| 区间毕达哥拉斯模糊Heronian平均算子及其决策应用 |
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| 引用本文： | 李进军,包玉娥,李晨松.区间毕达哥拉斯模糊Heronian平均算子及其决策应用[J].模糊系统与数学,2019(4):134-148. |
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| 作者姓名： | 李进军 包玉娥 李晨松 |
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| 作者单位： | 内蒙古民族大学数学学院 |
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| 基金项目： | 国家自然科学基金资助项目(61663037) |
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| 摘 要： | 将Heronian平均算子推广至区间毕达哥拉斯模糊环境,定义了区间毕达哥拉斯模糊Heronian平均(IVPFHM)算子、区间毕达哥拉斯模糊加权Heronian平均(IVPFWHM)算子、区间毕达哥拉斯模糊几何Heronian平均(IVPFGHM)算子、区间毕达哥拉斯模糊几何加权Heronian平均(IVPFGWHM)算子,并研究了这些新集成算子的基本性质.最后,给出基于IVPFWHM算子和IVPFGWHM算子的多属性决策方法,并通过实例说明所提方法在区间毕达哥拉斯模糊信息集成中的合理性与优越性.
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| 关 键 词： | 区间毕达哥拉斯模糊数 区间毕达哥拉斯模糊Heronian平均算子 区间毕达哥拉斯模糊几何Heronian平均算子 多属性决策 |
Interval-valued Pythagorean Fuzzy Heronian Means Operators and Their Application in Decision Making |
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| LI Jin-jun,BAO Yu-e,LI Chen-song.Interval-valued Pythagorean Fuzzy Heronian Means Operators and Their Application in Decision Making[J].Fuzzy Systems and Mathematics,2019(4):134-148. |
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| Authors: | LI Jin-jun BAO Yu-e LI Chen-song |
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| Affiliation: | (College of Mathematics,Inner Mongolia University for Nationalities,Tongliao 028000,China) |
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| Abstract: | Heronian means operators are extended to interval-valued Pythagorean fuzzy Environment,and interval-valued Pythagorean fuzzy Heronian means(IVPFHM)operator,interval-valued Pythagorean fuzzy weighted Heronian means(IVPFWHM)operator,interval-valued Pythagorean fuzzy geometric Heronian means(IVPFGHM)operator,interval-valued Pythagorean fuzzy geometric weighted Heronian means(IVPFGWHM)operator are defined.And likewise,some fundamental properties of these new aggregation operators are studied.Finally,the method for multiple attribute decision making based on IVPFWHM operator and IVPFGWHM operator is developed,and a practical example is given to illustrate the rationality and superiority of the proposed method in interval valued Pythagorean fuzzy information aggregation. |
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| Keywords: | Interval-valued Pythagorean Fuzzy Number Interval-valued Pythagorean Fuzzy Heronian Means Operator Interval valued Pythagorean Fuzzy Geometric Heronian Means Operator Multiple Attribute Decision Making |
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