In this paper, the concept of lacunary strongly p-Cesàro summable sequences of weight g for fuzzy numbers is introduced by using ideal. In addition to this concept, inclusion theorems are also presented. The study leaves some interesting open problems.
BalcerzakM., DasP., FilipczakM. and SwaczynaJ., Generalized kinds of density and the associated ideals, Acta Math Hungar147(1) (2015), 97–115.
2.
ColakR., Statistical convergence of order α, Modern methods in Analysis and its Applications, India, Anamaya Pub, (2010), 121–129New Delhi.
3.
ColakR. and BektasC.A., λ-statistical convergence of order α, Acta Math Scientia31B(3) (2011), 953–959.
4.
DasP. and SavaşsE., On I-statistical and I-lacunary statistical convergence of order alpha, Bull Iranian Soc40(2) (2014), 459–472.
5.
DasP. and SavaşsE. and GhosalKr.S., On generalized of certain summability methods using ideals, Appl Math Letter36 (2011), 1509–1514.
6.
DemsK., On I-Cauchy sequences, Real Anal Exchance30 (2005), 123–128.
7.
DiomandP. and KloedenP., Metric spaces of fuzzy sets, Fuzzy Sets and Systems33 (1989), 123–126.
8.
ZhanJ., AliM.I. and MehmoodN., On a novel uncertain soft set model: Z-soft fuzzy rough set model and corresponding decision making methods, Applied Soft Computing56 (2017), 446–457.
9.
KostyrkoP., ŠalátT. and WilczynkiW., I-convergence, Real Anal Exchange26(2) (2001), 669–685.
10.
KwonJ.S., On statistical and p-Cearo convergence of fuzzy numbers, Korean J of Comput and Appl Math7(1) (2000), 195–203.
11.
KwonJ.S. and ShimH.T., Remark on lacunary statistical convergence of fuzzy numbers, Fuzzy Sets and System123 (2001), 85–88.
12.
MatlokaM., Sequences of fuzzy numbers, Busefal28 (1986), 28–37.
13.
Mursaleen and BasarirM., On some new sequence spaces of fuzzy numbers, Indian Jour Pure Appl Math34(9) (2003), 1351–1357.
14.
NandaS., On sequences of fuzzy numbers, Fuzzy Sets and Systems33 (1989), 123–126.
15.
NurayF., Lacunary statistical convergence of sequences of fuzzy numbers, Fuzzy Sets and Systems45(3) (1998), 269–273.
16.
NurayF. and SavaşE., s, Statistical convergence of sequences of fuzzy numbers, Mathematica Slovaca99(3) (1994), 353–355.
17.
QiuD., ZhangW. and LuC., On fuzzy differential equations in the quotient space of fuzzy numbers, Fuzzy Sets and Systems295 (2016), 72–98.
18.
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.
19.
QiuD. and ZhangW., Symmetric fuzzy numbers and additive equivalence of fuzzy numbers, Soft Computing17 (2013), 1471–1477.
20.
SavaşsE., A note on double sequence of Fuzzy numbers, Turk J Math20 (1996), 175–178.
21.
SavaşsE., A note on sequence of Fuzzy numbers, Inform Sci124 (2000), 297–300.
22.
SavaşsE., On statistically convergent sequence of Fuzzy numbers, Inform Sci137 (2001), 272–282.
23.
SavaşsE., On strongly λ–summable sequences of fuzzy numbers, Inform Sci125 (2000), 181–186.
24.
SavasE. and MursaleenM., On statistically convergent double sequences of fuzzy numbers, Inform Sci162(3-4) (2004), 183–192.
25.
SavaşsE., On lacunary statistically convergent double sequences of fuzzy numbers, Appl Math Lett21 (2008), 134–141.
26.
SavaşsE., Δm-strongly summable sequences spaces in 2-Normed Spaces defined by Ideal convergence and an Orlicz function, App Math Comp217 (2010), 271–276.
27.
SavaşsE., DasP. and DuttaS., A note on strong matrix summability via ideals, Appl Math Letters25(4) (2012), 733–738.
28.
SavaşsE., (A)(Delta) - Double sequence spaces of fuzzy numbers via orlicz function, Iran J Fuzzy Syst8(2) (2011),91–103. Published: JUN.
29.
SavaşsE., On fuzzy real-valued double A-sequence spaces defined by Orlicz function, Math Commun16(2) (2011), 609–619.
30.
SavaşsE., On some double lacunary sequence spaces of fuzzy numbers, Math Comput Appl15(3) (2010), 439–448.
31.
SavaşsE., New double sequence spaces of fuzzy numbers, Quaest Math33(4) (2010), 449–456.