Some fuzzy anti λ-ideal convergent double sequence spaces

Article type: Research Article

Authors: Khan, Vakeel A.^{a; *} | Fatima, Hira^a | Ahmad, Ayaz^b | Idrisi, Mohd Imran^a

Affiliations: [a] Department of Mathematics, Aligarh Muslim University, Aligarh, India | [b] Department of Mathematics, National Institute of Technology, Patna, India

Correspondence: [*] Corresponding author. Vakeel A. Khan, Department of Mathematics, Aligarh Muslim University, Aligarh–202002, India. E-mail: vakhanmaths@gmail.com.

Abstract:  The concept of fuzzy sets was introduced by Zadeh as a means of representing data that was not precise but rather fuzzy. Recently, Ko cˇ inac [12] studied some topological properties of fuzzy antinormed linear spaces. This has motivated us to introduce and study the fuzzy antinormed double sequence spaces with respect to ideal by using a compact linear operator and prove some theorems, in particular convergence and completeness theorems on these new double sequence spaces.

Keywords: Ideal, filter, I-convergence, fuzzy antinormed space

DOI: 10.3233/JIFS-182575

Journal: Journal of Intelligent & Fuzzy Systems, vol. 38, no. 2, pp. 1617-1622, 2020