Research Article

On Fuzzy Hypersoft Topological Spaces

Volume: 9 Number: 1 June 30, 2022
EN

On Fuzzy Hypersoft Topological Spaces

Abstract

This paper is aimed at constructing a topology on fuzzy hypersoft sets. The concepts of fuzzy hypersoft topology, fuzzy hypersoft open(closed) sets, fuzzy hypersoft interior, fuzzy hypersoft closure, fuzzy hypersoft base and fuzzy hypersoft subspace topology are also introduced here and some important theorems have been established.

Keywords

References

  1. Ahmad, B. & Kharal, A. (2009). On fuzzy soft sets. Advances in fuzzy systems, 2009.
  2. Aktaş, H., & Çağman, N. (2007). Soft sets and soft groups. Information sciences, 177(13), 2726-2735.
  3. Ali, M.I., Feng, X.Y. Liu, X.Y., Min, W.K. & Shabir, M. (2009). On some new operations in soft set theory. Computers and Mathematics with Applications, 57, 1547–1553.
  4. Chen, D., Tsang, E.C.C., Yeung, D.S. & Wong, X. (2005). The parametrization reduction of soft sets and its applicaitons. Computers and Mathematics with Applications, 49, 757–763.
  5. Feng, F., Jun, Y.B., & Zhao, X. (2008). Soft semirings. Computers and Mathematics with Applications, 56(10), 2621–2628.
  6. Gayen, S., Smarandache, F., Jha, S., Singh, M.K., Broumi, S. & Kumar, R. (2020). Introduction to plithogenic hypersoft subgroup. Neutrosophic Sets and Systems, 33(1), 14.
  7. Kharal, A. & Ahmad, B. (2009). Mappings on fuzzy soft classes. Adv. Fuzzy Syst., 2009.
  8. Martin, N. & Smarandache, F. (2020). Concentric Plithogenic Hypergraph based on Plithogenic Hypersoft sets–A Novel Outlook. Neutrosophic Sets and Systems, 33(1).

Details

Primary Language

English

Subjects

Environmental Sciences

Journal Section

Research Article

Publication Date

June 30, 2022

Submission Date

July 13, 2021

Acceptance Date

April 12, 2022

Published in Issue

Year 2022 Volume: 9 Number: 1

APA
Yolcu, A., & Öztürk, T. Y. (2022). On Fuzzy Hypersoft Topological Spaces. Caucasian Journal of Science, 9(1), 1-19. https://doi.org/10.48138/cjo.970818
AMA
1.Yolcu A, Öztürk TY. On Fuzzy Hypersoft Topological Spaces. Caucasian J. Sci. 2022;9(1):1-19. doi:10.48138/cjo.970818
Chicago
Yolcu, Adem, and Taha Yasin Öztürk. 2022. “On Fuzzy Hypersoft Topological Spaces”. Caucasian Journal of Science 9 (1): 1-19. https://doi.org/10.48138/cjo.970818.
EndNote
Yolcu A, Öztürk TY (June 1, 2022) On Fuzzy Hypersoft Topological Spaces. Caucasian Journal of Science 9 1 1–19.
IEEE
[1]A. Yolcu and T. Y. Öztürk, “On Fuzzy Hypersoft Topological Spaces”, Caucasian J. Sci., vol. 9, no. 1, pp. 1–19, June 2022, doi: 10.48138/cjo.970818.
ISNAD
Yolcu, Adem - Öztürk, Taha Yasin. “On Fuzzy Hypersoft Topological Spaces”. Caucasian Journal of Science 9/1 (June 1, 2022): 1-19. https://doi.org/10.48138/cjo.970818.
JAMA
1.Yolcu A, Öztürk TY. On Fuzzy Hypersoft Topological Spaces. Caucasian J. Sci. 2022;9:1–19.
MLA
Yolcu, Adem, and Taha Yasin Öztürk. “On Fuzzy Hypersoft Topological Spaces”. Caucasian Journal of Science, vol. 9, no. 1, June 2022, pp. 1-19, doi:10.48138/cjo.970818.
Vancouver
1.Adem Yolcu, Taha Yasin Öztürk. On Fuzzy Hypersoft Topological Spaces. Caucasian J. Sci. 2022 Jun. 1;9(1):1-19. doi:10.48138/cjo.970818

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