Second order (F, α, ρ, d)-convexity and duality in multiobjective programming

I. Ahmad; Z. Husain

doi:10.1016/j.ins.2005.08.003

Second order (F, α, ρ, d)-convexity and duality in multiobjective programming

I. Ahmad, Z. Husain^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

54 Scopus citations

Abstract

A class of second order (F, α, ρ, d)-convex functions and their generalizations is introduced. Using the assumptions on the functions involved, weak, strong and strict converse duality theorems are established for a second order Mond-Weir type multiobjective dual.

Original language	English
Pages (from-to)	3094-3103
Number of pages	10
Journal	Information Sciences
Volume	176
Issue number	20
DOIs	https://doi.org/10.1016/j.ins.2005.08.003
State	Published - 22 Oct 2006
Externally published	Yes

Keywords

Efficient solutions
Generalized (F, α, ρ, d)-convexity
Multiobjective programming
Second order duality

ASJC Scopus subject areas

Software
Control and Systems Engineering
Theoretical Computer Science
Computer Science Applications
Information Systems and Management
Artificial Intelligence

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10.1016/j.ins.2005.08.003

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title = "Second order (F, α, ρ, d)-convexity and duality in multiobjective programming",

abstract = "A class of second order (F, α, ρ, d)-convex functions and their generalizations is introduced. Using the assumptions on the functions involved, weak, strong and strict converse duality theorems are established for a second order Mond-Weir type multiobjective dual.",

keywords = "Efficient solutions, Generalized (F, α, ρ, d)-convexity, Multiobjective programming, Second order duality",

author = "I. Ahmad and Z. Husain",

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T1 - Second order (F, α, ρ, d)-convexity and duality in multiobjective programming

AU - Ahmad, I.

AU - Husain, Z.

PY - 2006/10/22

Y1 - 2006/10/22

N2 - A class of second order (F, α, ρ, d)-convex functions and their generalizations is introduced. Using the assumptions on the functions involved, weak, strong and strict converse duality theorems are established for a second order Mond-Weir type multiobjective dual.

AB - A class of second order (F, α, ρ, d)-convex functions and their generalizations is introduced. Using the assumptions on the functions involved, weak, strong and strict converse duality theorems are established for a second order Mond-Weir type multiobjective dual.

KW - Efficient solutions

KW - Generalized (F, α, ρ, d)-convexity

KW - Multiobjective programming

KW - Second order duality

UR - https://www.scopus.com/pages/publications/33745987283

U2 - 10.1016/j.ins.2005.08.003

DO - 10.1016/j.ins.2005.08.003

M3 - Article

AN - SCOPUS:33745987283

SN - 0020-0255

VL - 176

SP - 3094

EP - 3103

JO - Information Sciences

JF - Information Sciences

IS - 20

ER -

Second order (F, α, ρ, d)-convexity and duality in multiobjective programming

Abstract

Keywords

ASJC Scopus subject areas

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