In this paper, our aim is to introduce and study some new spaces of lacunary - convergence for sequence of fuzzy real number which are defined by compact operator (T) on the real space . i.e.,
and examine some basic properties and prove some inclusions relation on these spaces.
KhanV.A., FatimaH., EsiA., AbdullahS.A.A. and AlshloolK.M.A.S., On some new i-convergent double sequence spaces defined by a compact operator, International Journal of Advanced and Applied Sciences4(4) (2017), 43–48.
4.
KhanV.A., ShafiqM., RababahR.K.A. and EsiA., On some i- convergent sequence spaces de ned by a compact operator, Annals of the University of Craiova-Mathematics and Computer Science Series43(2) (2016), 141–150.
5.
KhanV.A., RababahR.K.A., EsiA., AbdullahS.A.A. and AlshloolK.M.A.S., Some new spaces of ideal convergent double sequences by using compact operator, Journal of Applied Sciences17(9) (2017), 467–474.
6.
KostyrkoP., WilczyńskiW. and ŠalátT., I-convergence, Real Analysis Exchange26(2) (2000), 669–686.
7.
KreyszigE.Introductory functional analysis with applications, volume 1. WileyNew York, 1978.
8.
KumarV. and KumarK., On the ideal convergence of sequences of fuzzy numbers, Information Sciences178(24) (2008), 4670–4678.
9.
MatlokaM., Sequences of fuzzy numbers, Busefal28(1) (1986), 28–37.
10.
NandaS., On sequences of fuzzy numbers, Fuzzy Sets and Systems33(1) (1989), 123–126.
11.
NurayF. and SavaşE., Statistical convergence of sequences of fuzzy numbers, Mathematica Slovaca45(3) (1995), 269–273.
12.
ŠalátT., TripathyB.C. and
ZimanM., On some properties of i-convergence, Tatra Mt Math Publ28(2) (2004), 274–286.
13.
SavaşsE, A note on sequence of fuzzy numbers, Information Sciences124(1–4) (2000), 297–300.
14.
TripathyB.K. and NandaS., Absolute value of fuzzy real numbers and fuzzy sequence spaces, Journal of Fuzzy Mathematics8(4) (2000), 883–892.
15.
ZadehL.A., Fuzzy sets, Information and control8(3) (1965), 338–353.
