Optimality and duality for a multi-objective programming problem involving generalized d-type-I and related n-set functions

S. K. Mishra; S. Y. Wang; K. K. Lai

doi:10.1016/j.ejor.2005.02.062

Optimality and duality for a multi-objective programming problem involving generalized d-type-I and related n-set functions

S. K. Mishra, S. Y. Wang, K. K. Lai

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

8 Citations (Scopus)

Abstract

In this paper, we introduce several generalized convexity for a real-valued set function and establish optimality and duality results for a multi-objective programming problem involving generalized d-type-I and related n-set functions. © 2005 Elsevier B.V. All rights reserved.

Original language	English
Pages (from-to)	405-418
Journal	European Journal of Operational Research
Volume	173
Issue number	2
DOIs	https://doi.org/10.1016/j.ejor.2005.02.062
Publication status	Published - 1 Sept 2006

Research Keywords

Duality
Generalized convexity
Multi-objective programming
n-set functions
Optimality

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title = "Optimality and duality for a multi-objective programming problem involving generalized d-type-I and related n-set functions",

abstract = "In this paper, we introduce several generalized convexity for a real-valued set function and establish optimality and duality results for a multi-objective programming problem involving generalized d-type-I and related n-set functions. {\textcopyright} 2005 Elsevier B.V. All rights reserved.",

keywords = "Duality, Generalized convexity, Multi-objective programming, n-set functions, Optimality",

author = "Mishra, {S. K.} and Wang, {S. Y.} and Lai, {K. K.}",

year = "2006",

month = sep,

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doi = "10.1016/j.ejor.2005.02.062",

language = "English",

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journal = "European Journal of Operational Research",

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T1 - Optimality and duality for a multi-objective programming problem involving generalized d-type-I and related n-set functions

AU - Mishra, S. K.

AU - Wang, S. Y.

AU - Lai, K. K.

PY - 2006/9/1

Y1 - 2006/9/1

N2 - In this paper, we introduce several generalized convexity for a real-valued set function and establish optimality and duality results for a multi-objective programming problem involving generalized d-type-I and related n-set functions. © 2005 Elsevier B.V. All rights reserved.

AB - In this paper, we introduce several generalized convexity for a real-valued set function and establish optimality and duality results for a multi-objective programming problem involving generalized d-type-I and related n-set functions. © 2005 Elsevier B.V. All rights reserved.

KW - Duality

KW - Generalized convexity

KW - Multi-objective programming

KW - n-set functions

KW - Optimality

UR - http://www.scopus.com/inward/record.url?scp=33646507520&partnerID=8YFLogxK

UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-33646507520&origin=recordpage

U2 - 10.1016/j.ejor.2005.02.062

DO - 10.1016/j.ejor.2005.02.062

M3 - RGC 21 - Publication in refereed journal

SN - 0377-2217

VL - 173

SP - 405

EP - 418

JO - European Journal of Operational Research

JF - European Journal of Operational Research

IS - 2

ER -

Optimality and duality for a multi-objective programming problem involving generalized d-type-I and related n-set functions

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Research Keywords

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