| 基于关联的三角模糊数直觉模糊集成算子及其应用 |
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| 引用本文： | 高岩,周德群,刘晨琛,章玲.基于关联的三角模糊数直觉模糊集成算子及其应用[J].系统工程理论与实践,2012,32(9):1964-1972. |
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| 作者姓名： | 高岩 周德群 刘晨琛 章玲 |
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| 作者单位： | 1. 山东大学 管理学院, 济南 250100;2. 南京航空航天大学 经济与管理学院, 南京 210016;3. 济宁医学院 信息工程学院, 济宁 272000 |
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| 基金项目： | 国家社会科学基金(10BTY031);国家自然科学基金(70873058,71101070);山东大学自主创新基金(2011CN024);中国博士后面上基金(2012M511043) |
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| 摘 要： | 针对三角模糊数直觉模糊信息下属性间存在关联使得已有集结算子失效的问题, 引入模糊测度的概念, 在三角直觉模糊数的运算法则基础上构建了基于关联的加权平均集成算子, 即三角模糊数直觉模糊关联有序加权平均R-TIOWA算子、三角模糊数直觉模糊关联加权几何平均R-TIWGA算子和三角模糊数直觉模糊关联有序加权几何平均R-TIOWGA算子, 探讨了上述算子的若干性质．并在此基础上构建一种属性值为三角模糊数直觉模糊数的多属性群决策方法．实例分析验证了该方法的可行性和有效性．
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| 关 键 词： | 三角模糊数直觉模糊集 运算法则 群决策 关联 |
| 收稿时间： | 2010-06-18 |
Triangular fuzzy number intuitionistic fuzzy aggregation operators and their application base on interaction |
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| GAO Yan
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ZHOU De-qun
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LIU Chen-chen
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ZHANG Ling.Triangular fuzzy number intuitionistic fuzzy aggregation operators and their application base on interaction[J].Systems Engineering —Theory & Practice,2012,32(9):1964-1972. |
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| Authors: | GAO Yan ZHOU De-qun LIU Chen-chen ZHANG Ling |
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| Institution: | 1. School of Management, Shandong University, Jinan 250100, China;2. College of Economics and Management, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China;3. College of Information and Engineering, Jining Medical University, Jining 272000, China |
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| Abstract: | Under triangular fuzzy number intuitionistic information,interaction exists among the decisionmaking attributes which makes the aggregation operators to lose effectiveness.For these problems,the definition of fuzzy measure is introduced and some operational laws of triangular fuzzy number intuitionistic fuzzy numbers are defined,based on which some new aggregation operators with interaction are developed,such as triangular fuzzy number intuitionistic fuzzy ordered weighted average operation with interaction(R-TPIOWA).triangular fuzzy number intuitionistic fuzzy weighted geometric average operation with interaction(R-TPIWGA) and triangular fuzzy number intuitionistic fuzzy ordered weighted geometric average operation with interaction(R-TPIOWGA).Finally,an approach for decision making with triangular fuzzy number intuitionistic fuzzy information is developed,and a practical example is provided to illustrate the developed approach and to verify its effectiveness. |
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| Keywords: | three-point interval number intuit ionistic fuzzy set operational laws group decision making interaction |
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