Abstract
It is impossible to introduce strict monotonic t-norm on a finite chain. A proposed solution is to embed an initial scale into a totally ordered set of uncertainties with string or multiset based memory, and to define t-norm on this set. Applications of uncertainties with memory in fuzzy rule based systems in chemical technology and in the petroleum industry are discussed.
| Original language | English |
|---|---|
| Pages (from-to) | 498-513 |
| Number of pages | 16 |
| Journal | Applied and Computational Mathematics |
| Volume | 10 |
| Issue number | 3 |
| State | Published - 2011 |
| Externally published | Yes |
Keywords
- Chemical technology
- Finite ordinal scale
- Fuzzy logic
- Fuzzy rule based system
- Fuzzy simulator
- Multiset
- Petroleum industry
- String
- T-conorm
- T-norm
- Uncertainty