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On a conjecture with implications for multicriteria decision making

2025/01/11 by Mifrani, Anas
#90C29 #91B06 #FOS: Mathematics #Optimization and Control (math.OC)

paper · doi:10.48550/arxiv.2502.05180

Abstract

We prove a conjecture by Richard Soland that given an efficient solution to a multicriteria optimization problem, there need not exist a continuous, strictly increasing and strictly concave criterion space function that attains its maximum at the vector of criteria values achieved by that solution.

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