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《College Mathematics》 2018-04
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Fuzzifying Neighborhood Systems-based Rough Approximation Operators(Ⅰ)

JIN Qiu;JIANG Xi-ke;LI Ling-qiang;Department of Mathematics,Liaocheng University;  
The notion of fuzzifying neighborhood systems is initiated from the notion of fuzzifying topological spaces.In this paper,we introduce a pair of rough approximation operators by the notion of fuzzifying neighborhood systems,and then study their basic properties.We prove that this pair of approximation operators includes many well-known rough approximation operators as their special case.Therefore,it enlarges the research scope of rough set theory.Furthermore,we also study the approximation operators generated by serial,reflexive,unary and transitive fuzzifying neighborhood systems.
【Fund】: 国家自然科学基金资助课题(11501278 11471152);; 山东省自然科学基金资助课题(ZR2013AQ011 ZR2014AQ011);; 聊城大学成人教育科研立项项目(ldcj201216);聊城大学大学生科技文化创新基金(26312170714)
【CateGory Index】: O159
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