On paranorm intuitionistic fuzzy I-convergent sequence spaces defined by compact operator

Khan, et al.

International Journal of Advanced and Applied Sciences

Int. j. adv. appl. sci.

EISSN: 2313-3724

Print ISSN: 2313-626X

Volume 4, Issue 5 (May 2017), Pages: 138-143

Title: On paranorm intuitionistic fuzzy I-convergent sequence spaces defined by compact operator

Author(s): Vakeel A. Khan ¹, Yasmeen Khan ¹, Henna Altaf ¹, Ayhan Esi ^2,*, Ayaz Ahamd ³

Affiliation(s):

¹Department of Mathematics, Aligarh Muslim University, Aligarh-202002, India
²Department of Mathematics, Adiyaman University, Adiyaman, Turkey
³Department of Mathematics, National Institute of Technology, Patna, India

https://doi.org/10.21833/ijaas.2017.05.024

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Abstract:

The purpose of this paper is to introduce paranorm intuitionistic fuzzy I-convergent sequence spaces defined by compact operator and study the fuzzy topology on the said spaces. We defined more general type of paranorm intuitionistic fuzzy I-convergent sequence 𝑆_(𝜇,𝜈) ^𝐼 = (𝑇)(𝑝) and 𝑆_(0,𝜈) ^𝐼 = (𝑇)(𝑝) spaces by using compact operators. Moreover, we established some topological properties concerning with those spaces.

This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).

Keywords: I-convergence, Fuzzy set, Bounded linear operator, Compact linear operator, Paranorm

Article History: Received 29 December 2016, Received in revised form 19 March 2017, Accepted 23 March 2017

Digital Object Identifier:

https://doi.org/10.21833/ijaas.2017.05.024

Citation:

Khan VA, Yasmeen K, Altaf H, Esi A, and Ahamd A (2017). On paranorm intuitionistic fuzzy I-convergent sequence spaces defined by compact operator. International Journal of Advanced and Applied Sciences, 4(5): 138-143

http://www.science-gate.com/IJAAS/V4I5/Khan.html

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