Generalized multigranulation double－relative－quantitative decision－theoretic rough sets in incomplete information system
Li Jing，Wang Lidong*
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Department of Mathematics，Dalian Maritime University，Dalian，116026，China
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Published
2017-08-03
Issue Date
2017-08-03
Abstract
The classical rough set model is established on the base of an equivalence relation，and its requirement is too strict.In real life，the application of classical rough set theory has certain limitation.It is important for the development of rough set model by introducing other binary relations，which have become hot topics.In the real world，information acquisition systems suffer from the data measurement error，the understanding of the data and the limits of data acquisition，and information systems are usually incomplete.In order to address the relative and absolute information of the incomplete information system，this paper develops two generalized multigranulation double－relative－quantitative decision－theoretic rough sets(GMDrq－DTRS)by combing generalized multigranulation decision－rough sets(GM－DTRS)and double－relative－quantitative decision rough sets(Drq－DTRS)．On the one hand，the equivalent relations between two GMDrq－DTRS and GM－DTRS and the relationship of size between their positive region and negative region are explored.On the other hand，the special relations between the positive region，negative region and boundary region of the first generalized multigranulation double－relative－quantitative decision－theoretic rough sets(GMDrq1－DTRS)and the second generalized multigranulation double－relative－quantitative decision－theoretic rough sets(GMDrq2－DTRS)are discussed under the influence of different parameters’ relations.Finally，an illustrative example is employed to illustrate the decision process of GMDrq－DTRS established in the paper and show the relationships between GMDrq－DTRS and other rough set models by taking different parameters.
Li Jing，Wang Lidong*.
Generalized multigranulation double－relative－quantitative decision－theoretic rough sets in incomplete information system[J]. Journal of Nanjing University(Natural Sciences), 2017, 53(4): 782
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