Which Interval-Valued Alternatives Are Possibly Optimal If We Use Hurwicz Criterion

Authors

Marina Tuyako Mizukoshi, Federal University of GoiasFollow
Weldon Lodwick, University of Colorado DenverFollow
Martine Ceberio, The University of Texas at El PasoFollow
Vladik Kreinovich, The University of Texas at El PasoFollow

Publication Date

12-1-2022

Comments

Technical Report: UTEP-CS-22-126

Abstract

In many practical situations, for each alternative i, we do not know the corresponding gain xi, we only know the interval [li,ui] of possible gains. In such situations, a reasonable way to select an alternative is to choose some value α from the interval [0,1] and select the alternative i for which the Hurwicz combination α*ui + (1 − α)*li is the largest possible. In situations when we do not know the user's α, a reasonable idea is to select all alternatives that are optimal for some α. In this paper, we describe a feasible algorithm for such a selection.