| Rough set theory(RS)is a mathematical tool that used to deal with incomplete information and its advantage is requiring no prior knowledge.Analytic hierarchy process(AHP)can do qualitative and quantitative analysis and its advantage is considering subjective experience scientifically.To combine both approaches and apply them to the decision-making problem would be significant.There are two types of the combinations of these approaches at present.One is the simple combinations.These practices do not produce a new way in essence.The other is the approach of rough number.But it only considers the situation that attribute value or weight is the interval rough number,has not yet considers the comparative judgment is interval rough number.And it does not fonn a complete theory of hierarchical analysis theory based on rough set.In this thesis,the objectivity of rough set is combined with the subjectivity of analytic hierarchy process by building interval rough number judgment matrix,forming a theory of analytic hierarchy process based on interval rough number and enriching the multi-attribute decision-making method of the combination of rough set and analytic hierarchy process.The contents are as follows:Firstly,the existing ranking methods about interval rough numbers is analyzed.Then this thesis gives a combination method of expectation and variance and also gives a definition of interval rough number’s compare possibility with decision makers’ preference.The relevant properties are discussed and the sorting method based on the possibility is put forward.Secondly,by analyzing the existing scale system theory and decision maker’s uncertainty of thinking,this thesis considers the situation that the judgment ratios are interval rough number.And then an interval rough scale representation method is proposed by forward cloud generator and backward cloud generator based on Cloud Model.Thirdly,this thesis constructs judgment matrix in form of interval rough number by interval rough scale.Interval rough number carries with it certain accuracy in uncertainty and it makes judgment value fall into a smaller given interval with a high probability.This thesis solves the priority vector to get the final rank of alternatives.So as to systematically build the theory of analytic hierarchy process based on interval rough number. |
