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Erschienen in: Soft Computing 6/2018

05.10.2017 | Foundations

Redefinition of the concept of fuzzy set based on vague partition from the perspective of axiomatization

verfasst von: Xiaodong Pan, Yang Xu

Erschienen in: Soft Computing | Ausgabe 6/2018

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Abstract

Based on the in-depth analysis of the essence and key features of vague phenomena, this paper focuses on establishing the axiomatical foundation of membership degree theory using for modeling vague phenomena, presents an axiomatic system to govern membership degrees and their interconnections. The concept of vague partition is introduced, on this basis, the concept of fuzzy set in Zadeh’s sense is redefined based on vague partition from the perspective of axiomatization. The thesis defended in this paper is that the mutual constraint relationship among vague attribute values in a vague partition should be the starting point to recognize and model vague phenomena by the quantitative analysis method.

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Metadaten
Titel
Redefinition of the concept of fuzzy set based on vague partition from the perspective of axiomatization
verfasst von
Xiaodong Pan
Yang Xu
Publikationsdatum
05.10.2017
Verlag
Springer Berlin Heidelberg
Erschienen in
Soft Computing / Ausgabe 6/2018
Print ISSN: 1432-7643
Elektronische ISSN: 1433-7479
DOI
https://doi.org/10.1007/s00500-017-2855-5

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