On fuzzinesstic measures of entropy on Kleene algebras
| Autor: | I. Z. Batyrshin |
|---|---|
| Rok vydání: | 1990 |
| Předmět: |
Pure mathematics
Logic Non-associative algebra Kleene's recursion theorem Kleene algebra Mathematics::Logic Interior algebra Artificial Intelligence Computer Science::Logic in Computer Science Kleene star Nest algebra Central element Computer Science::Formal Languages and Automata Theory De Morgan algebra Mathematics |
| Zdroj: | Fuzzy Sets and Systems. 34:47-60 |
| ISSN: | 0165-0114 |
| DOI: | 10.1016/0165-0114(90)90126-q |
| Popis: | The concept of measure of fuzziness is generalized to the arbitrary Kleene algebras. It is shown that these measures characterize Kleene algebras in the class of De Morgan algebras. The algebra of fuzzy sets of Zadeh belongs to the class of Kleene algebras with central element. In these algebras one-to-one correspondence between the measures of entropy and metrics is established. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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