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Fuzzy Optimization and Decision Making

Erschienen in:

29.04.2019

Generalized extension principle for non-normal fuzzy sets

verfasst von: Hsien-Chung Wu

Erschienen in: Fuzzy Optimization and Decision Making | Ausgabe 4/2019

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Abstract

The conventional extension principle is established on the Euclidean space and defined by considering the minimum or t-norm operator in which the fuzzy sets are usually assumed to be normal. The previous work on generalized extension principle was also based on the normal fuzzy sets. Since the non-normal fuzzy sets occur frequently in practical applications, in this paper, the generalized extension principle based on the non-normal fuzzy sets is established in which the general aggregation operator and Hausforff space are taken into account.

Nächster Artikel A single-variable method for solving min–max programming problem with addition-min fuzzy relational inequalities

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Titel: Generalized extension principle for non-normal fuzzy sets
verfasst von: Hsien-Chung Wu
Publikationsdatum: 29.04.2019
Verlag: Springer US
Erschienen in: Fuzzy Optimization and Decision Making / Ausgabe 4/2019
Print ISSN: 1568-4539
Elektronische ISSN: 1573-2908
DOI: https://doi.org/10.1007/s10700-019-09307-7

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