Generalized-Hukuhara subdifferential analysis and its application in nonconvex composite interval optimization problems

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F23%3A73616918" target="_blank" >RIV/61989592:15310/23:73616918 - isvavai.cz</a>

Výsledek na webu

<a href="https://www.sciencedirect.com/science/article/pii/S0020025522014438" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0020025522014438</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.ins.2022.11.133" target="_blank" >10.1016/j.ins.2022.11.133</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Generalized-Hukuhara subdifferential analysis and its application in nonconvex composite interval optimization problems

Popis výsledku v původním jazyce

In this article, we study calculus for gH-subdifferential of convex interval-valued functions (IVFs) and apply it in a nonconvex composite model of an interval optimization problem (IOP). Towards this, we define convexity, convex hull, closedness, and boundedness of a set of interval vectors. In identifying the closedness of the convex hull of a set of interval vectors and the union of closed sets, we analyze the convergence of the sequence of interval vectors. We prove a relation on the gH-directional derivative of the maximum of finitely many comparable IVFs. With the help of existing calculus on the gH-subdifferential of an IVF, we derive a Fritz-John-type and a KKT-type efficiency condition for weak efficient solutions of IOPs. In the sequel, we analyze the supremum and infimum of a set of intervals. Further, we report a characterization of the weak efficient solutions of nonconvex composite IOPs by applying the proposed concepts. The whole analysis is supported by illustrative examples.

Název v anglickém jazyce

Generalized-Hukuhara subdifferential analysis and its application in nonconvex composite interval optimization problems

Popis výsledku anglicky

In this article, we study calculus for gH-subdifferential of convex interval-valued functions (IVFs) and apply it in a nonconvex composite model of an interval optimization problem (IOP). Towards this, we define convexity, convex hull, closedness, and boundedness of a set of interval vectors. In identifying the closedness of the convex hull of a set of interval vectors and the union of closed sets, we analyze the convergence of the sequence of interval vectors. We prove a relation on the gH-directional derivative of the maximum of finitely many comparable IVFs. With the help of existing calculus on the gH-subdifferential of an IVF, we derive a Fritz-John-type and a KKT-type efficiency condition for weak efficient solutions of IOPs. In the sequel, we analyze the supremum and infimum of a set of intervals. Further, we report a characterization of the weak efficient solutions of nonconvex composite IOPs by applying the proposed concepts. The whole analysis is supported by illustrative examples.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

Projekt

—

Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2023

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

INFORMATION SCIENCES

ISSN

0020-0255

e-ISSN

1872-6291

Svazek periodika

622

Číslo periodika v rámci svazku

APR

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

23

Strana od-do

771-793

Kód UT WoS článku

000900836600006

EID výsledku v databázi Scopus

2-s2.0-85145261326