Improved Group Fuzzy Preference Programming Method Based on Fuzzy Random Theory |
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| Authors: | HUANG Li-jian and WU Qi-zong |
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| Affiliation: | School of Management and Economics, Beijing Institute of Technology, Beijing 100081, China; Haikou Central Sub-branch, the People's Bank of China, Haikou 570105, China;School of Management and Economics, Beijing Institute of Technology, Beijing 100081, China |
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| Abstract: | A new prioritization method in the analytic hierarchy process (AHP), which improves the group fuzzy preference programming (GFPP) method, is proposed.The fuzzy random theory is applied in the new prioritization method.By modifying the principle of decision making implied in the GFPP method, the improved group fuzzy preference programming (IGFPP) method is formulated as a fuzzy linear programming problem to maximize the average degree of the group satisfaction with all possible group priority vectors.The IGFPP method inherits the advantages of the GFPP method, and solves the weighting trouble existed in the GFPP method.Numerical tests indicate that the IGFPP method performs more effectively than the GFPP method in the case of very contradictive comparison judgments from decision makers. |
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| Keywords: | group decision-making analytic hierarchy process (AHP) fuzzy linear programming fuzzy random variable |
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