Research output: Contribution to journal › Article › peer-review
The article examines the infimum and supremum of an infinite number of fuzzy numbers. It is shown that familiar properties of these operations, which are valid for real numbers, may apply to fuzzy numbers only under certain conditions. A formula for computing the infimum and supremum of any set of fuzzy numbers is provided. Since the union and meet of type-2 fuzzy sets are defined via the infimum and supremum of fuzzy numbers, all the results obtained are applicable to these operations as well.
| Translated title of the contribution | Соединение и слияние бесконечного количества нечетких множеств типа 2 |
|---|---|
| Original language | English |
| Pages (from-to) | 108-119 |
| Number of pages | 12 |
| Journal | Vestnik Sankt-Peterburgskogo Universiteta, Prikladnaya Matematika, Informatika, Protsessy Upravleniya |
| Volume | 17 |
| Issue number | 2 |
| DOIs | |
| State | Published - 2021 |
ID: 85635973