Technologies And Their Applications Of Intelligent Information Processing Based On The Group Decision Theory

With the development of modern decision science, decision theory has been widely applied in many fields. Such as engineering design and construction, system engineering, economics and management, military, and etc. Due to the fuzziness, uncertainty of human judgment and the complexity, uncertainty of the objective things, decision makers can not give the exact numerical to the comparison of alternatives, and using the preference information of fuzzy number, interval number and language phrase will be more reasonable. To date, the group decision making of judgment matrices has obtained a lot of achievements. According to the different preference information to get the group preference information, each the judgment matrix should keep good consistency. So the research on the consistency of the judgment matrix is very important. It is also important to scientifically determine the attribute weight in the process of the comprehensive evaluation of alternatives.Based on the state-of-the-art in this field and the theory of matrix, we study whether the judgment matrix has satisfying consistency. If the judgment matrix has satisfying consistency, the ranking of alternatives can be directly given. If the judgment matrix does not have satisfying consistency, we find all the judgment elements which are illegitimate and efficiently adjust circle. Based on satisfying consistency, we study how to determine attribute weight with preference information for judgment matrix, which will provid a theoretical foundation for determining the subjective and objective weight in comprehensive evaluation of power quality.The specific contents are as follows:In section one, the mutual transformation relations of linguistic judgment matrix and other four forms of preference information, including preference ordering, utility value, reciprocal judgment matrix and complementary judgment matrix, and the mutual transformation, are researched. A mutual transformation method of linguistic judgment matrices which have different granularity is given too. This provides a theoretical foundation for decision makers according to their background and decision making preference. The judgment methods of complete consistency of linguistic judgment matrix, reciprocal judgment matrix and complementary judgment matrix are given.In section two, we judge whether a judgment matrix has satisfying consistency according to whether its0-1permutation preference relation matrix is standard0-1permutation matrix. And we further prove this condition is necessary and sufficient. The advantage of the proposed method is only simple transformation and adjustment is involved. This method also applies to the judgment matrix of existing alternatives which are equivalent. We also give another method to determine a judgment matrix whether has satisfying consistency according to the invariant factor or primary factor of its preference relation matrix. In section three, we give an approach for regulating consistency according to two order matrices. If the judgment matrix is inconsistent, a definition of cyclic matrix is presented. We can get all the teams of the judgment elements that are illegitimate form the cyclic matrix and thereby efficiently adjust circle according to the row preference value. We can also find four elements which are illegitimate according to the two order matrix. Then the ranking of alternatives and the judgment matrix with satisfying consistency can be obtained.In section four, we give methods of determine attribute weight with preference information or without. If decision makers do not give preference information, based on the standard deviation maximization, attribute value maximization, positive ideal solution minimization, negative ideal solution maximization, and methods of determine weight are given. If decision makers give preference information, methods of determine weight are presented according to the ratio of comprehensive attribute value and the corresponding preference information of reciprocal judgment matrix, complementary judgment matrix and utility value. In addition, the weights of decision makers are given based on linguistic evaluation matrix and linguistic judgment matrix.In section five, the methods of determining the subjective weight based on judgment matrix and determining the objective weight based on the attribute value are applied to the comprehensive evaluation of power quality. Though the important degree obtained form the judgment matrix which are provided by experts or electric users, the subjective weights can be obtained according to the proportion of total degree of importance. According to the actual detected data at time of the various levels of the power index, the objective weights are obtained by using methods of determining the objective attribute weight.