区间毕达哥拉斯犹豫模糊Heronian信息集成算子及其在多属性决策中的应用

Interval Pythagorean Hesitating Fuzzy Heronian Information Integration Operator and Their Application to Multi-Attribute Decision Making

摘要: 针对区间毕达哥拉斯犹豫模糊环境下的变量隶属度、非隶属度和属性的关联性融合问题，本文创新地将Heronian信息集成算子与区间毕达哥拉斯犹豫模糊数结合，定义了区间毕达哥拉斯犹豫模糊Heronian加权平均算子(IVPHFHWM)和区间毕达哥拉斯犹豫模糊Heronian几何加权算子(IVPHFGHWM)，研究了IVPHFHWM算子和IVPHFGHWM算子的置换不变性、单调性、有界性。然后，针对属性值为区间毕达哥拉斯犹豫模糊数的多属性问题，建立了基于区间毕达哥拉斯犹豫模糊Heronian加权算子的多属性决策模型，给出了一种综合的区间毕达哥拉斯犹豫模糊数的多属性决策方法。最后，通过多属性决策实例说明了Heronian信息集成算子在区间毕达哥拉斯犹豫模糊环境中的可行性和优越性。

Abstract: For the correlation fusion of variable membership, non-membership and attribute in the interval Pythagorean hesitant fuzzy environment, this paper innovatively combined the Heronian infor-mation integration operator with the interval Pythagorean hesitant fuzzy number. Interval Pythag-orean hesitant Fuzzy Heronian weighted mean operators (IVPHFHWM) and interval Pythagorean hesitant Fuzzy Heronian geometric weighted mean operators (IVPHFGHWM) are defined, and study the permutation invariance, monotonicity and boundedness of these operators. Then, establish a multi-attribute decision making model based on interval Pythagorean hesitant fuzzy Heronian weighting operator for multi-attribute problems with interval Pythagorean hesitant fuzzy number, and give a comprehensive multi-attribute decision making method. Finally, an example of mul-ti-attribute decision making is given to illustrate the feasibility and rationality of the method.