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

Bokan Zhang; Congxin Wu

doi:10.1016/S0165-0114(01)00129-4

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

Bokan Zhang, Congxin Wu^*

^*此作品的通讯作者

数学学院

Harbin Institute of Technology

科研成果: 期刊稿件 › 文章 › 同行评审

4 引用（Scopus）

摘要

A series of representation theorems for fuzzy numbers in n-dimensional fuzzy number space were studied. The representation theorem of one dimensional fuzzy number, which expresses a fuzzy number as two real-valued functions was proved to be useful in solving many problems concerning fuzzy numbers. The three parameters defined for one-dimensional fuzzy numbers such as value, ambiguity and fuzziness were also studied for n-dimensional fuzzy numbers.

源语言	英语
页（从-至）	227-235
页数	9
期刊	Fuzzy Sets and Systems
卷	128
期	2
DOI	https://doi.org/10.1016/S0165-0114(01)00129-4
出版状态	已出版 - 1 6月 2002

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KW - Support function

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

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