On a Weighting Technique for Multiple Cost Optimization Problems with Interval Values

Savin Treanţă () and Omar Mutab Alsalami
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Savin Treanţă: Faculty of Applied Sciences, National University of Science and Technology Politehnica Bucharest, 060042 Bucharest, Romania
Omar Mutab Alsalami: Department of Electrical Engineering, College of Engineering, Taif University, Taif 21944, Saudi Arabia

Mathematics, 2024, vol. 12, issue 15, 1-10

Abstract: This paper deals with a weighting technique for a class of multiple cost optimization problems with interval values. More specifically, we introduce a multiobjective interval-valued controlled model and investigate it by applying the weighting method. In this regard, several characterization theorems are derived. Moreover, a numerical example is formulated. Based on the provided illustrative example and performing a comparative analysis of the results obtained using the weighting technique versus traditional optimization methods, we can easily conclude the effectiveness of the weighting technique in solving multiple cost optimization problems, that is, the conversion of a vector problem to a scalar one.

Keywords: multiple cost optimization problems; weighting technique; convex interval-valued controlled multiple integral functional; LU -efficient point (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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