学术论文

      基于Zhenyuan积分的直觉模糊多属性决策方法

      Method based on Zhenyuan integral for intuitionistic fuzzy multiple attribute decision making

      摘要:
      针对属性之间具有相互关联关系的直觉模糊多属性决策问题,提出一种基于Zhenyuan积分的决策方法.首先提出直觉模糊Zhenyuan积分平均(IFZA)算子;然后探讨IFZA算子的优良性质以及与现有直觉模糊集成算子的关系,研究表明,IFZA算子可以改进现有直觉模糊奇异积分算子的缺陷,能够全面度量属性之间的相互关联关系;最后提出一种基于IFZA算子的属性间具有相互关联关系的直觉模糊多属性决策方法,并通过实例验证所提出方法的有效性和可行性.
      Abstract:
      With regard to intuitionistic fuzzy multiple attribute decision making with interaction between attributes, a method based on the Zhenyuan integral is presented. The intuitionistic fuzzy Zhenyuan averaging(IFZA) operator is developed, and some of its desirable properties are studied. The research shows that the IFZA operator can fully consider the importance of interactions among different attributes and improve the intuitionistic fuzzy Choquet integral operator. Finally, a method based on the IFZA for intuitionistic fuzzy multiple attribute decision making is introduced, and a numerical example is provided to illustrate the effectiveness and applicability of the presented method.
      作者: 曾守桢 [1] 穆志民 [2]
      Author: ZENG Shou-zhen [1] MU Zhi-min [2]
      作者单位: 宁波大学商学院,浙江宁波,315211 天津农学院基础科学学院,天津,300384
      刊 名: 控制与决策 ISTICEIPKU
      年,卷(期): 2018, 33(3)
      分类号: C943
      在线出版日期: 2018年3月19日
      基金项目: 国家自然科学基金项目,浙江省自然科学基金项目,教育部人文社科基金项目 ,国家统计局科学研究项目