On Cubic Interval Vague Sets and Cubic Interval Vague Topological Spaces

Authors

  • Arsalan Shareef Haji Dept. of Mathematics, College of Science, University of Duhok, Kurdistan Region, Iraq
  • Alias Barakat Khalaf Dept. of Mathematics, College of Science, University of Duhok, Kurdistan Region, Iraq

DOI:

https://doi.org/10.25271/sjuoz.2022.10.3.906

Keywords:

Fuzzy Set, Cubic Vague Set, Cubic Interval Vague Set, Internal Cubic Interval Vague Set, External Interval Cubic Vague Set, Cubic Interval Vague Topological Space

Abstract

 advance a modern extension formation of cubic vague sets identified as cubic interval vague sets (CIVSs).  similarly describe the idea of  cubic interval vague sets (ICIVSs)    cubic interval vague sets (ECIVSs) by examples  debate their exciting properties, excluding ICIVSs  ECIVSs  - . Additionally,  show -  ICIVSs (  ECIVSs) necessity not be an ICIVS (or ECIVS).  apply the idea of (CIVS) to topological spaces and present the idea of cubic interval vague topological spaces. Further, we introduce P-cubic interval vague topological space and R-cubic interval vague topological space. We discuss basic properties of cubic interval vague topological space.

Author Biographies

Arsalan Shareef Haji, Dept. of Mathematics, College of Science, University of Duhok, Kurdistan Region, Iraq

Dept. of Mathematics, College of Science, University of Duhok, Kurdistan Region, Iraq

 (arsalan.haji@uod.ac)

Alias Barakat Khalaf, Dept. of Mathematics, College of Science, University of Duhok, Kurdistan Region, Iraq

Dept. of Mathematics, College of Science, University of Duhok, Kurdistan Region, Iraq (aliasbkhalaf@uod.ac)

References

[1] Akhtar Z., Saleem A., Majid K. & Abdul M. (2016). Cubic Topology. Inter. J. Comp. Sci. Inform. Sec. Vol. 14, 659-669.
[2] Gau, W. L., Buehrer & D. J. (1993). Vague sets. IEEE Trans. Syst. Man. Cybern. Vol. 23, 610-614.
[3] Jun, Y. B., Kim, C. S. and Yang, K. O. (2012). Cubic Sets. Ann. Fuzzy Math. Information. Vol. 4, 83-98.
[4] Khaleed A., Yousef Al-Q., Nasruddin H. & Abdul M. N. (2020). Cubic Vague Set and its Application in Decision Making . Entropy. Vol. 22, 963-980.
[5] Zadeh & L. A. (1965). Fuzzy Sets. Information and Control. Vol. 8, 338-353.
[6] Zadeh & L. A. (1975a). The Concept of a linguistic variable and its application to approximate reasoning. Part 1, Information Sci. Vol. 8, 199-249.

Downloads

Published

2022-07-01

How to Cite

Haji, A. S., & Khalaf, A. B. (2022). On Cubic Interval Vague Sets and Cubic Interval Vague Topological Spaces. Science Journal of University of Zakho, 10(3), 70–75. https://doi.org/10.25271/sjuoz.2022.10.3.906

Issue

Vol. 10 No. 3 (2022): July - September  Issue

Section

Science Journal of University of Zakho

License

Authors who publish with this journal agree to the following terms:

  • Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License [CC BY-NC-SA 4.0] that allows others to share the work with an acknowledgment of the work's authorship and initial publication in this journal.
  • Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work, with an acknowledgment of its initial publication in this journal.
  • Authors are permitted and encouraged to post their work online.