Variable Precision Rough Set Model in Information Tables with Missing Values
Author(s) -
Yoshifumi Kusunoki,
Masahiro Inuiguchi
Publication year - 2011
Publication title -
journal of advanced computational intelligence and intelligent informatics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.172
H-Index - 20
eISSN - 1343-0130
pISSN - 1883-8014
DOI - 10.20965/jaciii.2011.p0110
Subject(s) - rough set , generalization , set (abstract data type) , variable (mathematics) , computer science , missing data , dominance based rough set approach , data mining , function (biology) , similarity (geometry) , data set , interval (graph theory) , degree (music) , algorithm , mathematics , artificial intelligence , machine learning , combinatorics , image (mathematics) , mathematical analysis , physics , evolutionary biology , biology , acoustics , programming language
In this paper, we study rough set models in information tables with missing values. The variable precision rough set model proposed by Ziarko tolerates misclassification error using a membership function in complete information tables. We generalize the variable precision rough set in information tables with missing values. Because of incompleteness, the membership degree of each objects becomes an interval value. We define six different approximate regions using the lower and upper bounds of membership functions. The properties of the proposed rough set model are investigated. Moreover we show that the proposed model is a generalization of rough set models based on similarity relations.
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