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Generalization of Rough Sets using Modal Logics


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Abstract

The theory of rough sets is an extension of set theory with two additional unary set-theoretic operators defined based on a binary relation on the universe. These two operators are related to the modal operators in modal logics. By exploring the relationship between rough sets and modal logics, this paper proposes and examines a number of extended rough set models. By the properties satisfied by a binary relation, such as serial, reflexive, symmetric, transitive, and Euclidean, various classes of algebraic rough set models can be derived. They correspond to different modal logic systems. With respect to graded and probabilistic modal logics, graded and probabilistic rough set models are also discussed.


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Pages

Total Pages: 17
Pages: 103-119

DOI
10.1080/10798587.1996.10750660


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Published

Volume: 2
Issue: 2
Year: 1996

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References

Bundy A. Journal of Automated Reasoning

Cerrato C. Studia Logica

Chakraborty M.K. Rough Sets, Fuzzy Sets and Knowledge Discovery

Chellas B.F. Modal Logic: An Introduction https://doi.org/10.1017/CBO9780511621192

de Caro F. Studia Logica

Fattorosi-Bamaba M. Studia Logica

Fattorosi-Barnaba M. Studia Logica

Fattorosi-Barnaba M. Studia Logica

Fine K. Notre Dame Journal of Formal Logic

Goble L.F. Logique et Analyse.

Hart W.D. Notre-Dame Journal of Formal Logic

Kortelainen J. Fuzzy Sets and Systems

Lin T. Y. Proceedings of the Fourth International Symposium on Method ologies of Intelligent Systems

Lin T. Y. Intelligent Decision Support: Handbook of Applications and Advances of Rough Set Theory https://doi.org/10.1007/978-94-015-7975-9_18

Lin T.Y. Methodologies for Intelligent Systems

Lin T. Y. Rough Sets, Fuzzy Sets and Knowledge Discovery https://doi.org/10.1007/978-1-4471-3238-7_31

Murai T. Proceedings of the Second International Fuzzy Systems Association Congress

Marchal B. Non-Standard Logics for Automated Reasoning

Nakamura A. “Rough Sets. Fuzzy Sets and Knowledge Discovery https://doi.org/10.1007/978-1-4471-3238-7_23

Nakamura A. IEICE Transactions on Information and Systems

Nakamura A. Fuzzy Sets and Systems https://doi.org/10.1016/0165-0114(92)90151-S

Orlowska E Bulletin of the Polish Academy of Sciences, Mathematics

Orlowska E International Journal of Approximate Reasoning

Orlowska E Rough Sets. Fuzzy Sets and Knowledge Discovery https://doi.org/10.1007/978-1-4471-3238-7_17

Pawlak Z. International Journal of Computer and Information Sciences

Pawlak Z. Bulletin of the Polish Academy of Sciences, Technical Sciences

Pawlak Z. Fuzzy Logic for the Management of Uncertainty

Pawlak Z. Rough Sets, Fuzzy Sets and Knowledge Discovery

Pawlak Z. Fuzzy Logic for the Management of Uncertainty

Pawlak Z. International Journal of Man-machine Studies

Pomykala J.A. Bulletin of the Polish Academy of Sciences, Mathematics

Rasiowa H. An Algebraic Approach to Non-classical Logics

Reeves S. Logic for Computer Science

Vakarelov D. Fundamenta Informaticae

van der Hoek W. Journal of Applied Non-classical Logic

van der Hoek W. Logique et Analyse

Wasilewska A. Proceedings of the CSC”95 Workshop on Rough Sets

Wong S.K.M. Uncertainty in Artificial Intelligence: Proceedings of the 8th Conference

Wong S.K.M. Fuzzy Sets and Systems

Wybraniec-Skardowska U. Bulletin of the Polish Academy of Sciences. Mathematics

Yao Y.Y. Proceedings of Third International Workshop on Rough Set and Soft Computing

Yao Y.Y. International Journal of Man-machine Studies

Zakowski, W. “Approximations in the space ( U, II).” Demonstratio Mathemat ica. Vol. XVI (1983), pp. 761–769.

Ziarko W. Journal of Computer and System Science

JOURNAL INFORMATION


ISSN PRINT: 1079-8587
ISSN ONLINE: 2326-005X
DOI PREFIX: 10.31209
10.1080/10798587 with T&F
IMPACT FACTOR: 0.652 (2017/2018)
Journal: 1995-Present




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