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Generalized Convexity in Multiobjective Programming [PDF]

open access: yesJournal of Mathematical Analysis and Applications, 1999
Consider a multicriteria or vector optimization problem of the form: ``Minimize \(f(x)= (f_1(x),\dots\), \(f_n(x))\) subject to \(x\in S\) and \(g(x)\leq 0\).'' The authors discuss the role played by the concepts of KT-invexity and KT-pseudoinvexity in connection with the establishment of Kuhn-Tucker optimality conditions for weakly efficient points.
Osuna Gómez, Rafaela   +2 more
openaire   +5 more sources

On stability in multiobjective programming — A stochastic approach [PDF]

open access: yesMathematical Programming, 1992
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Vogel, Silvia
openaire   +4 more sources

Efficiency and duality in nonsmooth multiobjective fractional programming involving η-pseudolinear functions [PDF]

open access: yesYugoslav Journal of Operations Research, 2012
In this paper, we shall establish necessary and sufficient optimality conditions for a feasible solution to be efficient for a nonsmooth multiobjective fractional programming problem involving η-pseudolinear functions.
Mishra S.K., Upadhyay B.B.
doaj   +1 more source

Multivariate Stochastic Optimization Approach Applied in a Flux-Cored Arc Welding Process

open access: yesIEEE Access, 2020
One of the main goals in flux-cored arc welding processes is the optimization of bead geometry, in which multiple geometric characteristics of the welding bead are important; therefore, multiobjective optimization programming is often applied.
Alexandre F. Torres   +5 more
doaj   +1 more source

Optimality conditions and duality in multiobjective programming with invexity [PDF]

open access: yesYugoslav Journal of Operations Research, 2008
(', ρ)-invexity has recently been introduced with the intent of generalizing invex functions in mathematical programming. Using such conditions we obtain new sufficiency results for optimality in multiobjective programming and extend some classical ...
Ferrara Massimiliano   +1 more
doaj   +1 more source

A method for generating a well-distributed Pareto set in nonlinear multiobjective optimization [PDF]

open access: yes, 2009
A method is presented for generating a well-distributed Pareto set in nonlinear multiobjective optimization. The approach shares conceptual similarity with the Physical Programming-based method, the Normal-Boundary Intersection and the Normal ...
Utyuzhnikov, S.V.; id_orcid   +7 more
core   +1 more source

On the Study of Some Fuzzy Stochastic Linear Multiobjective Programming Problems [PDF]

open access: yesThe Egyptian Statistical Journal, 1995
The different possible formulations of what could be called a fuzzy chance-constrained linear multiobjective programming problem are presented and their equivalent linear deterministic forms are deduced using the chance-constraints approach of stochastic
Nadia Girgis, Maha El-Ashram
doaj   +1 more source

Advancing equitability in multiobjective programming

open access: yesComputers & Mathematics with Applications, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Davaatseren Baatar, Margaret M. Wiecek
openaire   +3 more sources

Generating Efficient Outcome Points for Convex Multiobjective Programming Problems and Its Application to Convex Multiplicative Programming

open access: yesJournal of Applied Mathematics, 2011
Convex multiobjective programming problems and multiplicative programming problems have important applications in areas such as finance, economics, bond portfolio optimization, engineering, and other fields. This paper presents a quite easy algorithm for
Le Quang Thuy   +2 more
doaj   +1 more source

Multiobjective Evaluation of Coevolution among Innovation Populations Based on Lotka–Volterra Equilibrium

open access: yesDiscrete Dynamics in Nature and Society, 2021
The collaborative evaluation of enterprise innovation populations is a hot issue. The Lotka–Volterra model is a mature method used to evaluate the interaction mechanism of populations and is widely used in innovation ecology research studies.
Sheng-Yuan Wang   +3 more
doaj   +1 more source

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