| 基于交叉影响的IFWGA算子及其在多属性决策中的应用 |
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| 引用本文： | 何迎东,邹委员,陈华友,周礼刚.基于交叉影响的IFWGA算子及其在多属性决策中的应用[J].数学的实践与认识,2013,43(6). |
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| 作者姓名： | 何迎东 邹委员 陈华友 周礼刚 |
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| 作者单位： | 安徽大学数学科学学院,安徽合肥,230601 |
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| 基金项目： | 国家自然科学基金，安徽省高等学校自然科学基金，安徽大学学术创新团队资助，安徽大学大学生创新创业项目 |
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| 摘 要： | 不同直觉模糊数在信息集结过程中,其隶属度与非隶属度之间可能存在着相互影响.提出了直觉模糊数上的改进的乘法运算和幂运算,重新给出了直觉模糊加权几何平均算子和直觉模糊有序加权几何平均算子的表达式,并研究了他们的一些性质.最后通过实例说明了新的IFWGA集成算子在多属性决策中的应用是可行和有效的.
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| 关 键 词： | 直觉模糊数 运算法则 加权几何平均算子 有序加权几何平均算子 |
The Intuitionistic Fuzzy Weighted Geometric Aggregation (IFWGA) Operator Based on Interactions and Its Application to the Multiple Attributes Decision Making |
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| HE Ying-dong
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ZOU Wei-yuan
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CHEN Hua-you
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ZHOU Li-gang.The Intuitionistic Fuzzy Weighted Geometric Aggregation (IFWGA) Operator Based on Interactions and Its Application to the Multiple Attributes Decision Making[J].Mathematics in Practice and Theory,2013,43(6). |
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| Authors: | HE Ying-dong ZOU Wei-yuan CHEN Hua-you ZHOU Li-gang |
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| Abstract: | There may also exisit some interactions between membership function and nonmembership function in the process of aggregating different intuitionistic fuzzy numbers,we propose the improved operations laws over intuitionistic fuzzy numbers,including multiplication and power operation.Based on which,we present the intuitionistic fuzzy weighted geometric aggregation(IFWGA) operator and the intuitionistic fuzzy ordered weighted geometric aggregation(IFOWGA) operator.Moreover,the corresponding expressions are given, and the properties of these operators are investigated.Finally,an example shows the feasibility and validity of the new operators in the application of multiple attributes decision making. |
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| Keywords: | intuitionistic fuzzy number operations laws weighted geometric average operator ordered weighted geometric average operator |
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