Ranking and defuzzification methods based on area compensation
Fuzzy Sets and SystemsPublished 1 September 1996
Philippe Fortemps, Marc Roubens
Citations530
SJR quartileQ1
SJR score0.75
SNIP1.25
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TL;DR
It has been proved that this method produces more than a fuzzy interval order: it induces a ranking of fuzzy numbers, and extensions to non-normal fuzzy numbers and fuzzy quantities are proposed.
Abstract
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.
Keywords
Computer ScienceDecision SciencesMathematics
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