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Certain spaces of sequences of fuzzy numbers defined by a modulus function

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Języki publikacji
EN
Abstrakty
EN
The main purpose of the present paper is to introduce the spaces l infinity (F, f), c(F, f), co(F, f) and lp(F, f, s) of sequences of fuzzy numbers defined by a modulus function. Furthermore, some inclusion theorems related to these sets are given and shown that l infinity(Ff), co F,f) and Lp(FJ,s) are solid.
Wydawca
Rocznik
Strony
139--149
Opis fizyczny
Bibliogr. 15 poz.
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Bibliografia
  • [1] Y. Altın, M. Et, R. Çolak, Lacunary statistical and lacunary strongly convergence of generalized difference sequences of fuzzy numbers, Comput. Math. Appl. 52 (2006), 1011-1020.
  • [2] F. Başar, B. Altay, On the space of sequences of p-bounded variation and related matrix mappings, Ukrainian Math. J. 55 (1) (2003), 136-147.
  • [3] P. Diamond, P. Kloeden, Metric spaces of fuzzy sets, Fuzzy Sets Syst. 35 (1990), 241-249.
  • [4] I. J. Maddox, Sequence spaces defined by a modulus, Math. Proc. Camb. Phil. Soc. 100 (1986), 161-166.
  • [5] M. Matloka, Sequences of fuzzy numbers, BUSEFAL 28 (1986), 28-37.
  • [6] M. Mursaleen, M. Başarir, On some new sequence spaces of fuzzy numbers, Indian J. Pure Appl. Math. 34 (9) (2003), 1351-1357.
  • [7] H. Nakano, Concave modulars, J. Math. Soc. Japan 5 (1953), 29-49.
  • [8] S. Nanda, On sequences of fuzzy numbers, Fuzzy Sets Syst. 33 (1989), 123-126.
  • [9] M. S. El Naschie, A review of ε(∞) theory and the mass spectrum of high energy particle physics, Chaos, Solitons & Fractals 19 (1) (2004), 209-236.
  • [10] F. Nuray, E. Savaş, Statistical convergence of sequences of fuzzy numbers, Math. Slovaca 45 (3) (1995), 269-273.
  • [11] B. Sarma, On a class of sequences of fuzzy numbers defined by modulus function, Internat. J. Sci. Technol. 2 (1) (2007), 25-28.
  • [12] Ö. Talo, F. Başar, On the space bvp(F)of sequences of p-bounded variation of fuzzy numbers, Acta Math. Sin. Eng. 24 (7) (2008), 1205-1212.
  • [13] Ö. Talo, F. Başar, Determination of the duals of classical sets of sequences of fuzzy numbers and related matrix transformations, Comput. Math. Appl. 58 (2009), 717-733.
  • [14] Ö. Talo, F. Başar, Quasilinearity of the classical sets of sequences of the fuzzy numbers and some applications, Taiwanese J. Math. 13 (2009), to appear.
  • [15] L. A. Zadeh, Fuzzy sets, Inform. & Control 8 (1965), 338-353.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-PWA5-0027-0033
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