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^*

^*Corresponding author for this work

School of Mathematics and Statistics

Harbin Institute of Technology

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	227-235
Number of pages	9
Journal	Fuzzy Sets and Systems
Volume	128
Issue number	2
DOIs	https://doi.org/10.1016/S0165-0114(01)00129-4
Publication status	Published - 1 Jun 2002

Keywords

Ambiguity
Fuzziness
Fuzzy numbers
Support function
Value

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10.1016/S0165-0114(01)00129-4

Cite this

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abstract = "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.",

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AU - Wu, Congxin

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AB - 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.

KW - Ambiguity

KW - Fuzziness

KW - Fuzzy numbers

KW - Support function

KW - Value

UR - https://www.scopus.com/pages/publications/0036603875

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DO - 10.1016/S0165-0114(01)00129-4

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JO - Fuzzy Sets and Systems

JF - Fuzzy Sets and Systems

IS - 2

ER -

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

Abstract

Keywords

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