| 毕达哥拉斯模糊交叉影响集成算子及其决策应用 |
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| 引用本文： | 刘卫锋,杜迎雪,常娟.毕达哥拉斯模糊交叉影响集成算子及其决策应用[J].控制与决策,2017,32(6):1033-1040. |
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| 作者姓名： | 刘卫锋 杜迎雪 常娟 |
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| 作者单位： | 郑州航空工业管理学院理学院,郑州450015,郑州航空工业管理学院理学院,郑州450015,郑州航空工业管理学院理学院,郑州450015 |
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| 基金项目： | 国家自然科学基金项目(11501525)；河南省社科联、河南省经团联调研项目(SKL-2016-3704)；郑州航空工业管理学院青年科研基金项目(2016113001). |
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| 摘 要： | 定义毕达哥拉斯模糊数的交叉影响加法、数乘、乘法及幂运算,提出毕达哥拉斯模糊交叉影响加权平均算子(PFIWA)、毕达哥拉斯模糊交叉影响有序加权平均算子(PFIOWA)、毕达哥拉斯模糊交叉影响加权几何算子(PFIWG)及毕达哥拉斯模糊交叉影响有序加权几何算子(PFIOWG),推导出它们的数学表达式,并研究其性质.提出基于毕达哥拉斯模糊交叉影响集成算子的决策方法,并通过决策实例验证所提出方法的稳定性和有效性.
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| 关 键 词： | 毕达哥拉斯模糊数 交叉影响集成算子 毕达哥拉斯模糊交叉影响有序加权平均算子 毕达哥拉斯模糊交叉影响有序加权几何算子 |
Pythagorean fuzzy interaction aggregation operators and applications in decision making |
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| LIU Wei-feng,DU Ying-xue and CHANG Juan.Pythagorean fuzzy interaction aggregation operators and applications in decision making[J].Control and Decision,2017,32(6):1033-1040. |
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| Authors: | LIU Wei-feng DU Ying-xue and CHANG Juan |
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| Affiliation: | School of Science,Zhengzhou University of Aeronautics,Zhengzhou 450015,China,School of Science,Zhengzhou University of Aeronautics,Zhengzhou 450015,China and School of Science,Zhengzhou University of Aeronautics,Zhengzhou 450015,China |
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| Abstract: | The interaction operations over Pythagorean fuzzy numbers are defined, including addition, scalar multiplication, multiplication and power operations.Then, the Pythagorean fuzzy interaction weighted averaging (PFIWA) operator, Pythagorean fuzzy interaction ordered weighted averaging(PFIOWA) operator, Pythagorean fuzzy interaction weighted geometric(PFIWG) operator, and Pythagorean fuzzy interaction ordered weighted geometric (PFIOWG) operator are proposed, and the mathematical expressions of these operators are obtained by derivation and some properties of these operators are investigated. A method based on Pythagorean fuzzy interaction aggregation operators for decision making is presented, and an illustrative example is given to illustrate the stability and effectiveness of the proposed method. |
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