World Academy of Science, Engineering and Technology
Published November 1, 2015 | Version 10003108
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Multiplicative Functional on Upper Triangular Fuzzy Matrices

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In this paper, for an arbitrary multiplicative functional f from the set of all upper triangular fuzzy matrices to the fuzzy algebra, we prove that there exist a multiplicative functional F and a functional G from the fuzzy algebra to the fuzzy algebra such that the image of an upper triangular fuzzy matrix under f can be represented as the product of all the images of its main diagonal elements under F and other elements under G.

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References

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