New type of generalized difference sequence of fuzyy numbers involving lacunary sequences

Article type: Research Article

Authors: Et, Mikail^{a; b} | Braha, Naim L.^c | Altınok, Hıfsı^{a; *}

Affiliations: [a] Department of Mathematics, Fırat University, Elazıg, Turkey | [b] Department of Mathematics, Siirt University, Siirt, Turkey | [c] Department of Mathematics and Computer Sciences, Avenue “Mother Theresa”, Prishtinë, Kosova

Correspondence: [*] Corresponding author. Hıfsı Altınok, Department of Mathematics, Fırat University 23119, Elazıg, Turkey. Tel.: +90 505 225 2992; Fax: +90 424 233 0062 E-mail: hifsialtinok@yahoo.com.

Abstract: In this paper, we introduce a new type of almost statistical convergence of generalized difference sequences of fuzzy numbers involving lacunary sequences. We give the relations between the lacunary strongly almost Cesàro type convergence and lacunary almost statistical convergence. Furthermore, we study some of their properties like completeness, solidity, symmetricity etc. We also give some inclusion relations related to these classes.

Keywords: Almost statistical convergence, difference sequence, fuzzy numbers, solidness, symmetricity, convergence free, AMS Mathematical Subject Classification: 40A05; 40A25; 40A30; 40C05; 03E72

DOI: 10.3233/IFS-151669

Journal: Journal of Intelligent & Fuzzy Systems, vol. 29, no. 5, pp. 1913-1921, 2015