摘要
运用单位区间上的自同构构造一种适用于勾股模糊环境下的同构Frank t-模与其对偶s-模,进而定义勾股模糊集的广义运算法则,并探究新法则的相关性质.应用新的运算法则提出勾股模糊Frank加权平均(PFFWA)算子与勾股模糊Frank加权几何(PFFWG)算子,证明算子的相关性质.利用PFFWA与PFFWG算子提出一种解决勾股模糊多属性决策问题的新方法.通过解决航空公司服务质量评估问题,对比分析新方法与现存的决策方法,进而表明新方法的可行性和灵活性,并验证了新方法具有反馈决策者态度特征的能力.
Based on the automorphism on the unit interval, an isomorphism Frank t-norm and its dual s-norm are created,which are applicable to Pythagorean fuzzy environment, and the generalized operational laws with respect to pythagorean fuzzy set（PFS） are defined and some properties of these laws are also investigated. Then, the Pythagorean fuzzy Frank weighted averaging（PFFWA） operator and Pythagorean fuzzy Frank weighted geometric（PFFWG） operator are proposed by using the new operational laws. Some desirable properties of these operators are proved. A new approach to solve the Pythagorean fuzzy multiple attribute decision making problem is developed by using the PFFWA and PFFWG operators.By solving the problem of airline service quality assessment, the proposed method is compared with existing methods.The analysis results demonstrate the feasibility and flexibility of the proposed method, and verify its ability to feedback the attitude of the decision maker.
作者
杨艺
李延来
丁恒
钱桂生
吕红霞
YANG Yi;LI Yan-lai;DING Heng;QIAN Gui-sheng;LYU Hong-xia(School of Transportation and Logistics,Southwest Jiaotong University,Chengdu 610031,China;Department of Systems Engineering and Engineering Management,City University of Hong Kong,Hong Kong 999077,China)
出处
《控制与决策》
EI
CSCD
北大核心
2018年第8期1471-1480,共10页
Control and Decision
基金
国家自然科学基金项目(71373222
71371156)
西南交通大学拔尖人才培育项目(A0520502051601-6)
