折线模糊数空间上模糊距离及其性质刻画  

Characterization on fuzzy distance and its property on the polygonal fuzzy number space

作　　者：王钦[1] 李晓萍[1] WANG Qin;LI Xiaoping(School of Management, Tianjin Normal University, Tianjin 300387, Chin)

机构地区：[1]天津师范大学管理学院,天津300387

出　　处：《黑龙江大学自然科学学报》2018年第1期26-31,共6页Journal of Natural Science of Heilongjiang University

基　　金：国家自然科学基金资助项目(61374009);天津市哲学社会科学基金重点项目(TJGL15-006)

摘　　要：折线模糊数是三角形或梯形模糊数的推广,可按任意精度近似地实现一般模糊数之间的非线性运算。基于传统模糊距离(度量)给出折线模糊数的简化模糊距离公式,讨论折线模糊数距离的相关性质;实例说明,折线模糊数的简化模糊距离公式确实可近似替代传统模糊距离。The polygonal fuzzy numbers not only can be regarded as a generalization of the triangular fuzzy number or trapezoidal fuzzy number,but also it can approximately realize the nonlinear operation between the general fuzzy numbers by arbitrary precision. Based on the traditional fuzzy distance（ metric）,a simplified fuzzy distance formula for the polygonal fuzzy number is given,and some properties of the polygonal fuzzy distance are discussed. Through an example analysis,it is shown that the simplified fuzzy distance formula of the polygonal fuzzy number can be used to approximate substitution the traditional fuzzy distance.

关 键 词：模糊数 折线模糊数 有序表示 模糊距离 HAUSDORFF距离 

分 类 号：O159[理学—数学]