Uncertainty Measurement for a Tolerance Knowledge Base

A knowledge base is an important notion of rough set theory. A tolerance knowledge base is its generalization. Measures of uncertainty as important evaluation tools in the fields of machine learnin...

[1]  Qinghua Hu,et al.  Set-based granular computing: A lattice model , 2014, Int. J. Approx. Reason..

[2]  Marzena Kryszkiewicz.  Comparative study of alternative types of knowledge reduction in inconsistent systems , 2001, Int. J. Intell. Syst..

[3]  Andrzej Skowron,et al.  Rudiments of rough sets , 2007, Inf. Sci..

[4]  Andrzej Skowron,et al.  Rough sets and Boolean reasoning , 2007, Inf. Sci..

[5]  Theresa Beaubouef,et al.  Information-Theoretic Measures of Uncertainty for Rough Sets and Rough Relational Databases , 1998, Inf. Sci..

[6]  Jiye Liang,et al.  Information entropy, rough entropy and knowledge granulation in incomplete information systems , 2006, Int. J. Gen. Syst..

[7]  Andrzej Skowron,et al.  Rough sets: Some extensions , 2007, Inf. Sci..

[8]  Wen-Xiu Zhang,et al.  Knowledge reduction based on the equivalence relations defined on attribute set and its power set , 2007, Inf. Sci..

[9]  Yee Leung,et al.  Connections between rough set theory and Dempster-Shafer theory of evidence , 2002, Int. J. Gen. Syst..

[10]  Jiye Liang,et al.  Knowledge structure, knowledge granulation and knowledge distance in a knowledge base , 2009, Int. J. Approx. Reason..

[11]  Jinhai Li,et al.  Knowledge reduction in decision formal contexts , 2011, Knowl. Based Syst..

[12]  Lotfi A. Zadeh,et al.  Toward a theory of fuzzy information granulation and its centrality in human reasoning and fuzzy logic , 1997, Fuzzy Sets Syst..

[13]  Wei-Zhi Wu,et al.  Approaches to knowledge reductions in inconsistent systems , 2003, Int. J. Intell. Syst..

[14]  Lotfi A. Zadeh,et al.  Fuzzy logic = computing with words , 1996, IEEE Trans. Fuzzy Syst..

[15]  Wei-Zhi Wu,et al.  Information structures and uncertainty measures in a fully fuzzy information system , 2018, Int. J. Approx. Reason..

[16]  Kewen Wang,et al.  Approaches to measuring inconsistency for stratified knowledge bases , 2014, Int. J. Approx. Reason..

[17]  Yiyu Yao,et al.  A Partition Model of Granular Computing , 2004, Trans. Rough Sets.

[18]  C. E. SHANNON,et al.  A mathematical theory of communication , 1948, MOCO.

[19]  Ivo Düntsch,et al.  Uncertainty Measures of Rough Set Prediction , 1998, Artif. Intell..

[20]  Qingguo Li,et al.  Relationships between knowledge bases and related results , 2015, Knowledge and Information Systems.

[21]  Lotfi A. Zadeh,et al.  Some reflections on soft computing, granular computing and their roles in the conception, design and utilization of information/intelligent systems , 1998, Soft Comput..

[22]  Yee Leung,et al.  Knowledge acquisition in incomplete information systems: A rough set approach , 2006, Eur. J. Oper. Res..

[23]  Qingguo Li,et al.  Knowledge structures in a knowledge base , 2016, Expert Syst. J. Knowl. Eng..

[24]  Marzena Kryszkiewicz,et al.  Rough Set Approach to Incomplete Information Systems , 1998, Inf. Sci..

[25]  Marzena Kryszkiewicz,et al.  Rules in Incomplete Information Systems , 1999, Inf. Sci..

[26]  Yiyu Yao,et al.  Relational Interpretations of Neigborhood Operators and Rough Set Approximation Operators , 1998, Inf. Sci..

[27]  Lotfi A. Zadeh,et al.  A New Direction in AI: Toward a Computational Theory of Perceptions , 2001, AI Mag..

[28]  Yiyu Yao,et al.  Constructive and Algebraic Methods of the Theory of Rough Sets , 1998, Inf. Sci..

[29]  Bin Qin,et al.  ∗-reductions in a Knowledge Base , 2015, Inf. Sci..

[30]  Yee Leung,et al.  Maximal consistent block technique for rule acquisition in incomplete information systems , 2003, Inf. Sci..

[31]  Jiye Liang,et al.  On the evaluation of the decision performance of an incomplete decision table , 2008, Data Knowl. Eng..

[32]  M. J. Wierman,et al.  MEASURING UNCERTAINTY IN ROUGH SET THEORY , 1999 .

[33]  Jiye Liang,et al.  Information granules and entropy theory in information systems , 2008, Science in China Series F: Information Sciences.

[34]  Alon Y. Halevy,et al.  Verification of Knowledge Bases Based on Containment Checking , 1998, Artif. Intell..

[35]  Meng Liu,et al.  New measures of uncertainty for an interval-valued information system , 2019, Inf. Sci..

[36]  Ming-Wen Shao,et al.  A unified information measure for general binary relations , 2017, Knowl. Based Syst..

[37]  Jiye Liang,et al.  The Algorithm on Knowledge Reduction in Incomplete Information Systems , 2002, Int. J. Uncertain. Fuzziness Knowl. Based Syst..

[38]  Mei Zhang,et al.  A rough set approach to knowledge reduction based on inclusion degree and evidence reasoning theory , 2003, Expert Syst. J. Knowl. Eng..