Abstract
In this paper, a new definition of a fuzzy k-pseudo metric is introduced and its induced fuzzifying structures are constructed, such as a fuzzifying neighborhood system, a fuzzifying topology, a fuzzifying closure operator, a fuzzifying uniformity. Besides, it is shown that there is a one-to-one correspondence between fuzzy k-pseudo metrics and nests of crisp k-pseudo metrics.
| Original language | English |
|---|---|
| Pages (from-to) | 55-66 |
| Number of pages | 12 |
| Journal | Iranian Journal of Fuzzy Systems |
| Volume | 18 |
| Issue number | 6 |
| DOIs | |
| Publication status | Published - 1 Nov 2021 |
Keywords
- Fuzzifying topology
- Fuzzifying uniformity
- Fuzzy k-pseudo metric
- Nest of k-pseudo metric
OECD Field of Science
- 1.1 Mathematics
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