Computer Science ›› 2019, Vol. 46 ›› Issue (2): 230-235.doi: 10.11896/j.issn.1002-137X.2019.02.035

• Artificial Intelligence • Previous Articles     Next Articles

Novel Soft Rough Set:Soft Rough Semigroups

LU Yi-yao, KONG Xiang-zhi   

  1. School of Science,Jiangnan University,Wuxi,Jiangsu 214122,China
  • Received:2017-12-04 Online:2019-02-25 Published:2019-02-25

Abstract: In order to further simplify the method of dealing with the problem of uncertainty,this paper studied a new type of soft rough set (MSR-semigroup)on semigroups.First of all,based on some basic theories of soft sets,rough sets and semigroups,the relationship among them were deeply studied,and the operation and basic properties of soft rough sets were discussed.Then,in order to further understand the soft approximation space,the concepts of the lower and upper soft rough approximation were applied.At the same time,two special soft sets G-soft sets and GG-soft sets were proposed on semigroups,corresponding operations were given and some examples were given.Then,the roughness of the soft approximation space was discussed,the concept of MSR-semigroups was proposed,and the basic characteristics of the upper and lower MSR-semigroups were studied.Finally,a comparative analysis of example shows the research value of the soft rough semigroup.

Key words: MSR-semigroups, MSR-sets, Rough set, Soft rough set

CLC Number: 

  • O144.1
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