Research On Linguistic Multiple Attribute Group Decision Making Method And Its Application

In many domains such as society, economy and military, as the complexity of objective thingsand the ambiguity of human thinking, it is difficult to judge with precise quantitative form whendecision-makers evaluate the alternatives such as knowledge management performance and riskinvestment projects. But it is often more intuitional and convenient to evaluate alternatives using"excellent","good","medium" and "poor" and other forms of natural language. The characteristicof these decision problems is that attribute values of alternatives are given in the form of naturallanguage and that expert group participates in decision-making process. This decision makingproblem is called linguistic multiple attribute group decision making problem (LMAGDM).Research on such problem has important theoretical and practical value. This paper studieslinguistic multiple attribute group decision making problem, and the primary coverage is as follows:(1) A subjective and objective attribute weights integrated approach based on the minimizingdeviation and2-tuple linguistic information processing for multi-attribute group decision makingproblem with linguistic attribute values and attribute weights values are proposed. The paperanalyses the characteristics and advantages of attribute weights determining method based on theminimizing deviation. And the detailed step is presented. An example is given to illustrate that thismethod can make full use of objective information, and can take into account the subjective viewsof decision-makers, and can effectively reduce the differences of decision-making group opinion,and can make decision-making results more reasonable.(2) For linguistic multi-attribute group decision making problem with completely unknownattribute weights information, the deviation of attribute judgment of decision making group iscalculated according to linguistic decision matrix in order to determine attribute weights. Based onthis idea, the formula for solving the attribute weights is proposed. Then the comprehensiveappraisal value of each alternative is calculated by using the weighted averaging operator forlinguistic2-tuples.(3) The paper presents two solutions of linguistic multi-attribute group decision makingproblem with incomplete attribute weights information. The first one is decision analysis methodbased on2-tuple linguistic information processing and TOPSIS. The second one is a method basedon a linear programming model and2-tuple linguistic.(4) With respect to uncertain linguistic multi-attribute group decision making problem withuncertain linguistic attribute weights information, the2-tuple linguistic decision making methodbased on attitude indicator is proposed. This method can reflect that the different decision-makershave different decision-making mentality due to their own conditions and different externalenvironment in the actual decision-making process.(5) The paper analyses the common consistent methods of multi-granularity linguistic information fusion at present. The new consistent methods of multi-granularity linguisticinformation based on2-tuple linguistic is proposed. The paper analyses and proves its some goodproperties. On this basis, a decision analysis method and step is presented for multi-granularitylinguistic multi-attribute group decision making with uncertain linguistic information.(6) The paper discusses the basic principles and methods for interactive groupdecision-making, and analyzes the imitations of the general interactive group decision makingprocess. Based on this, a improved interactive group decision-making process is proposed. Withrespect to interactive linguistic multi-attribute group decision making problem, the consistencyindicators are designed. The paper analyses interactive process, and presents expert weightadjustment method in the interactive linguistic multi-attribute group decision making process.Based on this problem description, the model and algorithm for interactive linguistic multi-attributegroup decision making is proposed. Finally, an example is given to illustrate that this method iseffective.(7) The paper analyses research status of the model and method of enterprise knowledgemanagement performance evaluation. The index system of enterprise knowledge managementperformance evaluation is constructed based on the related research of scholars at home and abroad.Applying the LMAGDM method proposed by this paper to evaluate enterprise knowledgemanagement performance. The decision-making flow of enterprise knowledge managementperformance evaluation problem is designed, and the detailed solving process of decision-making isgiven. Finally, an example is given to illustrate the application value of this method.