摘要
针对序列运算理论在实际应用中的多重不确定性问题,利用模糊理论的研究成果,将离散型模糊变量的基本概念予以拓展,分别提出与模糊集和与元素相对应的1维模糊性序列以及多维模糊性序列的定义,并且给出模糊性序列的基本性质与形成方法。在此基础上,考虑到多重不确定性的研究需要,提出概率模糊序列的定义及其隶属函数,并且研究概率模糊序列运算的计算方法和期望值。最后,利用算例说明所提出的模糊性序列及运算过程。
Multiple uncertainty is a problem that sequence operation theory is confronted with in its applications. Using the fuzzy theory, this paper presented the definition of one-dimensional fuzzy sequence corresponding to fuzzy sets and elements and multidimensional fuzzy sequence on the basis of extending the basic concept of the discrete fuzzy variables. The basic properties and formation method was consequently given. Then the definition and membership function of probabilistic fuzzy sequence was put forward to handle with the multiple uncertainty problems. The expected value and calculation method of probabilistic fuzzy sequence operation were also researched. At last, a case was shown to demonstrate the fuzzy sequences and fuzzy sequence operation.
出处
《中国电机工程学报》
EI
CSCD
北大核心
2011年第13期94-100,共7页
Proceedings of the CSEE
基金
国家自然科学基金项目(50777031)
新世纪优秀人才支持计划项目(NCET-07-0484)~~
