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基于直觉模糊集的多准则模糊决策问题
引用本文:林琳,袁学海,夏尊铨.基于直觉模糊集的多准则模糊决策问题[J].数学的实践与认识,2007,37(5):78-82.
作者姓名:林琳  袁学海  夏尊铨
作者单位:1. 沈阳航空工业学院,理学系,辽宁,沈阳,110136
2. 辽宁师范大学,数学学院,辽宁,大连,116029
3. 大连理工大学,应用数学系,辽宁,大连,116024
基金项目:沈阳航空工业学院博士科研启动金
摘    要:提出了一种基于直觉模糊集处理模糊决策问题的新方法.该方法用直觉模糊集描述方案关于准则集的满足程度与不满足程度.而且该方法允许决策者给出准则对于模糊集“重要”的隶属度与非隶属度,即准则的权重也由直觉模糊集表示.这种方法为决策者做出最优决策提供了一种方便有效的方法.

关 键 词:直觉模糊集  多准则模糊决策  线性规划
修稿时间:2006年9月28日

Multicriteria Fuzzy Decision-Making Method Based on Intuitionistic Fuzzy Sets
LIN Lin,YUAN Xue-hai,XIA Zun-quan.Multicriteria Fuzzy Decision-Making Method Based on Intuitionistic Fuzzy Sets[J].Mathematics in Practice and Theory,2007,37(5):78-82.
Authors:LIN Lin  YUAN Xue-hai  XIA Zun-quan
Abstract:A new method for handling multicriteria fuzzy decision-making problems based on intuitionistic fuzzy sets is presented.The proposed method allows the degrees of satisfiability and non-satisfiability of each alternative with respect to a set of criteria to be represented by intuitionistic fuzzy sets,respectively.Furthermore,the proposed method allows the decision-maker to assign the degrees of membership and non-membership of the criteria to the fuzzy concept ″importance″.The method proposed here can provide a useful way to efficiently help the decision-maker to make his decision.
Keywords:intuitionistic fuzzy sets  multicriteria fuzzy decision-making  linear programming
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