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基于映射理论下的决策评判模型
引用本文:李俊宏.基于映射理论下的决策评判模型[J].模糊系统与数学,2009,23(6).
作者姓名:李俊宏
作者单位:河海大学,水利水电工程学院,江苏,南京,210098
摘    要:按照映射理论,通过建立评价指标标准值与评价指标标准值顺序数之间的函数,将非等长度区间映射成长度为1的等长区间,提出了一种求解决策评判的新模型,解决了不同标度下的评价因子、评价类别的决策评判问题,纠正了可拓理论关联函数基本公式的错误,简化了可变模糊集模型中的M矩阵和B矩阵,进而统一了可拓评价和可变模糊集理论在决策评判中的一致性,并实例验证了模型的优越性和正确性,对决策评判问题具有重要的应用拓广参考价值.

关 键 词:映射  工程模糊集  可拓评价  决策评判  模型

The Model of Decision-making Based on Mapping Theory
LI Jun-hong.The Model of Decision-making Based on Mapping Theory[J].Fuzzy Systems and Mathematics,2009,23(6).
Authors:LI Jun-hong
Abstract:A new model of decision-making is put forward by constructing the function between sequence numbers and standard values of evaluation index, which maps the unequal length intervals to the standard interval with length equal to 1. The decision-making under different scale index and grades can be solved, and the mistakes of basic formula of extension dependent function are corrected, at the same time, the matrices M and B in the model of engineering variable fuzzy set are simplified, so the consistency of extension evaluation and engineering variable fuzzy set in decision-making can be satisfied. In the end, the model is verified through an example, it is very useful in engineering practice.
Keywords:Mapping  Engineering Variable Fuzzy Set  Extension Evaluation  Decision-making  Model
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