A probabilistic approach to rough set theory with modal logic perspective
| Autor: | Md. Aquil Khan |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Information Systems and Management
Theoretical computer science Similarity (geometry) Incomplete information system 05 social sciences Probabilistic logic 050301 education Modal logic 02 engineering and technology Computer Science Applications Theoretical Computer Science Decidability Perspective (geometry) Artificial Intelligence Control and Systems Engineering 0202 electrical engineering electronic engineering information engineering Information system 020201 artificial intelligence & image processing Rough set 0503 education Algorithm Software Mathematics |
| Zdroj: | Information Sciences. :170-184 |
| ISSN: | 0020-0255 |
| DOI: | 10.1016/j.ins.2017.04.029 |
| Popis: | We propose the notion of probabilistic information system (PIS) to capture situations where information regarding attributes of objects are not precise, but given in terms of probability. Notions of indistinguishability relations and corresponding approximation operators based on PISs are proposed and studied. It is shown that the deterministic information systems (DISs), incomplete information systems (IISs) and non-deterministic information systems (NISs) are all special instances of PISs. Moreover, the approximation operators defined on DIS (relative to indiscernibility), IISs and NISs (relative to similarity relations) are all originated from a single approximation operator defined on PISs. Further, a logic LPIS for PISs is proposed that can be used to reason about the proposed approximation operators. A sound and complete deductive system for the logic is given. Decidability of the logic is also proved. |
| Databáze: | OpenAIRE |
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