Study On Methods For Group Multiple Criteria Decision Making Under Fuzzy Linguistic Situations

Decision making is inherent ablities of human and human utlize it to recognize and reform the world. Decision making prevail in our daily works and lives which refer to judgment, selection or prediction etc with our recognizing procedure and mental computing, it include not only the macroscopic decision of nations but also the individual behavioral decision. Due to the facts that complex and uncertain decision environment and the imprecise human mentality and the limitied human perception determine the uncertain normality of decision making activities. The linguistic decision making allows decision makers express their opinions with linguistic valures rather than numerical numbers, which are more approaximting the human perceptions and then both enhance the rationality and qualities of decision making and reduce their cognitive burdens in the assessments process. Thence, the linguistic decision making is becoming a hot research topic in recent years. Although many invaluable and significant contributions have been made, there still are a lot of questions needing been resolved. Meanwhile, with the development of the society and the requirement of further research, characterizing in depth the uncertain essence of world is necessary. So, how to develop some non-deterministic (fuzzy) linguistic information, which can approaximt the uncertain human perceptions and refelect precisely the genuine opinions of decision makers, is a central topic. Based on which, the dissertation conducted and completed the works as follows:(1) With respect to the pure linguistic decision making problems, the basic operational laws of linguistic varables which are different types and their values from linguistic terms sets with different granularities are intensively inversitagted, some heterogeneous pure linguistic aggregation operators used to aggregate linguistic information are presented, include the heterogeneous pure linguistic weighted averaging operator, the heterogeneous pure weighted harmonic ageraging operator, the heterogeneous pure linguistic depented ordered weighted averaging operators and the heterogeneous prue linguistic priorities aggregation operator. Then, a heterogeneous pure linguistic group multi-critera decision making method based on the proposed heterogeneous pure linguistic operators is developed to accommodate to the different granular and different types linguistic information. The effectiveness and the praticalness are verified by an illustration example.(2) With respect to the multi-types linguistic decision making problems, the linguistic distance measures of different types linguistic variables is investigated, and then some generalized linguistic hybrid weigthed distance mesures between linguistic variables vectors, uncertain linguistic variables vectors, triangular linguistic variables vectors and the trapezoidal linguistic variables vectors are proposed, their some properties and special cases are discussed. On the basis of the systermic analiysis of the TOPSIS decision making methodology, ultilizes the proposed linguistic distance measure, we presented a group multi-types linguistic TOPSIS method which can refelect the individual decision attitudes. The main advantages of the proposed method are that it can permit decisiom makers express freely their individual decision attitudes and provide their opinions with different types of linguistic information and thus allivate the decision pressure and enhance the flexibility of decision making. In addition, the proposed method provides a way to fuse the linguistic information with deifferent types.(3) With respect to group decision making problems with uncertain linguistic preference relations, some basic properties of uncertain linguistic preference information such as consensus and sonsistency are invesitegated, a consensus measure and a consistency measure are proposed and their some desirable properties are analized. Based on the results, we presented an aggregation operator to aggregate uncertain preference information, called the consensus and consistency co-induced uncertain linguistic ordered weighted averaging (C2-IULOWA) operator, which merge the consensus and consistency information into the aggregation process and make the aggregated results more scientific and reasonable. Furthermore, we developed a direct group decision making method with uncertain linguistic preference information.(4) With respect to the problems that decision makers can not express their opinions with definite linguistic information. Merging the advantages of intuitionistic fuzzy ideas into linguistic variables, we proposed the concepts of intuitionistic fuzzy linguistic variables to more exquisite elicit the uncertainties of the vagueness of decision makers’s cognitive process. On the baisis of the Lukasiewicz T-normsand T-cnorms, we defined the basic operational laws of intuitionistic fuzzy linguistic variables. And then, we presented some intuitionistic fuzzy linguistic aggregation operators, such as intuitionistic fuzzy linguistic weighted averaging operator, intuitionistic fuzzy linguistic arithmatical averaging operator, intuitionistic fuzzy linguistic ordered weighted averaging operator, and intuitionistic fuzzy linguistic hybrid weighted averaging operator and disussed briefly their desirable properties. Furthermore, based on the intuitionistic fuzzy entropy measure and the cross-entropy measure, we presented a group multi-criteria decision making method with intuitionistic fuzzy linguistic information, in which the intuitionistic fuzzy linguistic entropy measure and the cross entropy measure is utilized to determined the criteria weights, and the intuitionistic fuzzy linguistic arithmatical averaging operator is used to aggregate the the criteria values and opinions take forms of intuitionistic fuzzy linguistic information, in addition, the effective and practicle of the developed method is verified by a illustration example.(5) With respect to the problems that decision makers can only hesitantly express their opinions with multiple linguistic values rather the single linguistic value. Injecting the ideas of hesitant fuzzy into linguistic variables and presented hesitant fuzzy linguistic variables to model the hesitancy and undetermination of the decision makers’opinions, on the basis of the theory of hesitant fuzzy sets, some operational laws of hesitant fuzzy linguistic variables are defined. To synthesize hesitant fuzzy linguistic information, some hesitant fuzzy linguistic aggregation operators are presented. In addition, considering to the fact that hesitant fuzzy linguistic we further proposed some dynamic hesitant fuzzy linguistic aggregation operators. Finally, a dynamic hesitant fuzzy linguistic group multi-cirteria decision making method is developed and verified by a numerical example.(6) Comprehensively utilizing the investigated results to the electronic service quality assessment of the electronic business websites, deveopled a practical methodology of electronic service quality assessment which facilitate to the heterogeneous group consist of different custormer goups. Furthermore, the electronic service quality of four China’s notable the electronic business websites are assessed by the developed methodology.