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Bulanık Yıldız-Şekilli Sayıların I-İstatistiksel Yakınsak Dizi Uzayları

Yıl 2022, Sayı: 34, 778 - 782, 31.03.2022

Ömer Kişi , Erhan Güler

https://doi.org/10.31590/ejosat.1085791

Öz

Bu çalışmada, bulanık yıldız-şekilli sayıların I-istatistiksel yakınsaklığını elde ettik. Elde edilen yeni dizi uzaylarının bazı topolojik ve cebirsel özelliklerini inceledik. Bu yeni kavramların önemli örneklerini ortaya koyduk.

Anahtar Kelimeler

I-yakınsaklık Bulanık yıldız-şekilli sayılar L_p-uzayı

Kaynakça

  • Diamond, P. (1990). A note on fuzzy star-shaped fuzzy sets. Fuzzy Sets Syst., 37(2), 193-199.
  • Diamond, P., & Kloeden, P. (1989). Characterization of compact subsets of fuzzy sets. Fuzzy Sets Syst., 29(3), 341–348.
  • Diamond, P., & Kloeden, P. (1990). Metric spaces of fuzzy sets. Fuzzy Sets Syst., 35(2), 241-249.
  • Khan, V.A., Kara, E.E., Tuba, U., Alshlool, K.M.A.S., & Ahmad, A. (2021). Sequences of fuzzy star-shaped numbers. J. Math. Comput. Sci., 23(4), 321-327.
  • Khan, V.A., Tuba, U., Ashadul Rahaman, SK., & Ahmad, A. (2021). Ideal convergent sequence spaces of fuzzy star–shaped numbers. J. Intell. Fuzzy Syst., 40, 11355-11362. https://doi.org/10.3233/JIFS-202534
  • Kostyrko, P., Macaj, M., Salat, T., & Sleziak, M. (2005). I-convergence and extremal I -limit points. Math. Slov., 4, 443-464.
  • Kostyrko, P., Salat, T., & Wilczynski, W. (2000/2001). I-convergence. Real Anal. Exchange, 26(2), 669-686.
  • Kumar, V., & Kumar, K. (2008). On the ideal convergence of sequences of fuzzy numbers. Inf. Sci., 178(24), 4670-4678.
  • Salat, T., Tripathy, B., & Ziman, M. (2004). On some properties of I-convergence. Tatra. Mt. Math. Publ., 28, 279-286.
  • Savaş, E., & Das, P. (2011). A generalized statistical convergence via ideals. App. Math. Lett., 24, 826-830.
  • Zadeh, L. A. (1965). Fuzzy sets. Inf. Control., 8(3), 338-353.
  • Zhao, Z., & Wu, C. (2013). A characterization for compact sets in the space of fuzzy star-shaped numbers with metric. Abstr. Appl. Anal., 2013, Article ID: 627314. https://doi.org/10.1155/2013/627314

I-Statistical Convergent Sequence Spaces of Fuzzy Star–Shaped Numbers

Yıl 2022, Sayı: 34, 778 - 782, 31.03.2022

Ömer Kişi , Erhan Güler

https://doi.org/10.31590/ejosat.1085791

Öz

In this study, we acquire I-statistical convergence of sequences of fuzzy star–shaped numbers. We examine topological and algebraic features of the obtained new sequence spaces. We put forward to significant examples of these new notions.

Anahtar Kelimeler

I-convergence Fuzzy star-shaped numbers L_p-space

Kaynakça

  • Diamond, P. (1990). A note on fuzzy star-shaped fuzzy sets. Fuzzy Sets Syst., 37(2), 193-199.
  • Diamond, P., & Kloeden, P. (1989). Characterization of compact subsets of fuzzy sets. Fuzzy Sets Syst., 29(3), 341–348.
  • Diamond, P., & Kloeden, P. (1990). Metric spaces of fuzzy sets. Fuzzy Sets Syst., 35(2), 241-249.
  • Khan, V.A., Kara, E.E., Tuba, U., Alshlool, K.M.A.S., & Ahmad, A. (2021). Sequences of fuzzy star-shaped numbers. J. Math. Comput. Sci., 23(4), 321-327.
  • Khan, V.A., Tuba, U., Ashadul Rahaman, SK., & Ahmad, A. (2021). Ideal convergent sequence spaces of fuzzy star–shaped numbers. J. Intell. Fuzzy Syst., 40, 11355-11362. https://doi.org/10.3233/JIFS-202534
  • Kostyrko, P., Macaj, M., Salat, T., & Sleziak, M. (2005). I-convergence and extremal I -limit points. Math. Slov., 4, 443-464.
  • Kostyrko, P., Salat, T., & Wilczynski, W. (2000/2001). I-convergence. Real Anal. Exchange, 26(2), 669-686.
  • Kumar, V., & Kumar, K. (2008). On the ideal convergence of sequences of fuzzy numbers. Inf. Sci., 178(24), 4670-4678.
  • Salat, T., Tripathy, B., & Ziman, M. (2004). On some properties of I-convergence. Tatra. Mt. Math. Publ., 28, 279-286.
  • Savaş, E., & Das, P. (2011). A generalized statistical convergence via ideals. App. Math. Lett., 24, 826-830.
  • Zadeh, L. A. (1965). Fuzzy sets. Inf. Control., 8(3), 338-353.
  • Zhao, Z., & Wu, C. (2013). A characterization for compact sets in the space of fuzzy star-shaped numbers with metric. Abstr. Appl. Anal., 2013, Article ID: 627314. https://doi.org/10.1155/2013/627314
Toplam 12 adet kaynakça vardır.

Ayrıntılar

Birincil Dil Türkçe
Konular Mühendislik
Bölüm Araştırma Makalesi
Yazarlar

Ömer Kişi 0000-0001-6844-3092

Erhan Güler 0000-0003-3264-6239

Yayımlanma Tarihi 31 Mart 2022
Yayımlandığı Sayı Yıl 2022 Sayı: 34

Kaynak Göster

APA Kişi, Ö., & Güler, E. (2022). Bulanık Yıldız-Şekilli Sayıların I-İstatistiksel Yakınsak Dizi Uzayları. Avrupa Bilim ve Teknoloji Dergisi(34), 778-782. https://doi.org/10.31590/ejosat.1085791