not empty. However, this is often not the case in practical applications. Recently, Chakraborty et al. presented an efficient algorithm to solve the best approximate solution for the fuzzy relational...
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