본문 바로가기
KERD
논문KCI 등재

Some Aspects of λ-△m-Statistical Convergence on Neutrosophic Normed Spaces

0

조회

0

다운로드

0

인용

0

참고문헌

키워드

주제분류수학

초록

Neutrosophication is a useful tool for handling real-world problems with partially dependent, partially independent, and even independent components. By examining some properties related to λ-statistical convergence on neutrosophic normed spaces, we provide some functional tools that are helpful in situations of inconsistency and indeterminacy. Additionally, we establish some related results on λ-△m-statistical Cauchy sequences on neutrosophic normed spaces.

Abstract

Neutrosophication is a useful tool for handling real-world problems with partially dependent, partially independent, and even independent components. By examining some properties related to λ-statistical convergence on neutrosophic normed spaces, we provide some functional tools that are helpful in situations of inconsistency and indeterminacy. Additionally, we establish some related results on λ-△m-statistical Cauchy sequences on neutrosophic normed spaces.

참고문헌 (28)

  1. A. Alotaibi, "Generalized statistical convergence of difference sequences", Adv. Differ. Equ., 2013(1), pp.1~5 (2013)
  2. H. Altınok, "Statistical convergence of order β for generalized difference sequences of fuzzy numbers", J. Intell. Fuzzy Syst., 26(2), pp.847~856 (2014)
  3. R. Antal, "On △m-statistical convergence double sequences in intuitionistic fuzzy normed spaces", Proyecciones, 41(3), pp.697~713 (2022)
  4. P. Baliarsingh, "On statistical convergence of difference sequences of fractional order and related korovkin type approximation theorems", Quaest. Math., 41(8), pp.1117~1133 (2018)
  5. T. Bera, "On neutrosophic soft linear spaces", Fuzzy Inf. Eng., 9(3), pp.299~324 (2017)
  6. N. Demir, "Rough statistical convergence for difference sequences", Kragujevac. J. Math., 46(5), pp.733~742 (2022)
  7. A. Esi, "Generalized difference sequence spaces defined by Orlicz functions", Gen. Math., 17(2), pp.53~66 (2009)
  8. M. Et, "On some generalized difference sequence spaces", Soochow J. Math., 21(4), pp.377~386 (1995)
  9. M. Et, "△m-statistical convergence", Indian J. Pure Appl. Math., 32(6), pp.961~969 (2001)
  10. M. Et, "On (△m, I)-lacunary statistical convergence of order α", J. Math. Anal., 7(5), pp.78~84 (2016)
  11. J. A. Fridy, "On statistical convergence", Analysis, 5, pp.301~313 (1985)
  12. B. Hazarika, "Lacunary generalized difference statistical convergence in random 2-normed spaces", Proyecciones, 31(4), pp.373~390 (2012)
  13. V. A. Khan, "Some topological character of neutrosophic normed spaces", Neutrosophic Sets Syst., 47, pp.397~410 (2021)
  14. V. A. Khan, "Rough lacunary statistical convergence in neutrosophic normed spaces", J. Intell. Fuzzy Syst., 45(5), pp.7335~7351 (2023)
  15. M. Kirişci, "Neutrosophic metric spaces", Math. Sci., 14, pp.241~248 (2020)
  16. M. Kirişçi, "Neutrosophic normed spaces and statistical convergence", J. Anal., 28(4), pp.1059~1073 (2020)
  17. Ö. Kişi, "Ideal convergence of sequences in neutrosophic normed spaces", J. Intell. Fuzzy Syst., 41(2), pp.2581~2590 (2021)
  18. Ö. Kişi, "On triple difference sequences of real numbers in neutrosophic normed spaces", Commun. Adv. Math. Sci., 5(1), pp.35~45 (2022)
  19. H. Kizmaz, "On certain sequence spaces", Canad. Math. Bull., 24(2), pp.169~176 (1981)
  20. V. Kumar, "On Sλ-summability in neutrosophic soft normed linear spaces", Neutrosophic Sets Syst., 58(1), pp.556~571 (2023)
  21. S. A. Mohiuddine, "Some classes of ideal convergent sequences and generalized difference matrix operator", Filomat, 31(6), pp.1827~1834 (2017)
  22. M. Mursaleen, "λ-statistical convergence", Math. Slovaca, 50(1), pp.111~115 (2000)
  23. S. Omran, "Continuous and bounded operators on neutrosophic normed spaces", Neutrosophic Sets Syst., 46, pp.276~289 (2021)
  24. M. Sen, "Lacunary statistical and lacunary strongly convergence of generalized difference sequences in intuitionistic fuzzy normed linear spaces", Bol. Soc. Paran. Mat., 38(1), pp.117~129 (2020)
  25. F. Smarandache, "Neutrosophic set-a generalization of the intuitionistic fuzzy set", IEEE International Conference on Granular Computing, pp.38~42 (2006)
  26. B. C. Tripathy, "Lacunary statically convergent and lacunary strongly convergent generalized difference sequences of fuzzy real numbers", Kyungpook Math. J, 50(4), pp.565~574 (2010)
  27. H. Wang, "Single valued neutrosophic sets" (2010)
  28. J. Ye, "A multicriteria decision-making method using aggregation operators for simplified neutrosophic sets", J. Intell. Fuzzy Syst., 26(5), pp.2459~2466 (2014)

관련 논문AI추천

이 간행물의 다른 논문 (11건)