Double-Quantitative Decision Rough Set Theory On The Lattice Information System

Classical rough set theory is a mathematical tool to deal with the knowledge of ambiguity and uncertainty.It has been widely concerned in many fields,but it lacks a certain degree of fault tolerance,then decision rough set model and degree rough set model as the promotion of classic rough set model,quantitative information is well considered in the establishment process,where the decision rough set model includes the relative quantitative information,and the degree rough set model includes the absolute quantitative information,in order to better consider the quantitative information of the overlap between the approximated set and the equivalent class,and improves the fault tolerance of the rough set model,Therefore,this paper mainly discusses the double-quantitative decision rough set theory based on lattice value information system.The main research work is as follows:First,according to the superior relationship of the lattice value information system,two types of single-quantitative rough set models under the lattice value information system were established,namely the degree rough set model under the lattice value information system and the decision rough set model under the lattice value information system.Secondly,two types of double-quantitative decision rough set models based on lattice-valued information systems are established.One is a double-quantitative decision rough set model based on "logical OR",and the other is the doublequantitative decision rough set model based on "logical AND" Model,after proposing these two concepts,further studied the composition of the rough areas of the two types of models,and divided the rough areas of the two types of models into three cases according to the threshold and parameters,and obtained the corresponding results.And combined with specific examples to verify that the division is correct and operable,it provides an effective method for solving rough regions.Finally,the internal relationships between several types of models are discussed,and the connections between the rough areas of several types of models are obtained through comparative analysis of specific examples.