Consistency Research Of Uncertain Judgment Matrix

In the decision analysis problem,it is difficult to get the exact solution between numerical's importance,the judgment of the decision makers usually may give a roughly range of value,such as interval rough number,interval number etc.The roughly range can more reflect the fuzzy uncertainty between objective things,and also more conforms to the human thinking habits.This is a paper that judgment value is interval-rough-number and interval number's analytic hierarchy process,and will research the following several aspects.Firstly,a new method of comparison between rough numbers is put forward.Interval number comparison research in the existing literature has gained fruitful results,but the study of interval rough number is relatively lack.The new comparison method fully absorb the complementary and transitivity which in the interval number comparison method for comparing,and it is the basis of ranking method of rough interval number judgment matrix in the subsequent research.Secondly,introducing exponent interval scale and exponent interval rough scale.Reasonable scale is the foundation of judgment matrix,is also the decisive factor to influence the final sort.New scale not only fully overcome the shortcomings of 1-9 scale,such as judging gap,the evaluation results contrast to the fact,consistency check and thinking consistency not harmonious,also entered the advantages of exponent index like transitivity and the average relative error less than the other.Thirdly,redefined interval rough number judgment matrix and interval number judgment matrix's consistency.Under single criterion,the consistency of judgment matrix build by Given scale degree impact directly the rule of sorting vector,also indirectly determines the final sorting vectors,so the consistency of judgment matrix judgment method Is critical.New definition of consistency From the perspective of Direct and indirect interval overlap ratio,Capture "It has the bigger range in the consistency of judgment matrix" idea.The new definition not only overcomes the disadvantage of too tight or too loose in existing literature on rough interval number judgment matrix and interval number judgment matrix consistency definition,Also referring to the methods of Saaty in consistency conditions given,through a large number of computer simulation experiment given the numerical conditions.