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A New Compromise Decision-Making Model Based on Topsis and Vikor For Solving Multi-Objective Large-Scale Programming Problems With A Block Angular Structure Under Uncertainty
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نویسنده
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Vahdani B. ,Salimi M. ,Mousavi S. M.
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منبع
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International Journal Of Engineering - 2014 - دوره : 27 - شماره : 11 - صفحه:1673 -1680
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چکیده
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This paper proposes a compromise model, based on a new method, to solve the multi-objective largescale linear programming (molslp) problems with block angular structure involving fuzzyparameters. the problem involves fuzzy parameters in the objective functions and constraints. in this compromise programming method, two concepts are considered simultaneously. first of them is that the optimal alternative is closer to fuzzy positive ideal solution (fpis) and farther from fuzzy negative ideal solution (fnis). second of them is that the proposed method provides a maximum ‘‘group utility’’ for the ‘‘majority’’ and a minimum of an individual regret for the ‘‘opponent’’. in proposedmethod, the decomposition algorithm is utilized to reduce the large-dimensional objective space. a multi objective identical crisp linear programming is derived from the fuzzy linear model for solvingthe problem. then, a compromise solution method is applied to solve each sub problem based on topsis and vikor simultaneously. finally, to illustrate the proposed method, an illustrative example is provided.
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کلیدواژه
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Multi-Objective ,Uncertainty ,Topsis ,Vikor
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آدرس
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Islamic Azad University, Qazvin Branch, Faculty Of Industrial And Mechanical Engineering, ایران, Islamic Azad University, Qazvin Branch, Faculty Of Industrial And Mechanical Engineering, ایران, Shahed University, Faculty Of Engineering, Industrial Engineering Department, ایران
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Authors
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