In the former part of this paper, we gave representation theorems for n-dimensional fuzzy numbers. For the special case of n=1, it is just the same as Theorem 1.1 in Goetschel and Voxman (Fuzzy Sets and Systems 18 (1986) 31), which expresses a fuzzy number with two functions. In the latter part of this paper, we will extend the three parameters: value, ambiguity and fuzziness, defined for the one-dimensional fuzzy numbers in Delgado et al. (Fuzzy Sets and Systems 93 (1998) 125; 94 (1998) 205), to the n-dimensional case.
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机译:在本文的前半部分,我们给出了n维模糊数的表示定理。对于n = 1的特殊情况,它与Goetschel和Voxman中的定理1.1(Fuzzy Sets and Systems 18(1986)31)相同,后者用两个函数表示一个模糊数。在本文的后半部分,我们将扩展在Delgado等人中为一维模糊数定义的三个参数:值,模糊性和模糊性。 (Fuzzy Sets and Systems 93(1998)125; 94(1998)205))。
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