RANKING AND DEFUZZIFICATION METHODS BASED ON AREA COMPENSATION

Authors
FORTEMPS P ROUBENS M
Citation
P. Fortemps et M. Roubens, RANKING AND DEFUZZIFICATION METHODS BASED ON AREA COMPENSATION, Fuzzy sets and systems, 82(3), 1996, pp. 319-330
Citations number
23
Categorie Soggetti
Computer Sciences, Special Topics","System Science",Mathematics,"Statistic & Probability",Mathematics,"Computer Science Theory & Methods
Journal title
Fuzzy sets and systems → ACNP
ISSN journal
01650114
Volume
82
Issue
3
Year of publication
1996
Pages
319 - 330
Database
ISI
SICI code
0165-0114(1996)82:3<319:RADMBO>2.0.ZU;2-B
Abstract
We present some interesting properties related to the area compensatio n procedure to compare fuzzy numbers. It has been proved that this met hod 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 fuz zy numbers and fuzzy quantities are also proposed.