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The definition of the degree of arity ≤ n about M-fuzzifying convex space is introduced in this paper. It can be viewed as a generalization of arity ≤ n and M-fuzzifying arity ≤ n. Moreover, the relationships among the degree of arity ≤ n, arity ≤ n and M-fuzzifying arity ≤ n are surveyed.
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