2014
DOI: 10.55630/sjc.2013.7.355-374
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A Distance-Based Method for Attribute Reduction in Incomplete Decision Systems

Abstract: There are limitations in recent research undertaken on attribute reduction in incomplete decision systems. In this paper, we propose a distance-based method for attribute reduction in an incomplete decision system. In addition, we prove theoretically that our method is more effective than some other methods.

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(1 citation statement)
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“…Indynamiccompletedecisionsystems,manyincrementalalgorithmsforfindingreducthave beenproposedbasedontraditionalroughsetandsomeextendedroughsetsofar.Whenaddingor deleting objects, researchers proposed many incremental attribute reduction algorithms based on different measures such as distance measure (Demetrovics et al, 2014;, informationgranularity (Jing,Li,Fujita,Yu,&Wang,2017;Jing,Li,Huang,Chen,&Hong,2017), fuzzyattributedependency (Liuetal.,2017),fuzzydiscernibilityrelation (Yangetal.,2017),extended discernibilitymatrix (Langetal.,2017;Yangetal.,2017;Weietal.,2018;Maetal.,2019),positive domain (Das,Sengupta&Bhattacharyya,2018;Langetal.,2018;Haoetal.,2019),membership function (Shua,Qian&Xie,2019),simplifieddiscernibilitymatrix (Yangetal.,2019),indiscernibility relation (Nandhini&Thangadurai,2019),coveringgranularity (Caietal.,2019),informationentropy (Shu,Qian&Xie,2020),keyinstancesetinfuzzyroughset(Nietal.,2020,fuzzyroughsetbased informationentropy (Zhangetal.,2020),discernibilitymatrix(Liuetal.,2020.…”
Section: Introductionmentioning
confidence: 99%
“…Indynamiccompletedecisionsystems,manyincrementalalgorithmsforfindingreducthave beenproposedbasedontraditionalroughsetandsomeextendedroughsetsofar.Whenaddingor deleting objects, researchers proposed many incremental attribute reduction algorithms based on different measures such as distance measure (Demetrovics et al, 2014;, informationgranularity (Jing,Li,Fujita,Yu,&Wang,2017;Jing,Li,Huang,Chen,&Hong,2017), fuzzyattributedependency (Liuetal.,2017),fuzzydiscernibilityrelation (Yangetal.,2017),extended discernibilitymatrix (Langetal.,2017;Yangetal.,2017;Weietal.,2018;Maetal.,2019),positive domain (Das,Sengupta&Bhattacharyya,2018;Langetal.,2018;Haoetal.,2019),membership function (Shua,Qian&Xie,2019),simplifieddiscernibilitymatrix (Yangetal.,2019),indiscernibility relation (Nandhini&Thangadurai,2019),coveringgranularity (Caietal.,2019),informationentropy (Shu,Qian&Xie,2020),keyinstancesetinfuzzyroughset(Nietal.,2020,fuzzyroughsetbased informationentropy (Zhangetal.,2020),discernibilitymatrix(Liuetal.,2020.…”
Section: Introductionmentioning
confidence: 99%