Research On Multi-attribute Fuzzy Decision Making Method

Multi-attribute fuzzy decision?making refers to the processing of a large number of data with fuzziness and imprecision,extracting effective information from the data and making further objective and reasonable decisions.With the increase of information and the richness of data types,multi-attribute fuzzy decision-making model is more practical in dealing with practical problems.In order to deal with fuzzy and imprecise data quickly and efficiently,improve the efficiency of decision-making and ensure the rationality of decision-making,scholars at home and abroad have explored the problems in multi-attribute fuzzy decision-making from different angles and achieved remarkable results.However,due to the wide range and complexity of multi-attribute fuzzy decision-making,there are still some problems to be further explored and solved.In this paper,the similarity measure of Vague value(set)in multi-attribute fuzzy decision-making,attribute reduction in intuitionistic fuzzy information system and the determination of attribute weight in multi-attribute fuzzy decision-making are studied systematically and some effective results are obtained.To study the similarity measurement of Vague value(set),we analysed the effect of uncertain information on the similarity of Vague value(set)via the quadratic voting model,and proposed a similarity measurement method of Vague value(set).The effectiveness and feasibility of this method are verified by comparing with the existing main methods and applying this Vague value(set)similarity measure to multi-criteria fuzzy decision-making.In the study of attribute reduction of intuitionistic information system,we combined Atanassov operator with compatibility relation of fuzzy set and attribute compatibility relation,and proposed a new attribute reduction method of intuitionistic fuzzy information system.The effectiveness and superiority of this method are verified by an example.When studied the determination of attribute weight in multi-attribute fuzzy decision-making,we analyzed the main existing methods,and defined the consistency degree of each conditional attribute to the decision-making attribute on this basis.According to the consistency degree of each conditional attribute to the decision-making attribute,we proposed a method to determine the attribute weight in multi-attribute fuzzy decision-making problem.Finally,a numerical example is given to further verify the rationality of the method.In a word,the research work of this paper further enriched the related theory of multi-attribute fuzzy decision-making,and used some examples to verify the effectiveness of those methods.