The smallest semicopula-based universal integrals: Remarks and improvements
| Autor: | Jana Borzová, Lenka Halčinová, Ondrej Hutník |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
0209 industrial biotechnology
Pure mathematics Series (mathematics) Measurable function Logic 02 engineering and technology Mathematical proof 020901 industrial engineering & automation Transformation (function) Monotone polygon Artificial Intelligence Convergence (routing) 0202 electrical engineering electronic engineering information engineering 020201 artificial intelligence & image processing Commutative property Mathematics |
| Zdroj: | Fuzzy Sets and Systems. 393:29-52 |
| ISSN: | 0165-0114 |
| Popis: | We provide several improvements and corrections of results dealing with the smallest universal integral I S based on a semicopula S. We deal with a transformation of the integral into another semicopula-based universal integral for continuous and commutative semicopulas, monotone convergence theorems with new proofs and Frechet-type mappings' properties corrected. During this way we discover several fine properties of the integral functional I S . We also discuss further convergences of measurable functions and the corresponding integrals in the light of the newest results from the literature answering several open questions stated in our previous articles of the series. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|
Full Text from ScienceDirect