粗集理论的现状与前景The Status of Rouhg Set Researches
祝峰,王加佳,严向奎
摘要(Abstract):
讨论了粗集理论的基本概念 ,详细的介绍了其在理论与应用方面的研究进展 ,并指出了粗集理论今后的一些研究方向
关键词(KeyWords): 模糊性;粗集;不可分辨性
基金项目(Foundation):
作者(Author): 祝峰,王加佳,严向奎
参考文献(References):
- [1]Black M.Vagueness[A].The Philosophy of Sciences[M].1937.4 2 7- 4 55.
- [2 ]Chakraborty MK,Banerjee M.Rough Consequence[J].Bull Pol Acad Sci,( to appear) .1994 .
- [3]Dubois D,Prade H.Putting Rough Sets and Fuzzy Sets Together[A].In:R Slowinski.Intelligent Deci-sion Support Systems,Handbook of Applications and Advances of the Rough Sets Theory[M].KluwerAcademic Publishers,1992 .
- [4 ]Fine K. Vagueness,Truth and L ogic[J].Synthese,1975,30 :2 65- 30 0 .
- [5]Frege G. Grundgesetze der Arithmentik[A].In:Geach 190 4 and Black Selections from the PhilosophicalWritings of Gotlob Frege,Blackweil,Oxford 1970 .
- [6]Grzymala- Busse J.Knowledge Acquisition under U ncertainty- a Rough Set Approach[J].Journal of In-telligent and Robotics Systems,1988,1:3- 16.
- [7]Krusinska E,Slowinski R,Stefanowski J.Discriminant Versus Rough Sets Approach to Vague DataAnalysis[J].Journal of Applied Statistics and Data Analysis,1992 ,8:4 3- 56.
- [8]L in TY,L iu Q.First- order Roug L ogic I:Approximate Reasoning via Rough Sets( manuscript) [M].1994 .
- [9]Pawlak Z.Rough Sets[A].International Journal of Computer and Information Sciences[M],1982 ,11:34 1- 356.
- [10 ]Pawlak Z.Pawlak.Rough Sets,Theoretical Aspects of Reasoning about Data[M].Kluwer AcademicPublishers,1991.
- [11]Pawlak Z,Wong SKM,Ziarko W.Rough Sets:Probabilistic Versus Deterministic Approach[J].Int JMan- Machine Studies,1988,2 9:81- 95.
- [12 ]Pawlak Z,Skowron A.Rough Membership Functions[A].In:Yaeger RR,Fedrizzi M,Kacprzyk J.JohnWiley and Sons:Advances in the Dempster Safer Theory of Evidence[M].1994 .2 51- 2 71.
- [13]Pawlak Z,Slowinski R.Decision Analysis using Rough Sets[J].Int Trans Opl Res,1994 ,1( 1) :10 7-114.
- [14]Popper K.The Logic of Scientific Discovery[M].L ondon:Hutchinson.1959.
- [15]Russell B.Vagueness[J].Australian Journal of Philosophy,192 3,1:84 - 92 .
- [16]Shafer G.A Mathematical Theory of Evidence[M].Princeton,NJ:Princeton University Press.1976.
- [17]Skowron A,Rauszer C.The Discernibility Matrices and Functions in Information Systems[A].In:Slowinski R.Intelligent Decision Support* Handbook of Advances and Applications of the RoughSet Theory.Kluwer Academic Publishers,1992 .311- 362 .
- [18]Skowron A,Grzymala- Busse J.From the Rough Set Theory to Evidence Theory[A].In:Yaeger R R,Fedrizzi M,Kacprzyk J.John Wiley and Sons:Advances in the Dempster Shafer Theory of Evidence[M].1994 .193- 2 35.
- [19]Slowinski R.Intelligent Decision Support* Handbook of Advances and Appilcations of the Rouhg SetTheory[M].Kluwer Academic Publishers,1992 .
- [2 0 ]Szladow A,Ziarko W.Knowledge Based Process Control Using Rough Sets[A].In:Slowinski R,Intel-ligent Decision Support Systems,Handbook of Applications and Advancse of the Rough Sets Theory[M].Kluwer Academic Publishers,1992 .4 9- 60 .
- [2 1]Wong SKM,Ziarko W,Ye RL .Comparison of Rough Set and Statistical Methods in Inductive L earn-ing.International Journal of Man- Machine Studies,1986,2 4 :53- 72 .
- [2 2 ]Zadeh L . Fuzzy Sets[A].Information and Control[M].1965.338- 353.
- [2 3]Ziarko W.Variable Precision Rough Set Model[J].Journal of Computer and System Sciences,1993,4 0( 1) ,39- 59.
- [2 4 ]祝峰 ,何华灿 .粗集的公理化 [J].计算机学报 ,2 0 0 0 ,2 3( 3) :2 3- 2 8.
- [2 5]祝峰 ,何华灿 .L ogical Properties of Rough Sets,HPC- Asia2 0 0 0 [C].Beijing,2 0 0 0 .