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论文:2020,Vol:38,Issue(6):1361-1369 |
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引用本文： |
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朱亚辉, 高逦. 基于Hamacher范数的广义概率犹豫模糊MULTIMOORA决策方法[J]. 西北工业大学学报 |
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ZHU Yahui, GAO Li. Decision Method of Probabilistic Hesitant Fuzzy Information Based on Hamacher Aggregation Operators and MULTIMOORA[J]. Northwestern polytechnical university |
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| 基于Hamacher范数的广义概率犹豫模糊MULTIMOORA决策方法 |
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| 朱亚辉1, 高逦2 |
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1. 陕西学前师范学院 数学与统计学院, 陕西 西安 710100;
2. 西北工业大学 计算机学院, 陕西 西安 710072 |
| 摘要: |
| 针对概率犹豫模糊多属性决策问题，提出了基于Hamacher范数的广义概率犹豫模糊MULTIMOORA决策方法。首先，定义概率犹豫模糊Hamacher运算，包括和、积、数乘、幂，并研究这些运算的性质；在此基础上，提出了概率犹豫模糊Hamacher加权平均算子和概率犹豫模糊Hamacher加权几何平均算子，并对其性质进行了研究；其次，采用MULTIMOORA方法从多个角度对方案进行选择和比较。最后，通过实例验证了决策方法的有效性和可行性。 |
| 关键词:
多属性决策
概率犹豫模糊
Hamacher算子
MULTIMOORA方法
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| Decision Method of Probabilistic Hesitant Fuzzy Information Based on Hamacher Aggregation Operators and MULTIMOORA |
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| ZHU Yahui1, GAO Li2 |
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1. School of Mathematics and Statistics, Shaanxi Xueqian Normal University, Xi'an 710100, China;
2. School of Computer Science, Northwestern Polytechnical University, Xi'an 710072, China |
| Abstract: |
| Aiming at solving the problem of probability hesitation fuzzy multi-attribute decision making, a new decision-making method of probability hesitation fuzzy multi-attribute is proposed in this paper, based on Hamacher operations and MULTIMOORA method. Firstly, probability hesitation fuzzy Hamacher operations are defined, including sum, product, scalar multiplication and exponentiation, and their properties are studied. On this basis, probability hesitation fuzzy Hamacher weighted average operator and probability hesitation fuzzy Hamacher weighted geometric average operator are proposed, and their properties are also studied. Secondly, alternative from multiple perspectives are chosen and compared by using the MULTIMOORA method. Finally, the effectiveness and feasibility of the decision-making method are verified by an example. |
| Key words:
multiple attribute decision making
probabilistic hesitant fuzzy
Hamacher operation
MULTMOORA method
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| 收稿日期: 2020-01-12
修回日期:
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| DOI: 10.1051/jnwpu/20203861361 |
| 基金项目: 陕西省教育厅科学研究计划（20JK0585）资助 |
| 通讯作者:
Email： |
| 作者简介: 朱亚辉(1981-),女,陕西学前师范学院讲师,主要从事决策分析研究。
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| 作者相关文章 |
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| 朱亚辉 在本刊中的所有文章 |
| 高逦 在本刊中的所有文章 |
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