首页 | 本学科首页   官方微博 | 高级检索  
     检索      

梯形直觉模糊数集成算子及在决策中的应用研究
引用本文:刘培德,左甲.梯形直觉模糊数集成算子及在决策中的应用研究[J].模糊系统与数学,2012,26(3):127-138.
作者姓名:刘培德  左甲
作者单位:山东财经大学管理科学与工程学院,山东济南,250014
基金项目:教育部人文社会科学研究项目,山东省自然科学基金资助项目
摘    要:在直觉模糊集理论基础上,用梯形模糊数表示直觉模糊数的隶属度和非隶属度,进而提出了梯形直觉模糊数;然后定义了梯形直觉模糊数的运算法则,给出了相应的证明,并基于这些法则,给出了梯形直觉模糊加权算数平均算子(TIFWAA)、梯形直觉模糊数的加权二次平均算子(TIFWQA)、梯形直觉模糊数的有序加权二次平均算子(TIFOWQA)、梯形直觉模糊数的混合加权二次平均算子(TIFHQA)并研究了这些算子的性质;建立了不确定语言变量与梯形直觉模糊数的转化关系,并证明了转化的合理性;定义了梯形直觉模糊数的得分函数和精确函数,给出了梯形直觉模糊数大小比较方法;最后提供了一种基于梯形直觉模糊信息的决策方法,并通过实例结果证明了该方法的有效性。

关 键 词:梯形直觉模糊数  集成算子  多属性决策

Research on Trapezoid Intuitionistic Fuzzy Aggregation Operators and Their Application to Decision Making
LIU Pei-de , ZUO Jia.Research on Trapezoid Intuitionistic Fuzzy Aggregation Operators and Their Application to Decision Making[J].Fuzzy Systems and Mathematics,2012,26(3):127-138.
Authors:LIU Pei-de  ZUO Jia
Institution:(School of Management and Engineering,Shandong University of Finance and Economics,Jinan 250014,China)
Abstract:On the foundation of the theory of the intuitionistic fuzzy set,trapezoid intuitionistic fuzzy number is proposed by using the trapezoid fuzzy number to denote the membership degree and the non-membership degree of the intuitionistic fuzzy number.Then,some operational laws of trapezoid intuitionistic fuzzy numbers are defined and proved.Based on these operational laws,some aggregation operators,including trapezoid intuitionistic fuzzy weighted arithmetic aggregation operator(TIFWAA),trapezoid intuitionistic fuzzy weighted quadratic average operator(TIFWQA),trapezoid intuitionistic fuzzy ordered weighted quadratic average operator(TIFOWQA) and trapezoid intuitionistic fuzzy hybrid quadratic average operator(TIFHQA),are proposed,and the properties of these operators are presented.The transformation relations from uncertain linguistic variable to trapezoidal intuitionistic fuzzy number are established and the rationality of conversion is proved.The score function and accuracy function of trapezoid intuitionistic fuzzy number are defined,and based on these two functions,a method for ranking trapezoid intuitionistic fuzzy numbers is presented.Finally,an approach for decision making with trapezoid intuitionistic fuzzy information is developed,and an illustrative example shows the effectiveness of the proposed approach.
Keywords:Trapezoid Intuitionistic Fuzzy Number  Aggregation Operator  Decision Making
本文献已被 CNKI 万方数据 等数据库收录!
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号