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Your search keyword '"Hernández-Jiménez, Beatriz"' showing total 3 results
Start Over Author "Hernández-Jiménez, Beatriz" Topic optimality conditions
3 results on '"Hernández-Jiménez, Beatriz"'

1. A Review on Differentiability and Optimality Conditions in Fuzzy Environments

Author

Hernández-Jiménez, Beatriz, Osuna-Gómez, Rafaela, Chalco-Cano, Yurilev, Costa, Tiago Mendoça da, Filipe, Joaquim, Editorial Board Member, Ghosh, Ashish, Editorial Board Member, Prates, Raquel Oliveira, Editorial Board Member, Zhou, Lizhu, Editorial Board Member, Ciucci, Davide, editor, Couso, Inés, editor, Medina, Jesús, editor, Ślęzak, Dominik, editor, Petturiti, Davide, editor, Bouchon-Meunier, Bernadette, editor, and Yager, Ronald R., editor

Published
2022
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2. A review on differentiability and optimality conditions in fuzzy environments

Author

Hernández Jiménez, Beatriz, Osuna Gómez, Rafaela, Chalco Cano, Yurilev, Costa, Tiago Mendoça da, and Universidad de Sevilla. Departamento de Estadística e Investigación Operativa

Subjects
Optimality conditions, Differentiability, Fuzzy functions
Abstract

In this paper we present a review of the most important notions and characterizations of differentiability and necessary optimality conditions for a fuzzy multiobjective problem. As basis of this review, we first study the fundamental aspects of the notions of differentiability for interval valued functions, since the fuzzy environment and the interval environment are closely related. Those aspects are related to the different definitions of difference for intervals and their drawbacks, the different definitions and characterizations of the differentiability for interval-valued functions and their drawbacks and how they have been solved in the literature. Based on the most important and meaning results on interval valued functions you can find in the literature, a review on notions of differentiability in fuzzy context is given, both in the case of functions of one variable, and several variables. And finally we present the review results of the necessary optimality conditions for fuzzy multiobjective problems and the main conclusions.

Published
2022

3. Generalized convexity and efficiency for non-regular multiobjective programming problems with inequality-type constraints

Author

Hernández-Jiménez, Beatriz, Osuna-Gómez, Rafaela, Arana-Jiménez, Manuel, and Ruiz Garzón, Gabriel

Subjects
*GENERALIZATION, *CONVEX domains, *MATHEMATICAL programming, *MATHEMATICAL inequalities, *MATHEMATICAL analysis
Abstract

Abstract: For multiobjective problems with inequality-type constraints the necessary conditions for efficient solutions are presented. These conditions are applied when the constraints do not necessarily satisfy any regularity assumptions, and they are based on the concept of 2-regularity introduced by Izmailov. In general, the necessary optimality conditions are not sufficient and the efficient solution set is not the same as the Karush–Kuhn–Tucker points set. So it is necessary to introduce generalized convexity notions. In the multiobjective non-regular case we give the notion of 2-KKT-pseudoinvex-II problems. This new concept of generalized convexity is both necessary and sufficient to guarantee the characterization of all efficient solutions based on the optimality conditions. [ABSTRACT FROM AUTHOR]

Published
2010
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