Some characterizations on weighted \(\beta \gamma \) -statistical convergence of fuzzy functions of order 详细信息    查看全文

• 作者：Sarita Ojha ; P. D. Srivastava
• 关键词：Sequences of fuzzy numbers ; Fuzzy function ; Weighted statistical convergence
• 刊名：Journal of Applied Mathematics and Computing
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：53
• 期：1-2
• 页码：571-582
• 全文大小：
• 刊物类别：Mathematics and Statistics
• 刊物主题：Computational Mathematics and Numerical Analysis; Appl.Mathematics/Computational Methods of Engineering; Theory of Computation; Mathematics of Computing;
• 出版者：Springer Berlin Heidelberg
• ISSN：1865-2085
• 卷排序：53

文摘

Based on the concept of new type of statistical convergence defined by Aktuglu (J Comput Appl Math 259:174–181, 2014), we have introduced the weighted \(\beta \gamma \)-statistical convergence of order \(\theta \) in case of fuzzy functions and classified it into pointwise, uniform and equi-statistical convergence. We have checked some basic properties and then the convergence are investigated in terms of their \(\alpha \)-cuts. The interrelation among them are also established. We have also proved that continuity, boundedness etc are preserved in the equi-statistical sense under some suitable conditions, but not in pointwise sense.