We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Compactness of Hausdorff Fuzzy Metric Spaces.
- Authors
Wali, Hazim M.
- Abstract
Hausdorff fuzzy metric space is often considered in fuzzy analysis, since for a given fuzzy metric space (X*,d*), we can define a certain new fuzzy metric space of all nonempty compact subsets of X, which we call it the Hausdorff fuzzy metric space (X*,D*). The introduction of the distance function defined over a fuzzy subset A of a universal set X is is given first and then prove some related properties to this distance function. In addition, the generalization of this definition for a distance function between two fuzzy subsets of X is obtained based on the Hausdorff distance. Finally, the completeness of the Hausdorff fuzzy metric space and then its compactness are studied and proved.
- Subjects
GENERALIZATION; DISTANCES
- Publication
IAENG International Journal of Applied Mathematics, 2021, Vol 51, Issue 1, p17
- ISSN
1992-9978
- Publication type
Article