| 摘要: |
| 针对以区间二型模糊数为信息环境的多属性群决策问题，提出了一种基于全概率的综合相对交叉熵的决策方法；首先，给出区间二型模糊集的定义，熵及算术平均排序值公式；其次，基于区间二型模糊集的模糊性、犹豫性和区间性，定义了一种新的测量区间二型模糊集的相对交叉熵和综合相对交叉熵的方法，通过构造最优化线性模型求解出了属性权重并对每一方案的属性值进行集结得出最优方案；最后，通过实例分析验证了所提方法的可行性和有效性。 |
| 关键词: 区间二型模糊集 相对交叉熵 综合相对交叉熵 MAGDM 拉格朗日函数法 |
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| MAGDM Method Based on the Comprehensive Relative Cross entropy |
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MEI Kong chun1， MA Qiang1， MAO Jun jun1，2， ZOU Bin3
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| Abstract: |
| Aiming at the problem of multiple attribute group decision making based on interval type 2 fuzzy information environment，this paper proposes a decision method of the comprehensive relative cross entropy based on total probability.Firstly，interval type 2 fuzzy set is defined，entropy and the arithmetic average rank value formula are given.Secondly，based on fuzziness，hesitation and interval of the interval type 2 fuzzy sets，a new method for measuring the relative cross entropy and the comprehensive relative cross entropy is defined in internal type 2 fuzzy sets.By constructing the comprehensive relative cross entropy and entropy linear optimization model to solve out the attribute weights for each scheme,attribute values are aggregated to obtain the optimal scheme.Finally，an example is given to illustrate the feasibility and effectiveness of the proposed method. |
| Key words: interval type 2 fuzzy sets the relative cross entropy the comprehensive relative cross entropy MAGDM the Lagrange function method. |
