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Lower Approximation Reduction in Ordered Information System with Fuzzy Decision
Author(s) -
Xiaoyan Zhang,
Weihua Xu
Publication year - 2011
Publication title -
applied mathematics
Language(s) - English
Resource type - Journals
eISSN - 2152-7393
pISSN - 2152-7385
DOI - 10.4236/am.2011.27125
Subject(s) - reduction (mathematics) , rough set , mathematics , fuzzy set , fuzzy logic , matrix (chemical analysis) , set (abstract data type) , information system , decision system , mathematical optimization , computer science , data mining , artificial intelligence , operations research , engineering , materials science , geometry , electrical engineering , composite material , programming language
Attribute reduction is one of the most important problems in rough set theory. This paper introduces the concept of lower approximation reduction in ordered information systems with fuzzy decision. Moreover, the judgment theorem and discernable matrix are obtained, in which case an approach to attribute reduction in ordered information system with fuzzy decision is constructed. As an application of lower approximation reduction, some examples are applied to examine the validity of works obtained in our works.

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