[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/CKMS.c200026

SOME RESULTS ON p-DISTANCE AND SEQUENCE OF COMPLEX UNCERTAIN VARIABLES

Roy, Santanu (Department of Mathematics National Institute of Technology Silchar)
Saha, Sangeeta (Department of Mathematics National Institute of Technology Silchar)
Tripathy, Binod Chandra (Department of Mathematics Tripura University)

Publication Information

Communications of the Korean Mathematical Society / v.35, no.3, 2020 , pp. 907-916 More about this Journal

Abstract

In this paper, we introduce the notion of p-distance in a complex uncertain sequence space. By using the concepts of p-distance, we give some theorems of convergence. Also, in a complex uncertain sequence space, we develope some properties on convergence in measure.

Keywords

Complex uncertain variables; p-distance convergent; convergence in measure;

Citations & Related Records

Reference

1	X. Chen, Y. Ning, and X. Wang, Convergence of complex uncertain sequences, J. Intell. Fuzzy Syst. 30 (2016), no.6, 3357-3366. DOI
2	D. Datta and B. C Tripathy, Convergence of complex uncertain double sequences, New Math. Nat. Comput. (2020), (In Press).
3	B. Liu, Uncertainty Theory, 5th Ed., Springer-Verlag, Berlin, (2016).
4	Y. Liu and M. Ha, Expected value of function of uncertain variables, J. Uncertain Syst. 4 (2010), no. 3, 181-186.
5	P. K. Nath and B. C. Tripathy, Convergent complex uncertain sequences defined by Orlicz function, Ann. Univ. Craiova-Mat. Comput. Sci. Ser. 46 (2019), no. 1, 139-149. https://doi.org/10.1007/s41980-019-00247-x
6	P. K. Nath and B. C. Tripathy, Statistical convergence of complex uncertain sequences defined by Orlicz function, Proyecciones J. Math. 39 (2020), no. 2, 301-315. DOI
7	Z. X. Peng, Complex uncertain variable, Doctoral Dissertation, Tsinghua University, 2012.
8	S. Saha, B. C. Tripathy, and S. Roy, On almost convergent of complex uncertain sequences, New Math. Nat. Comput. (2020), (In Press).
9	B. C. Tripathy and P. J. Dowari, Norlund and Riesz mean of sequence of complex uncertain variables, Filomat 32 (2018), no. 8, 2875-2881. https://doi.org/10.2298/fil1808875t DOI
10	B. C. Tripathy and P. K. Nath, Statistical convergence of complex uncertain sequences, New Math. Nat. Comput. 13 (2017), no. 3, 359-374. https://doi.org/10.1142/S1793005717500090 DOI
11	C. You, On the convergence of uncertain sequences, Math. Comput. Modelling 49 (2009), no. 3-4, 482-487. https://doi.org/10.1016/j.mcm.2008.07.007 DOI
12	C. You and L. Yan, The p-distance of uncertain variables, J. Intell. Fuzzy Syst. 32 (2017), no. 1, 999-1006. DOI
13	C. You and L. Yan, Relationships among convergence concepts of uncertain sequences, Comput. Model. New Technol. 20 (2016), no. 3, 12-16.