Research On Fuzzy Multiple Attribute Decision Making Based On Dedrived Judgment Matrix

As the complexity and uncertainty of objective things, the ambiguity of human mind, the concept formed in brain is often fuzzy. Multiple attribute decision making with part or whole fuzzy attribute weights and fuzzy attribute values is called fuzzy multiple attribute decision making. Its major research object is how to gather fuzzy information and get the priority heavy of alternative programs. This thesis especially study fuzzy MADM problems basing on Judgment Matrix. The main work is as follows:The reliability of decision-making depends on the consistency of the judgment matrix, but the judgment matrix constructed by experts doesn't meet this most of the time. To ease the contradiction, we illustrate the ordinal consistency of judgment matrix and some related issues. First I gave the dentition of complete ordinal consistency and get the standard form of ordinal consistency judgment matrix .Also explain the equivalence of satisfaction consistency and ordinal consistency clearly. Thus, the structural framing of knowledge related to ordinal consistency is lie in a nutshell. Then the interactive method applies to the complementary consistency test and improvement of reciprocal judgment matrices and complementary judgment matrix were given. Eventually, based on ordinal consistency, we get a new sorting method of complementary judgment matrix and give an example.To continue, the operation theory of fuzzy number is promoted and stematized, and the problems now existing in triangle fuzzy number is analyzed. Two standard formulas of interval numbers and triangle fuzzy numbers have been put forward. Lastly, we reviewed some fuzzy number sorting method, preparing for deriving the judgment theory in the next chapter.Finally, depending on the research of two new fuzzy numbers distance formula, the definition of derived judgment matrix has been given. Combine the theory related to fuzzy judgment matrix, we complete the sorting of fuzzy number and give the exact sorting weight vector. Those theory can be used in fuzzy multiple attribute decision making, and a new fuzzy multiple attribute decision making method come into being. Finally an example has been put forward to show the effectiveness of the algorithm.