Comparison of fuzzy numbers using a fuzzy distance measure

Authors:
Liem Tran;Lucien Duckstein
Affiliations:
Center for Integrated Regional Assessment, Pennsylvania State University, 2217 Earth and Engineering Sciences Building, University Park, PA;Ecole Nationale du Genie Rural, des Eaux et des Forets, 75732 Paris 15, France
Venue:
Fuzzy Sets and Systems - Fuzzy intervals
Year:
2002

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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.