Multiplicative Functional on Upper Triangular Fuzzy Matrices

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.

Authors:

• Liu Ping

Keywords:

• Multiplicative functional
• triangular fuzzy matrix
• fuzzy addition operation
• fuzzy multiplication operation.

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