Ranking and defuzzification methods based on area compensation

[en] We present some interesting properties related to the area compensation procedure to compare fuzzy numbers. It has been proved that this method produces more than a fuzzy interval order: it induces a ranking of fuzzy numbers. Some further results are given about the transitivity property and about computational aspects. Extensions to non-normal fuzzy numbers and fuzzy quantities are also proposed.

Disciplines :

Computer science
Mathematics

Author, co-author :

Fortemps, Philippe

Roubens, Marc

Language :

English

Title :

Ranking and defuzzification methods based on area compensation

Publication date :

23 September 1996

Journal title :

Fuzzy Sets and Systems

ISSN :

0165-0114

eISSN :

1872-6801

Publisher :

Elsevier, Netherlands

Volume :

Issue :

Pages :

319-330

Peer reviewed :

Peer Reviewed verified by ORBi

Research unit :

F151 - Mathématique et Recherche opérationnelle

Research institute :

R300 - Institut de Recherche en Technologies de l'Information et Sciences de l'Informatique

Available on ORBi UMONS :

since 26 January 2011

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Scopus citations^®

445

Scopus citations^®
without self-citations

439

OpenCitations

336

Bibliography

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