Comparison Of Rough-Set And Interval-Set Models For Uncertain Reasoning

作者: Y.Y. Yao , Xining Li

DOI: 10.3233/FI-1996-272314

关键词:

摘要: In the rough-set model, a set is represented by pair of ordinary sets called lower and upper approximations. interval-set referred to as bounds which define family sets. A significant difference between these models lies in definition interpretation their extended set-theoretic operators. The operators model are not truth-functional, while truth-functional. Within framework possible-worlds analysis, we show that corresponds modal logic system S 5, Kleene's three-valued K 3. It argued two extend theory same manner systems 5 3 standard propositional logic. Their relationships probabilistic reasoning also examined.

参考文章(30)
Dimiter Vakarelov, A Modal Logic for Similarity Relations in Pawlak Knowledge Representation Systems Fundamenta Informaticae. ,vol. 15, pp. 61- 79 ,(1991) , 10.3233/FI-1991-15105
Helena Rasiowa, Andrzej Skowron, Rough concepts logic Symposium on Computation Theory. pp. 288- 297 ,(1984) , 10.1007/3-540-16066-3_24
Bruce Elwyn Meserve, Max A. Sobel, Introduction to Mathematics ,(1974)
Y. Y. Yao, Qing Liu, T. Y. Lin, Logics Systems for Approximate Reasoning: Approximation via Rough Sets and Topological Spaces international syposium on methodologies for intelligent systems. pp. 65- 74 ,(1994)
T. Y. Lin, Qing Liu, Rough Approximate Operators: Axiomatic Rough Set Theory RSKD '93 Proceedings of the International Workshop on Rough Sets and Knowledge Discovery: Rough Sets, Fuzzy Sets and Knowledge Discovery. pp. 256- 260 ,(1993) , 10.1007/978-1-4471-3238-7_31
Zbigniew Bonikowski, Algebraic Structures of Rough Sets RSKD '93 Proceedings of the International Workshop on Rough Sets and Knowledge Discovery: Rough Sets, Fuzzy Sets and Knowledge Discovery. pp. 242- 247 ,(1993) , 10.1007/978-1-4471-3238-7_29
Alan Bundy, Incidence calculus: A mechanism for probabilistic reasoning Journal of Automated Reasoning. ,vol. 1, pp. 263- 283 ,(1985) , 10.1007/BF00244272
Ewa Orlowska, Rough Set Semantics for Non-classical Logics RSKD '93 Proceedings of the International Workshop on Rough Sets and Knowledge Discovery: Rough Sets, Fuzzy Sets and Knowledge Discovery. pp. 143- 148 ,(1993) , 10.1007/978-1-4471-3238-7_17
Nicholas Rescher, Many Valued Logic ,(1969)
Akira Nakamura, On a Logic of Information for Reasoning About Knowledge RSKD '93 Proceedings of the International Workshop on Rough Sets and Knowledge Discovery: Rough Sets, Fuzzy Sets and Knowledge Discovery. pp. 186- 195 ,(1993) , 10.1007/978-1-4471-3238-7_23