正规三角模糊数的一种排序方法  

A method for ranking symmetrical triangular fuzzy numbers

作　　者：潘花[1] 仇海全[1] 曹炳元[2] 

机构地区：[1]安徽科技学院理学院,安徽凤阳233100 [2]广州大学数学与信息科学学院,广东广州510006

出　　处：《西安工程大学学报》2009年第4期134-137,153,共5页Journal of Xi’an Polytechnic University

基　　金：国家自然科学基金资助项目(70771030);安徽科技学院项目(ZRC200696)

摘　　要：为简化正规三角模糊数的比较.通过分析Tanaka提出的模糊数比较的满意度函数,得到了2个正规三角模糊数比较的简便公式;指出了刘新旺提出的模糊数比较公式的局限性.给出了比较正规三角模糊数大小关系的满意度函数.该公式能够比较正规三角模糊数的大小,而且能够使计算简化.最后,通过数值例子说明了该方法的简洁性与有效性.To simplify the comparison of symmetrical triangular fuzzy numbers,through the analysis to the satisfactory degree function of fuzzy numbers presented by Tanak,a simple and convenient formula for comparing two symmetrical triangular fuzzy numbers is presented,and the limitation of the formula presented by Liu Xinwang is proved.A new satisfactoriness function for comparing symmetrical triangular fuzzy numbers is presented.The new method could effectively compare two symmetrical triangular fuzzy numbers,and also simplify the calculation. FinaUy, a numerical example is given to illustrate the simplicity and the effectiveness of the method.

关 键 词：模糊数 正规三角模糊数 满意度函数 排序方法 

分 类 号：O159[理学—数学]