Interval order relationships based on automorphisms and their application to interval optimization

Autor(es)

Costa, T. M. ; Chalco-Cano, Y. ; Osuna-Gomez, R. ; Lodwick, W. A.

• Tipo de documento: Artigo Científico
• Fonte: INFORMATION SCIENCES; v. 615, p. 12-pg., 2022-10-21.

Resumo

This paper presents a method to generate preference ordering relations on interval space based on a family of automorphisms on the bidimensional Euclidean space. This method generates a family of order relation with which many order relations presented in the literature can be obtained as particular cases. This family of preference order relations is used to provide a formulation for a family of interval optimization problems that unifies those formulations whose solution concepts are a Pareto-type. The elements belonging to this family are called u-interval optimization problems. An advantage of the proposed method is that decision makers can consider a suitable interval optimization problem, choosing an appropriate order relation, which is obtained by choosing an automorphism. Moreover, this paper shows that each u-interval optimization problem is equivalent to a biobjective optimization problem. Some optimality conditions for the phi-interval optimization problems are obtained. The method, concepts and results presented herein are illustrated by several examples.(C) 2022 Elsevier Inc. All rights reserved. (AU)

• Processo FAPESP: 21/03269-7 - Determinação de estrutura 3D de proteínas e materiais nanoestruturados com dados incertos via otimização
• Beneficiário: Luiz Leduíno de Salles Neto
• Modalidade de apoio: Auxílio à Pesquisa - Regular