Fuzzy approximation relations, modal structures and possibilistic logic
The paper introduces a general axiomatic notion of approximation mapping, a mapping that associates to each crisp proposition p a fuzzy set representing "approximately p". It is shown how it can be obtained through fuzzy relations, which are at least reflexive. We study the corresponding m...
| Authors: | , , , |
|---|---|
| Format: | article |
| Publication Date: | 1998 |
| Country: | España |
| Institution: | Universitat Politècnica de Catalunya (UPC) |
| Repository: | UPCommons. Portal del coneixement obert de la UPC |
| Language: | English |
| OAI Identifier: | oai:upcommons.upc.edu:2099/3512 |
| Online Access: | https://hdl.handle.net/2099/3512 |
| Access Level: | Open access |
| Keyword: | Aproximation relation Aproximate reasoning Multi-modal system Possibilistic logic Similarity Lògica matemàtica Lògica difusa Classificació AMS::03 Mathematical logic and foundations::03B General logic |
| Summary: | The paper introduces a general axiomatic notion of approximation mapping, a mapping that associates to each crisp proposition p a fuzzy set representing "approximately p". It is shown how it can be obtained through fuzzy relations, which are at least reflexive. We study the corresponding multi-modal systems depending on the properties satisfied by the approximate relation. Finally, we show some equivalences between possibilistic logical consequences and global/local logical consequences in the multi-modal systems. |
|---|