A Study of Hausdorff Measure in Fuzzy Soft Metric Spaces

  • Mayada N. Mohammedali Branch of Mathematics and Computer Applications, Department of Applied Sciences, University of Technology, Baghdad, Iraq
  • Fatema Ahmad Sadiq Branch of Mathematics and Computer Applications, Department of Applied Sciences, University of Technology, Baghdad, Iraq
  • Raghad I. Sabri Branch of Mathematics and Computer Applications, Department of Applied Sciences, University of Technology, Baghdad, Iraq
Keywords: Fuzzy soft set, Continuous t-conorm, Fuzzy soft metric space, Generalized Hausdorff measure, Fuzzy distance function

Abstract

       In fields such as mathematics, statistics, computer science, etc., the theory of fuzzy metric spaces is crucial. In this work, a new significant  characteristics of the space of fuzzy soft metric are presented, following Kider's (2020) proposal of the fuzzy soft metric model. furthermore, to study hyperspaces in terms of this specific fuzzy soft metric notion. A fuzzy soft distance between two fuzzy soft compact sets is created. A formulation has been proposed for establishing a Hausdorff fuzzy soft metric on the collection of non-empty fuzzy soft compact subsets. Additionally, a variety of essential features of the Hausdorff fuzzy soft metric concept are described.

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Published
2022-12-02
How to Cite
Mohammedali, M., Sadiq, F., & Sabri, R. (2022). A Study of Hausdorff Measure in Fuzzy Soft Metric Spaces. Journal of Al-Qadisiyah for Computer Science and Mathematics, 14(4), Stat. Page 11-18. https://doi.org/10.29304/jqcm.2022.14.4.1097
Section
Statistic Article

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