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.
作者
王钦
李晓萍
WANG Qin;LI Xiaoping(School of Management, Tianjin Normal University, Tianjin 300387, Chin)
出处
《黑龙江大学自然科学学报》
CAS
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)
