Ir al contenido

Documat


Some remarks on summability defined by invariant mean in intuitionistic fuzzy 2-normed spaces

  • Aslam, Sumaira [1] ; Kumar, Vijay [1] ; Sharma, Archana [1]
    1. [1] Chandigarh University

      Chandigarh University

      India

  • Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 43, Nº. 2, 2024, págs. 345-363
  • Idioma: inglés
  • DOI: 10.22199/issn.0717-6279-5904
  • Enlaces
  • Resumen
    • In present paper, we aim to define a new summability method using σ-mean called σ-statistical summability in an intuitionistic fuzzy 2- normed space (briefly IF2NS). We also define σ-statistical cauchy sequence in an IF2NS and study some of their properties. We display example that shows our method of summability is more stronger in these spaces.

  • Referencias bibliográficas
    • A.L. Fradkov, R.J. Evans, Control of chaos: Methods and applications in engineering, Chaos Solitons Fractals, 2005 vol. 29, pp. 33–56.
    • B. Schweizer, A. Sklar, Statistical metric spaces. Pacific J Math, 1960, vol. 10, pp. 313–34.
    • D. Coker An introduction to intuitionistic topological spaces, BUSE- FAL, 2000, vol. 81, pp. 51–56.
    • E. SAVAS, Some sequence spaces involving invariant means, Indian J. Math, 1989, vol. 31, pp. 1-8.
    • E. SAVAS, F.Nuray, On σ-Statistically convergence and lacunary σ- statistically convergence, Math. Slovaca,1993 vol. 43, no. 3, pp. 309- 315.
    • E. Savas ̧, On generalized statistical convergence in random 2-normed space, IJST. A4, 417-423 (2012).
    • E. Szmidt, J. Kacprzyk, Distances between intuitionistic fuzzy Sets, Fuzzy Sets and Systems, 2000, vol. 114 no. 3, pp. 505-518.
    • E. Szmidt, J. Kacprzyk, Intuitionistic fuzzy sets in some medical applications, Note on IFS, 2001, vol. 7, no. 4, pp. 58-64.
    • H. Fast, Sur la convergence statistique, In Colloquium mathematicae, 1951 vol. 2, no. (3-4), pp. 241-244.
    • I.J.Schoenberg, The integrability of certain functions and related summability methods, The American mathematical monthly, 1959, vol. 66,...
    • I.J. Maddox, Statistical convergence in a locally convex space, In Mathematical Proceedings of the Cambridge Philosophical Society, 1988,...
    • J. A. Fridy, On statistical convergence, Analysis, 1985, vol. 5, no. 4, pp. 301-314.
    • J. Connor, The statistical and strong p-Cesaro convergence of sequences, Analysis, 1988, vol. 8, no. (1-2), pp. 47-64.
    • J. Madore, Fuzzy physics, Ann. Phys, 1992, vol. 219, pp. 187–198. 12
    • K.T. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 1986, vol. 20, no. (1), pp. 87–96.
    • K.T. Atanassov, New operations defined over intuitionistic fuzzy sets, Fuzzy Sets and Systems, 1994, vol. 61, no. 2, pp. 137-142.
    • L.C. Barros, R.C. Bassanezi, P.A. Tonelli, Fuzzy modelling in population dynamics, Ecol. Model, 2000, vol. 128 pp. 27–33.
    • L. Hong, J.Q. Sun, Bifurcations of fuzzy nonlinear dynamical systems, Commun. Nonlinear Sci. Numer. Simul, 2006, vol. 1, pp. 1–12.
    • L.A. Zadeh, Fuzzy sets, Inf. Control, 1965, vol. 8, pp. 338–353.
    • M.MURSALEEN, Invariant means and some matrix transformations, Tamkang J. Math, 1979, vol. 10, pp. 183-188.
    • M. Mursaleen, Statistical convergence in random 2-normed spaces, Acta Sci. Math. (Szeged), 76, 101-109 (2010).
    • M. Mursaleen, S. A. Mohiuddine, Statistical convergence of double sequences in intuitionistic fuzzy normed spaces. Chaos, Solitons & Frac-...
    • P. Schaefer, Infinite matrices and invariant means, Proc. Amer. Math. Soc, 1972, vol. 36, pp. 104-110.
    • R. Saadati, S. Mansour Vaezpour, Yeol J. Cho, Quicksort algorithm: Application of a fixed point theorem in intuitionistic fuzzy quasi-metric...
    • R. Giles, A computer program for fuzzy reasoning, Fuzzy Sets and System, 1980, vol. 4, pp. 221–234.
    • R. Saadati, J.H. Park, On the intuitionistic fuzzy topological spaces, Chaos Solitons Fractals, 2006, vol. 27, pp. 331–344.
    • S. Pehlivan, M.A. Mamedov, Statistical Cluster points and turnpike, Optimization, 2000, vol. 48(1) pp. 91-106.
    • S. K. De, R. Biswas, A.R. Roy, An application of intuitionistic fuzzy sets in medical diagnostic, Fuzzy sets and systems, 2001, vol. 117 (2),...
    • S.A. Mohiuddine, Q.M. D. Lohani, On generalized statistical convergence in intuitionistic fuzzy normed space, Chaos, Solitons and Fractals,...
    • S. Karakus, K. Demirci, O. Duman, Statistical convergence on intuitionistic fuzzy normed spaces. Chaos Solitons & fractals, 2008, vol....
    • S. GAHLER , 2-metrische R ̈aume und ihre topologeische Struktur, Math. Nachr., 26 (1963), 115–148.
    • T. Sˇal ́at, On statistically convergent sequences of real numbers, Mathematica slovaca, 1980, vol. 30(2) pp. 139-150.
    • V. Kumar, M. Mursaleen, on (λ, μ)-statistical convergence of double sequences on intuitionistic fuzzy normed spaces, filomat, 2011, vol. 25(2),...

Fundación Dialnet

Mi Documat

Opciones de artículo

Opciones de compartir

Opciones de entorno