Methods For Three Way Decisions Based On Several Classes Of Extended Fuzzy Information System

As a decision model conforming to human cognitive habits,three-way decision is welcomed by decision-makers and has become a research hotspot in the field of decision analysis.With the development of the society,people are exposed to more and more complex information.In order to describe and express information more flexibly,a series of extended fuzzy sets are proposed and applied in different fields.The main research object of this thesis is three-way decision methods based on several classes of extended fuzzy information systems.The main body of the thesis is arranged as follows:The first chapter introduces the background of the research topic,the historical background of three-way decisions and several kinds of generalized fuzzy sets,and the research status.The chapter two introduces the preliminary knowledge,including all kinds of extended fuzzy sets,reliability theory and some basic concepts of three-way decision models.In chapter three,a revenue function and a cost function are defined.Based on the principle of maximum profit,three-way decision methods under the hesitant fuzzy information system are studied and finally applied to the practical application of coalfield investment project.In chapter four,the extended hesitant fuzzy decision theoretic rough sets model is proposed,and three-way decision methods are studied to calculate conditional probability using the improved TOPSIS method,which is finally applied to the selection of VR investment projects.The chapter five describes the loss function by using the single-valued triangular neutrosophic numbers,puts forward the score function of the single-valued triangular neutrosophic numbers,studies three-way decision methods based on reliability theory,and finally applies them to the maintenance strategy of factory machines.The sixth chapter introduces the conclusion of the above research and the future research direction.