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Comparison of fuzzy numbers using a fuzzy distance measure

Fuzzy Sets and SystemsPublished 1 September 2002
Liem Tran, Lucien Duckstein
Citations387
SJR quartileQ1
SJR score0.75
SNIP1.25

TL;DR

A new class of distance measures for interval numbers that takes into account all the points in both intervals is developed first, and then it is used to formulate the distance measure for fuzzy numbers.

Abstract

A new approach for ranking fuzzy numbers based on a distance measure is introduced. A new class of distance measures for interval numbers that takes into account all the points in both intervals is developed first, and then it is used to formulate the distance measure for fuzzy numbers. The approach is illustrated by numerical examples, showing that it overcomes several shortcomings such as the indiscriminative and counterintuitive behavior of several existing fuzzy ranking approaches.

Keywords

MathematicsDecision SciencesEngineering