将模糊数列的统计收敛和缺项统计收敛置于理想的框架下,提出和研究了模糊数列的理想统计收敛和理想缺项统计收敛的概念和相互关系,推广了前人的结果。同时,讨论了模糊数列统计收敛与理想统计收敛之间、以及模糊数列缺项统计收敛与理想缺项统计收敛之间的相互关系。
The concepts of the ideal statistical convergence and ideal lacunary statistical convergence for a sequence of fuzzy numbers are defined,and their relationship is also investigated.In addition,the relationship between statistical convergence(lacunary statistical convergence) and ideal statistical convergence(ideal lacunary statistical convergence) for a sequence of fuzzy numbers is discussed.