Please use this identifier to cite or link to this item: https://dspace.iiti.ac.in/handle/123456789/6666
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dc.contributor.authorKhan, Md. Aquilen_US
dc.date.accessioned2022-03-17T01:00:00Z-
dc.date.accessioned2022-03-21T10:50:07Z-
dc.date.available2022-03-17T01:00:00Z-
dc.date.available2022-03-21T10:50:07Z-
dc.date.issued2017-
dc.identifier.citationKhan, M. A. (2017). A probabilistic approach to rough set theory with modal logic perspective. Information Sciences, 406-407, 170-184. doi:10.1016/j.ins.2017.04.029en_US
dc.identifier.issn0020-0255-
dc.identifier.otherEID(2-s2.0-85018510015)-
dc.identifier.urihttps://doi.org/10.1016/j.ins.2017.04.029-
dc.identifier.urihttps://dspace.iiti.ac.in/handle/123456789/6666-
dc.description.abstractWe 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. © 2017 Elsevier Inc.en_US
dc.language.isoenen_US
dc.publisherElsevier Inc.en_US
dc.sourceInformation Sciencesen_US
dc.subjectApproximation algorithmsen_US
dc.subjectComputer circuitsen_US
dc.subjectFormal logicen_US
dc.subjectInformation systemsen_US
dc.subjectSet theoryen_US
dc.subjectAxiomatizationen_US
dc.subjectDeterministic information systemsen_US
dc.subjectIncomplete information systemsen_US
dc.subjectIndistinguishability relationsen_US
dc.subjectLower and upper approximationsen_US
dc.subjectModal logicen_US
dc.subjectNon-deterministic informationen_US
dc.subjectProbabilistic informationen_US
dc.subjectRough set theoryen_US
dc.titleA probabilistic approach to rough set theory with modal logic perspectiveen_US
dc.typeJournal Articleen_US
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