Optimality conditions for generalized differentiable interval-valued functions

被引：51

作者：

Osuna-Gomez, R. ^{[2
]}

Chalco-Cano, Y. ^{[1
]}

Hernandez-Jimenez, B. ^{[3
]}

Ruiz-Garzon, G. ^{[4
]}

机构：

[1] Univ Tarapaca, Inst Alta Invest, Arica, Chile

[2] Univ Seville, Dept Estadist & IO, E-41012 Seville, Spain

[3] Univ Pablo de Olavide, Dept Econ Metodos Cuantitat & H Econ, Area Estadist & IO, Seville, Spain

[4] Univ Cadiz, Dept Estadist & IO, Cadiz, Spain

来源：

INFORMATION SCIENCES | 2015年 / 321卷

关键词：

Interval-valued function; Generalized Hukuhara differentiability; Optimality condition; PROGRAMMING-PROBLEMS; OBJECTIVE FUNCTION; OPTIMIZATION; SUFFICIENCY; EQUATIONS; DUALITY;

D O I：

10.1016/j.ins.2015.05.039

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper we study the optimal solutions set for a generalized differentiable interval-valued function. Necessary and sufficient optimality conditions are established for gH-differentiable functions. Convexity assumptions that are necessary or required to ensure the characterization of the optimal solutions are weaker or less strict than those presented in previous works. These convexity assumptions are the weakest to characterize the optimal solutions set. Known results for classical non interval-valued optimization are particular cases of the ones proved here. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：136 / 146

页数：11

共 30 条

[1]

Allahviranloo T., 2012, Journal of Fuzzy Set Valued Analysis, Vjfsva-00135, P1

[2] Medical diagnosis of cardiovascular diseases using an interval-valued fuzzy rule-based classification system [J].