Araştırma Makalesi

Gradation of continuity for mappings between L-soft topological spaces

Cilt: 12 Sayı: 3 15 Temmuz 2022
Vildan Çetkin *
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Gradation of continuity for mappings between L-soft topological spaces

Abstract

In this article, we aim to present the degrees of continuity, closedness and openness for a soft mapping which is defined between L-soft topological spaces, where L is a complete DeMorgan algebra. We propose the gradation of continuity for a soft mapping with the help of the soft closure operators and by considering the fuzzy soft inclusion which depends on the lattice implication. We also observe many characterizations and properties of the degree of the continuity. Then, we present the degree of openness for a soft mapping with help of the soft interior operators. At the end, we investigate the relations among the proposed concepts; the degree of continuity, closedness and openness in a natural way.

Keywords

Closure , Continuity , Fuzzy soft set , L-soft topology , Openness , Soft maping

Kaynakça

  1. Ahmad, B., & Kharal, A. (2009). On fuzzy soft sets. Advances in Fuzzy Systems, 586507. https://doi.org/10.1155/2009/586507
  2. Al-jarrah, H. H., Rawshdeh, A., & Al-shami, T. M. (2022). On soft compact and soft Lindelöf spaces via soft regular closed sets. Afrika Mathematika, 33 (23) https://doi.org/10.1007/s13370-021-00952-z
  3. Aygünoğlu, A., & Aygün, H. (2009). Introduction to fuzzy soft group. Computers and Mathematics with Applications, 58, 1279-1286. https://doi.org/10.1016/j.camwa.2009.07.047
  4. Çetkin, V. (2014). Bulanık esnek topolojik yapılar [Doktora Tezi, Kocaeli Üniversitesi Fen Bilimleri Enstitüsü]. Çetkin, V., & Aygün, H. (2014). On fuzzy soft topogenous structure. Journal of Intelligent and Fuzzy Ssytems, 27, 247-255. https://doi.org/10.3233/IFS-130993
  5. Çetkin, V., & Aygün, H. (2016). On L-soft merotopies. Soft Computing, 20, 4779-4790. https://doi.org/10.1007/s00500-016-2037-x
  6. Çetkin, V. (2019). Parameterized degree of semi-precompactness in the fuzzy soft universe. Journal of Intelligent and Fuzzy Ssytems, 36, 3661–3670. https://doi.org/ 10.3233/JIFS-181830
  7. Çetkin, V. (2022). Bornological spaces in the context of fuzzy soft sets. Filomat, 36(4), 1341-1350. https://doi.org/10.2298/FIL2204341C
  8. Georgiou, D. N., Megaritis, A. C., & Petropoulos, V. I. (2013). On soft topological spaces, Applied Mathematics and Information Sciences, 7(5), 1889–1901. https://doi.org/10.12785/amis/070527
  9. Gierz, G. et al., (1980). A compendium of continuous lattices, Springer-Verlag, New York Heidelberg Berlin.
  10. Kharal, A., & Ahmad, B. (2009). Mappings on fuzzy soft classes. Advances in Fuzzy Systems, 407890. https://doi.org/10.1155/2009/407890

Ayrıntılar

Birincil Dil

İngilizce

Konular

-

Bölüm

Araştırma Makalesi

Yazarlar

Yayımlanma Tarihi

15 Temmuz 2022

Gönderilme Tarihi

27 Aralık 2020

Kabul Tarihi

18 Nisan 2022

Yayımlandığı Sayı

Yıl 2022 Cilt: 12 Sayı: 3

DOI

https://doi.org/10.17714/gumusfenbil.847795

IZ

https://izlik.org/JA94KZ58NF

Kaynak Göster

RIS / Bibtex
APA
Çetkin, V. (2022). Gradation of continuity for mappings between L-soft topological spaces. Gümüşhane Üniversitesi Fen Bilimleri Dergisi, 12(3), 781-792. https://doi.org/10.17714/gumusfenbil.847795

e-ISSN: 2146-538X   Yayın Modeli: Sürekli Yayın   Atıf Dizinleri: TR Dizin , SCOPUS