Multiobjective fuzzy regression with central tendency and possibilistic properties

Authors:
Liem Tran;Lucien Duckstein
Affiliations:
Coll. of Earth and Mineral Sciences, Center for Integrated Regional Assessment, 2217 Earth & Engrg. Science Bldg., The Pennsylvania State University, University Park, PA;Ecole Nationale du Genie Rural, des Eaux et des Forets, 75732 Paris 15, France
Venue:
Fuzzy Sets and Systems
Year:
2002

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Abstract

A multiobjective fuzzy regression model (MOFR) is developed. This MOFR model combines central tendency and possibilistic properties of statistical and fuzzy regressions and overcomes several shortcomings of these two approaches. A new class of distance measure for two intervals that takes into account all the points in both intervals is introduced. The methodology is illustrated by numerical examples.