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区间毕达哥拉斯模糊Heronian平均算子及其决策应用

Interval-valued Pythagorean Fuzzy Heronian Means Operators and Their Application in Decision Making

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【作者】 李进军包玉娥李晨松

【Author】 LI Jin-jun;BAO Yu-e;LI Chen-song;College of Mathematics,Inner Mongolia University for Nationalities;

【机构】 内蒙古民族大学数学学院

【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。

【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.

【基金】 国家自然科学基金资助项目(61663037)
  • 【文献出处】 模糊系统与数学 ,Fuzzy Systems and Mathematics , 编辑部邮箱 ,2019年04期
  • 【分类号】O159;O225
  • 【被引频次】1
  • 【下载频次】121
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