摘要
本文首先给出了定义在模糊数上的模糊值函数以及模糊值函数的连续和可导的定义。在此基础上给出了模糊值函数的连续、截集和可导的新概念,利用模糊数的分解定理和序关系讨论了模糊值函数导数的性态,得出了求模糊值函数的导数的基本法则。所得结论拓展了模糊数学的基本概念,丰富了模糊值函数导数的基本理论。
In this paper, the definition on the fuzzy number compound fuzzy-valued function and the complex fuzzy value function of the definition of continuous and derivative are given. Based on which it define are given a cut sets, derivative and analytics of fuzzy- valued function, and the differential of fuzzy-valued function are discussed by using resolution theorem of fuzzy function and order re- lation of fuzzy function, the basic law of fuzzy-valued function differential are proved, The conclusions extend the basic concepts ol fuzzy mathematics, and enrich the basic theory of complex fuzzy-valued function series.
出处
《重庆师范大学学报（自然科学版）》
CAS
CSCD
北大核心
2015年第2期72-75,共4页
Journal of Chongqing Normal University:Natural Science
基金
山西省教育科技开发项目(No.20121111)
忻州师范学院自然科学基金(No.QN201406)
关键词
模糊值函数
模糊值函数的截集
导数
连续
complex fuzzy-valued function
cut sets of fuzzy-valued function
differential
continuity
