A linear programming approach to test efficiency in multi-objective linear fractional programming problems

DOI10.1016/j.apm.2010.04.015zbMath1201.90182OpenAlexW2043944563MaRDI QIDQ611706

Ali Payan, Abbas Ali Noora, Gholam Reza Jahanshahloo, Mohammad Khodabakhshi, Farhad Hosseinzadeh Lotfi

Publication date: 14 December 2010

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2010.04.015

zbMATH Keywords

multi-objective linear fractional programming problem (MOLFPP)strongly efficient pointweakly efficient point

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Fractional programming (90C32) Extreme-point and pivoting methods (90C49)

Related Items (14)

Fuzzy parametric iterative method for multi-objective linear fractional optimization problems ⋮ Second-order Symmetric Duality and Variational Problems ⋮ Unnamed Item ⋮ Advantages, sensitivity and application efficiency of the new iterative method to solve multi-objective linear fractional programming problem ⋮ Enhancing computations of nondominated solutions in MOLFP via reference points ⋮ Finding a solution for Multi-Objective Linear Fractional Programming problem based on goal programming and Data Envelopment Analysis ⋮ Fuzzy efficient iterative method for multi-objective linear fractional programming problems ⋮ Two weighted fuzzy goal programming methods to solve multiobjective goal programming problem ⋮ On the efficiency test in multi-objective linear fractional programming problems by Lotfi et al. 2010 ⋮ A taxonomy and review of the multi-objective fractional programming (MOFP) problems ⋮ Parametric computation of a fuzzy set solution to a class of fuzzy linear fractional optimization problems ⋮ Resource allocation: a common set of weights model ⋮ A computationally efficient algorithm to approximate the pareto front of multi-objective linear fractional programming problem ⋮ Relationship Between β-Efficient Solution and Minimum Risk Efficient Solution for Uncertain Multi-objective Problem

Cites Work

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• Fuzzy approaches for multiple objective linear fractional optimization
• Fractional programming - a survey
• An interactive fuzzy satisficing method for multiobjective linear fractional programming problems
• Bicriteria linear fractional programming
• Goal programming with linear fractional criteria
• A goal programming procedure for fuzzy multiobjective linear fractional programming problem.
• A simple method for obtaining weakly efficient points in multiobjective linear fractional programming problems
• Multiple Objective Linear Fractional Programming
• A Linear Programming Approach to the Cutting Stock Problem—Part II
• Programming with linear fractional functionals
• On Nonlinear Fractional Programming

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