图片模糊聚合算子及其在多属性决策中的应用  

Picture fuzzy aggregation operators and their applicationto multi-attribute decision making

作　　者：龙慧丰 罗敏霞 LONG Huifeng;LUO Minxia(College of Sciences,China Jiliang University,Hangzhou 310018,China)

机构地区：[1]中国计量大学理学院,浙江杭州310018

出　　处：《中国计量大学学报》2020年第4期524-530,共7页Journal of China University of Metrology

基　　金：国家自然科学基金项目(No.61773019)。

摘　　要：目的:研究图片模糊Frank聚合算子。方法:首先提出了图片模糊聚合算子的公理化定义。其次,基于图片模糊可表示三角范数和Frank三角范数,提出了一些运算。基于提出的运算,构造了图片模糊Frank加权平均聚合算子和图片模糊Frank加权几何聚合算子。结果:提出的聚合算子满足公理化定义,克服了现有的聚合算子的缺陷。结论:我们应用提出的聚合算子到多属性决策问题中,实例表明本文提出的聚合算子更灵活,更可靠。Aims:This paper aims study the Frank aggregation operators for picture fuzzy sets.Methods:First,the axiomatic definition of the picture fuzzy aggregation operators was given.Some picture fuzzy operations were constructed based on picture fuzzy representable t-norm and Frank t-norm.By these operations,picture fuzzy Frank weighted averaging(PFFWA)aggregation operators and picture fuzzy Frank weighted geometric(PFFWG)aggregation operators were proposed.Results:The proposed aggregation operators satisfied the axiomatic definition and overcame the defects of existing aggregation operators.Conclusions:The proposed aggregation operators can be applied to solve the multi-attribute decision problem.The result of the example shows that the proposed aggregation operators are more reliable and flexible.

关 键 词：图片模糊集 Frank三角范数 聚合算子 

分 类 号：TB9[一般工业技术—计量学]