摘要
将C-OWA算子推广至正态模糊数环境，定义正态模糊数有序加权平均（NFC-OWA）算子，提出一种正态模糊数大小比较的方法．在此基础上，鉴于一组正态模糊数信息的集成问题，提出OWNFC-OWA算子、OWGNFC-OWA算子和OWHNFC-OWA算子，并定义三种算子的统一形式（GOWNFC-OWA算子），研究其性质．针对属性信息以正态模糊数形式给出的多属性决策问题，提出基于GOWNFC-OWA算子的决策方法．最后通过实例分析，说明方法是可行且有效的．
The C-OWA operator is extended to the environment of normal fuzzy numbers. The NFC-OWA operator is defined, and the method of comparing the normal fuzzy numbers is given. On this basis, in view of the problem of information aggregation over a set of normal fuzzy numbers, several operators are proposed such as the OWNFC-OWA operator, OWGNFC-OWA operator, OWHNFC-OWA operator. And the GOWNFC-OWA operator is given as the unified form of these operator. The properties of these operators are studied. Aiming at the multi-attribute decision making problem, which the attribute values are given in the forms of normal fuzzy numbers, a decision method by using GOWNFC-OWA operator is proposed. Finally, an example is given to illustrate the feasibility and effectiveness of the proposed method.
作者
常娟
杜迎雪
刘卫锋
CHANG Juan;DU Ying-xue;LIU Wei-feng(School of Science, Zhengzhou University of Aeronautics, Zhengzhou 450046, Chin)
出处
《数学的实践与认识》
北大核心
2018年第11期118-125,共8页
Mathematics in Practice and Theory
基金
国家自然科学基金(11501525)
河南省高等学校重点科研项目(18A110032)
郑州航空工业管理学院青年科研基金(2016113003,2017113003)
