The goal of this paper is to introduce the concept of λ-statistical convergence of weight g of fuzzy numbers by using ideal. In addition to this concept, some inclusion theorems are also presented.
BalcerzakM., DasP., FilipczakM. and SwaczynaJ., Generalized kinds of density and the associated ideals, Acta Math Hungar147(1) (2015), 97–115.
2.
BhuniaS., DasP. and PalS., Restricting statistical convergenge, Acta Math Hungar134(1-2) (2012), 153–161.
3.
ColakR., Statistical convergence of order α, Modern Methods in Analysis and its Applications, New Delhi, India, Anamaya Pub. (2010), 121–129.
4.
ColakR. and BektasC.A., λ-statistical convergence of order α, Acta Math Sci Ser B Engl Ed31B(3) (2011), 953–959.
5.
DasP., Savaş E. and GhosalS.K., On generalizations of certain summability methods using ideals, Appl Math Lett24 (2011), 1509–1514.
6.
DiomandP. and KloedenP., Metric spaces of fuzzy sets, Fuzzy Sets and Systems33 (1989), 123–126.
7.
FastH., Sur la convergence statistique, Colloq Math2 (1951), 241–244.
8.
KostyrokoP., MacajM., ŠalátT. and SleziakM., I - convergence and extremal I-limit points, Math Slovaca55 (2005), 443–464.
9.
KwonJ.S. and ShimH.T., Remark on lacunary statistical convergence of fuzzy numbers, Fuzzy Sets and System123 (2001), 85–88.
10.
LahiriB.K. and DasP., I and I*-convergence in topological spaces, Math Bohem130 (2005), 153–160.
11.
LahiriB.K. and DasP., Further results on I-limit superior and limit inferior, Math Commun8(2) (2003), 151–156.
12.
MursaleenM., λ-statistical convergence, Math Slovaca50 (2000), 111–115.
13.
NurayF. and SavaşE., Statistical convergence of sequences of fuzzy numbers, Math Slovaca45(3) (1995), 269–273.
14.
QiuD., ZhangW. and LuC., On fuzzy differential equations in the quotient space of fuzzy numbers, Fuzzy Sets and Systems295 (2016), 72–98.
15.
QiuD., LuC., ZhangW. and LanY., Algebraic properties and topological properties of the quotient space of fuzzy numbers based on Mares equivalence relation, Fuzzy Sets and Systems245 (2014), 63–82.
16.
SavaşE., A note on double sequence of Fuzzy numbers, Turk J Math20 (1996), 175–178.
17.
SavaşE., On strongly λ— summable sequences of Fuzzy numbers, Information Sciences125 (2000), 181–186.
18.
SavaşE., On statistical convergent sequences of fuzzy numbers, Inform Sci137 (2001), 277–282.
19.
SavaşE. and MursaleenM., On statistically convergent double sequences of fuzzy numbers, Inform Sci162(3-4) (2004), 183–192.
20.
SavaşE., A note on sequence of Fuzzy numbers, Inform Sci124 (2000), 297–300.
21.
SavaşE., On Lacunary statistically convergent double sequences of fuzzy numbers, Appl Math Lett21, 134–141.
22.
SavaşE., (A)(Delta) - Double sequence spaces of fuzzy numbers via orlicz function, Iranian J Fuzzy systems8(2) (2011), 91–103Published: JUN.
23.
SavaşE., On fuzzy real-valued double A-sequence spaces defined by Orlicz function, Math Commun16(2) (2011), 609–619.
24.
SavaşE., On some double lacunary sequence spaces of fuzzy numbers, Math Comput Appl15(3) (2010), 439–448.
25.
SavaşE., New double sequence spaces of fuzzy numbers, Quaest Math33(4) (2010), 449–456.
26.
SavaşE., Iθ-statistical and p-Cesàro summability of sequences of fuzzy numbers J, Intell Fuzzy Systems30(5) (2016), 2805–2810.
27.
SavaşE. and OzturkM., λ-Statistical convergence of order ? in intuitionistic fuzzy n-normed spaces, Conference: ICIFSTA2016, At Beni Mellal, Morocco, Volume: 22, (2016).
28.
SavaşE., On I -lacunary statistical convergence of weight g of fuzzy numbers, J Intell Fuzzy Systems32(1) (2017), 1111–1117.
29.
SavaşE. and DasP., A generalized statistical convergence via ideals, Appl Math Lett24 (2011), 826–830.
30.
SchoenbergI.J., The integrability of certain functions and related summability methods, Amer Math Monthly66 (1959), 361–375.
