On the representation of n-dimensional fuzzy numbers and their informational content

Authors:
Bokan Zhang;Congxin Wu
Affiliations:
Department of Applied Mathematics, Beijing Institute of Technology, Beijing 100081, People's Republic of China;Department of Mathematics, Harbin Institute of Technology, Harbin 150001, People's Republic of China
Venue:
Fuzzy Sets and Systems
Year:
2002

Citing 11
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Abstract

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.