On Generalizing Pawlak Approximation Operators
作者： Y. Y. Yao
关键词: Modal logic 、 Closure (topology) 、 Operator theory 、 Discrete mathematics 、 Topological space 、 Mathematics 、 Boolean algebra (structure) 、 Approximation operators 、 Rough set 、 Pure mathematics
摘要: This paper reviews and discusses generalizations of Pawlak rough set approximation operators in mathematical systems, such as topological spaces, closure lattices, posets. The structures generalized spaces the properties are analyzed.
springer.com
core.ac.uk
sci-hub.se 参考文章(17)
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
Helena Rasiowa, An Algebraic Approach To Non Classical Logics ,(1974)
Wojciech P. Ziarko, C. J. Van Rijsbergen, "Rough Sets, Fuzzy Sets and Knowledge Discovery" ,(1994)
Y.Y. Yao, Two views of the theory of rough sets in finite universes International Journal of Approximate Reasoning. ,vol. 15, pp. 291- 317 ,(1996) , 10.1016/S0888-613X(96)00071-0
Y.Y. Yao, T.Y. Lin, Generalization of Rough Sets using Modal Logics Intelligent Automation and Soft Computing. ,vol. 2, pp. 103- 119 ,(1996) , 10.1080/10798587.1996.10750660
J. C. C. McKinsey, Alfred Tarski, On Closed Elements in Closure Algebras The Annals of Mathematics. ,vol. 47, pp. 122- ,(1946) , 10.2307/1969038
Y.Y. Yao, Relational interpretations of neighborhood operators and rough set approximation operators Information Sciences. ,vol. 111, pp. 239- 259 ,(1998) , 10.1016/S0020-0255(98)10006-3
Y YAO, A comparative study of fuzzy sets and rough sets Information Sciences. ,vol. 109, pp. 227- 242 ,(1998) , 10.1016/S0020-0255(98)10023-3
Susan Haack, Philosophy of logics ,(1978)
A. N. Prior, Tense-logic and the continuity of time Studia Logica. ,vol. 13, pp. 133- 148 ,(1962) , 10.1007/BF02317267