Higher-Order Duality Relations for Multiobjective Fractional Problems Involving Support Functions

In this article, we have introduced a new class of higher-order ( K × Q ) - F -type I functions. Further, we have formulated two higher-order dual models, Wolfe and Schaible type, for a multiobjective fractional programming problem over arbitrary cones and proved appropriate duality relations under...

Celý popis

Uložené v:
Podrobná bibliografia
Vydané v:Bulletin of the Malaysian Mathematical Sciences Society Ročník 42; číslo 3; s. 1255 - 1279
Hlavní autori: Debnath, Indira P., Gupta, S. K.
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Singapore Springer Singapore 15.05.2019
Predmet:
Applications of Mathematics
Mathematics
Mathematics and Statistics
90C32
90C30
90C46
Higher-order
Support functions
Efficient solutions
90C29
Nonlinear multiobjective programming
49N15
type I
-
ISSN:0126-6705, 2180-4206
On-line prístup:Získať plný text
Tagy: Pridať tag
Žiadne tagy, Buďte prvý, kto otaguje tento záznam!
Popis
Shrnutí:In this article, we have introduced a new class of higher-order ( K × Q ) - F -type I functions. Further, we have formulated two higher-order dual models, Wolfe and Schaible type, for a multiobjective fractional programming problem over arbitrary cones and proved appropriate duality relations under the higher-order ( K × Q ) - F -type I assumption. Nontrivial examples are also discussed to validate the weak duality results obtained in the paper.
ISSN:0126-6705
2180-4206
DOI:10.1007/s40840-017-0542-4