Neighbourhood Semantics for Graded Modal Logic

Chen, Jinsheng; Ditmarsch, Hans van; Greco, Giuseppe; Tzimoulis, Apostolos

doi:10.18778/0138-0680.2021.12

Cited by 1 publication

(1 citation statement)

References 13 publications

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“…Additionally, many examples and applications are part of the paper. Semantics of graded modal logics (see (Chen, van Ditmarsch, Greco, & Tzimoulis, 2021;de Rijke, 2000) and related references), and their limitations are applicable to the non-granular context of the paper (Yao & Lin, 1996).…”

Section: Summary and Extensions: Granular Graded Rough Setsmentioning

confidence: 99%

Granular knowledge and rational approximation in general rough sets – I

Mani

2024

Journal of Applied Non-Classical Logics

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Rough sets are used in numerous knowledge representation contexts, and are then empowered with varied ontologies. These may be intrinsically associated with ideas of rationality under certain conditions. In recent papers, specific granular generalizations of graded and variable precision rough sets are investigated by the present author from the perspective of rationality of approximations (and the associated semantics of rationality in approximate reasoning). The studies are extended to idealbased approximations (sometimes referred to as subsethood-based approximations). It is additionally shown that co-granular or point-wise approximations defined by σideals/filters (for an arbitrary relation σ) fit easily into the entire scheme. Concepts of the rationality of objects (vague or crisp) and their types are introduced, and are shown to be applicable to most general rough sets by the present author. Surprising results on these are proved on these by her in this part of the research paper. The present paper is the first of a three part study on the topic.

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Section: Summary and Extensions: Granular Graded Rough Setsmentioning

confidence: 99%

Granular knowledge and rational approximation in general rough sets – I

Mani

2024

Journal of Applied Non-Classical Logics

View full text Add to dashboard Cite

show abstract

Neighbourhood Semantics for Graded Modal Logic

Cited by 1 publication

References 13 publications

Granular knowledge and rational approximation in general rough sets – I

Granular knowledge and rational approximation in general rough sets – I

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