T-Independence Condition for Fuzzy Random Vector Based on Continuous Triangular Norms ⁄

Min-independence has been proved to be a su-cient condition of a vector of fuzzy random variables to be a fuzzy random vector. The objective of this paper is to study further on the independence condition for fuzzy random vector based on continuous triangular norms. We flrst discuss measurability criteria for fuzzy random vector, and present two more new equivalent formulations of the measurability criteria. Then, based on the obtained results and T-independence of fuzzy variables, we generalize the independence condition for fuzzy random vector from scenario of minimum triangular norm to that of continuous triangular norms. c

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