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Ain Shams Engineering Journal, 2014 In this paper, we extend the application of exponential penalty function method for solving multiobjective programming problem introduced by Liu and Feng (2010) to solve multiobjective fractional programming problem and analyze the relationship between ...
Anurag Jayswal, Sarita Choudhury
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Disjunctive Programming for Multiobjective Discrete Optimisation [PDF]
INFORMS Journal on Computing, 2018 In this paper, I view and present the multiobjective discrete optimisation problem as a particular case of disjunctive programming where one seeks to identify efficient solutions from within a disjunction formed by a set of systems. The proposed approach lends itself to a simple yet effective iterative algorithm that is able to yield the set of all ...
Tolga Bektaş
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On optimality and duality for multiobjective interval-valued programming problems with vanishing constraints [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2023 In this study, we explore the theoretical features of a multiobjective interval-valued programming problem with vanishing constraints. In view of this, we have defined a multiobjective interval-valued programming prob-lem with vanishing constraints in ...
B. Japamala Rani, I. Ahmad, K. Kummari
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Modified converse duality for multiobjective higher order Wolfe type dual program with cone constraints [PDF]
Yugoslav Journal of Operations Research, 2023 In this paper, we obtain a converse duality theorem for higher order Wolfe type multiobjective programming with cone constraints under appropriate assumptions. This fills some gaps in the work of Kim et al.
Sethi Sonali +2 more
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Karush-Kuhn-Tucker optimality conditions and duality for multiobjective semi-infinite programming with equilibrium constraints [PDF]
Yugoslav Journal of Operations Research, 2021 The purpose of this paper is to study multiobjective semi-infinite programming with equilibrium constraints. Firstly, the necessary and sufficient Karush-Kuhn-Tucker optimality conditions for multiobjective semi-infinite programming with equilibrium ...
Le Thanh Tung
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Multiobjective fractional programming problems and the sufficient condition involving Hb – (p, r)-η- invex function [PDF]
MATEC Web of Conferences, 2021 On the basis of arcwise connected convex functions and (p, r) −η - invex functions, we established Hb –(p, r) –η- invex functions. Based on the generalized invex assumption of new functions, the solutions of a class of multiobjective fractional ...
Gao Xiaoyan, Niu Huan
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Alexandria Engineering Journal, 2022 This paper illustrates how the fuzzy harmonic mean technique can efficiently solve fully fuzzy multilevel multiobjective linear programming (FFMMLP) problems.
E. Fathy, A.E. Hassanien
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Journal of Mathematics, 2021 Aiming at the problem of multiobjective transportation decision-making, a fuzzy compromise method with an improved S-type membership function is proposed.
Xiang Ziquan +3 more
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Sufficient optimality criteria and duality for multiobjective variational control problems with B-(p,r)-invex functions [PDF]
Opuscula Mathematica, 2014 In this paper, we generalize the notion of \(B\)-\((p,r)\)-invexity introduced by Antczak in [A class of \(B\)-\((p; r)\)-invex functions and mathematical programming, J. Math. Anal. Appl. 286 (2003), 187-206] for scalar optimization problems to the case
Tadeusz Antczak, Manuel Arana Jiménez
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On Approximate Efficiency in Multiobjective Programming
Mathematical Methods of Operations Research, 2006 A new definition for approximate efficiency is given for vector, that is, multi-objective optimization. Relations of this new \(\varepsilon\)-efficiency with existing corresponding approximate efficiency concepts are studied. Necessary and sufficient conditions for \(\varepsilon\)-efficiency are presented for convex problems using the well-known ...
César Gutiérrez +2 more
openaire +4 more sources