The Study Of Ideal Point Solution Of Multiple Attribute Decision Making Problem

Multiple Attribute Decision Making Problem discusses the ranking method and priority order of definite alternatives which are of plenty of attributes.In recent twenty years,the study of its theory and method has been made a great improvement and it has been a subject of many fields,such as Decision Science, System Engineering,Management Science and Operations Research,and so on.It has been made a tool to solve the problems of our life and this will become more and more important.The study of Multiple Attribute Decision Making Problem has been made much achievement,however,it is still been improved,Ideal Point solution discussed in the paper is a part of calculating problem of Multiple Attribute Decision Making Problem.In the paper,the solutions were as follows:1.In the paper of《TOPSIS of Multiple Attribute Decision Making Problem With Interval 2-Valued Weight》,Zhang Jijun found TOPSIS to multiple attribute decision making problem with interval 2-valued weight.This method was simple,practical and demanded less information.But there were some shortcomings in the paper,The shortcomings are analysis by using concrete examples and the "distance" is improved in this paper.Meanwhile the revision of proximity is given to calculate simply.TOPSIS is given in this paper.2.Because positive ideal plan,negative ideal plan and X_i plan of the paper Zhang Jijun's《TOPSIS of Multiple Attribute Decision Making Problem With Interval 2-Valued Weight》were all "super real cubes" with n dimensions,it is reasonable to define their distance among theirs as a scope,interval number. Because of this,the paper discussed a method-Integrated Approach of Ideal Point Solution Based on Linear Weight Adding3.In the view of minimizing the weighted sum of deviation square,the paper discussed another method-Integrated Model Based on Linear Weight Adding and Minimum Deviation4.From analysising the essence of "expectation value"-"distance" of HOU Hongfeng,LIU Sanyang,LI Yiqun's《A method based on excepted values for fuzzy multiple attribute decision making problem with preference information on alternatives》,the paper pointed out the shortcoming of ranking and discussed:Improving Method Based on Ideal Point Solution about Expectation Value...