A New Compromise Decision-making Model Based on TOPSIS and VIKOR forSolving Multi-objective Large-scale Programming Problems with a Block AngularStructure under Uncertainty
محل انتشار: ماهنامه بین المللی مهندسی، دوره: 27، شماره: 11
سال انتشار: 1393
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 788
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شناسه ملی سند علمی:
JR_IJE-27-11_004
تاریخ نمایه سازی: 12 آبان 1393
چکیده مقاله:
This paper proposes a compromise model, based on a new method, to solve the multi-objective largescalelinear programming (MOLSLP) problems with block angular structure involving fuzzyparameters. The problem involves fuzzy parameters in the objective functions and constraints. In thiscompromise programming method, two concepts are considered simultaneously. First of them is thatthe optimal alternative is closer to fuzzy positive ideal solution (FPIS) and farther from fuzzy negativeideal solution (FNIS). Second of them is that the proposed method provides a maximum ‘‘grouputility’’ 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. Amulti 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 onTOPSIS and VIKOR simultaneously. Finally, to illustrate the proposed method, an illustrative exampleis provided.
کلیدواژه ها:
نویسندگان
b Vahdani
Faculty of Industrial and Mechanical Engineering, Qazvin Branch, Islamic Azad University, Qazvin, Iran
m Salimia
Faculty of Industrial and Mechanical Engineering, Qazvin Branch, Islamic Azad University, Qazvin, Iran
s.m Mousavi
Industrial Engineering Department, Faculty of Engineering, Shahed University, Tehran, Iran