Rough Sets-Based Machine Learning over Non-deterministic Data: A Brief Survey

Rough Non-deterministic Information Analysis (RNIA) is a rough sets-based framework for handling tables with exact and inexact data. Under this framework, we investigated possible equivalence relations, data dependencies, rule generation, rule stability, question-answering systems, as well as missing and interval values as special cases of non-deterministic values. In this paper, we briefly survey RNIA, and report the state of its underlying software implementation. We also discuss to what extent RNIA can be seen as an example of a new emerging paradigm in machine learning.

[1]  Witold Lipski,et al.  On Databases with Incomplete Information , 1981, JACM.

[2]  Zdzisław Pawlak,et al.  Systemy Informacyjne. Podstawy Teoretyczne , 1983 .

[3]  Ewa Orlowska,et al.  Representation of Nondeterministic Information , 1984, Theor. Comput. Sci..

[4]  Z. Pawlak Rough Sets: Theoretical Aspects of Reasoning about Data , 1991 .

[5]  Ramakrishnan Srikant,et al.  Fast Algorithms for Mining Association Rules in Large Databases , 1994, VLDB.

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

[7]  Tsau Young Lin,et al.  Introducing the book , 2000 .

[8]  Hiroshi Sakai,et al.  Basic Algorithms and Tools for Rough Non-deterministic Information Analysis , 2004, Trans. Rough Sets.

[9]  Jerzy W. Grzymala-Busse,et al.  Transactions on Rough Sets I , 2004, Lecture Notes in Computer Science.

[10]  Hiroshi Sakai,et al.  Possible Equivalence Relations and Their Application to Hypothesis Generation in Non-deterministic Information Systems , 2004, Trans. Rough Sets.

[11]  Jerzy W. Grzymala-Busse,et al.  Data with Missing Attribute Values: Generalization of Indiscernibility Relation and Rule Induction , 2004, Trans. Rough Sets.

[12]  Jerzy W. Grzymala-Busse,et al.  Transactions on Rough Sets XII , 2010, Lecture Notes in Computer Science.

[13]  Hiroshi Sakai,et al.  Rules and Apriori Algorithm in Non-deterministic Information Systems , 2006, Trans. Rough Sets.

[14]  Hiroshi Sakai,et al.  Applying Rough Sets to Information Tables Containing Possibilistic Values , 2008, Trans. Comput. Sci..

[15]  Hiroshi Sakai,et al.  Rough Sets Based Rule Generation from Data with Categorical and Numerical Values , 2008, J. Adv. Comput. Intell. Intell. Informatics.

[16]  Yiyu Yao,et al.  Transactions on Computational Science II , 2008, Lecture Notes in Computer Science.

[17]  Andrzej Skowron,et al.  Transactions on Rough Sets IX , 2008, Trans. Rough Sets.

[18]  Dominik Slezak,et al.  A Prototype System for Rule Generation in Lipski's Incomplete Information Databases , 2011, RSFDGrC.

[19]  Dominik Slezak,et al.  Stable rule extraction and decision making in rough non-deterministic information analysis , 2011, Int. J. Hybrid Intell. Syst..

[20]  Yiyu Yao,et al.  Rough Sets: Selected Methods and Applications in Management and Engineering , 2012, Advanced Information and Knowledge Processing.

[21]  Guoyin Wang,et al.  Rough Sets, Fuzzy Sets, Data Mining, and Granular Computing , 2013, Lecture Notes in Computer Science.