Study On Bipolar Two-tuple Linguistic Decision-making Model And Its Application Under Linguistic Environment

Multiple attribute decision making is an important part of modern decision theory.Its theory and method have been applied more and more widely in many fields,such as economy,politics and society.Because objective things always have certain uncertainty and complexity,decision makers often express their preferences in linguistic evaluation information.Therefore,the research of linguistic information decision-making has gradually aroused the attention of the academic circle.Among them,two-tuple linguistic decision making is a better way to deal with linguistic information.However,because two-tuple linguistic models use the language terminology set of positive monopole to represent the semantics of the bipolar language terminology set,there may be a violation of human intuition results.So this thesis chooses bipolar language terminology set to represent the semantic of the bipolar language terminology set.Conversion of linguistic decision information into bipolar two-tuple linguistic form for single decision,group decision and multi-stage dynamic group decision making.The main contents of this paper are as follows:(1)Bipolar two-tuple linguistic decision-making model based on cloud computing and its applicationIn the study of language type decision making,the fuzziness of linguistic evaluation information usually result in partial information loss and inaccuracy of decision results.The cloud model can describe the fuzziness and randomness of the decision object well,and can solve the problem of information loss in the process of information aggregation to some extent.In this chapter,aiming at the problem of risk decision under the condition that the evaluation information is linguistic and the criterion weight is unknown,a bipolar two-tuple linguistic decision making model based on cloud computing and prospect theory is proposed.First of all,the linguistic decision information is converted into a bipolar two-tuple linguistic form and use the G1-deviation maximization method to calculate the combined weights of the criteria.Secondly,the decision information under the multi-criteria of each state and each scheme is aggregated into a comprehensive bipolar two-tuple linguistic decision matrix by using the two element semantic weighted average operator.Then,by using the digital characteristic formula of cloud model,the integrated bipolar two-tuple linguistic decision matrix is transformed into the comprehensive cloud decision matrix,and combining foreground theory analysis method to determine the overall cloud foreground value of all schemes.Finally,the study of the case validates the scientificalness and applicability of the new algorithm.(2)Bipolar two-tuple linguistic group decision-making model based on reliability of self-selection and its applicationIn the decision-making problem that information is miscellaneous,a single decision-maker's cognition and information quantity is mastered,the decision results are difficult to be comprehensive and reasonable,so group decision making is attracting more and more attention in recent years.In the actual process of group decision making,because of the influence of various subjective and objective factors,the reliability of the evaluation information is different,and this difference has great influence on the decision results.Aiming at the complex linguistic problems of multi-criteria and multi decision makers,this paper proposes a bipolar two-tuple linguistic group decision making model based on reliability of self-selection,and applies it to the project of the new round of partner assistance to Xinjiang.First of all,the language of decision table is converted into bipolar two-tuple linguistic decision matrix,multi-criteria weight matrix of each decision maker for each scheme is calculated based on the two-tuple linguistic theory.Secondly,multi-criteria weights are used to gather evaluation information under the multiple criteria of each decision maker for each scheme,and introducing the information grayscale on the basis of the bipolar two-tuplelinguistic,and determining the comprehensive weight of decision-makers based on the priori subjective weights and their consistency of each decision maker and the information reliability;Then,the decision information matrix of each scheme given by each decision maker is aggregated into a comprehensive group decision information set for each scheme,and calculate the final aggregation results and the reliability of the results.Finally,analysis of the selection of the projects of the new round of partner assistance to Xinjiang,and verification of the scientificalness and applicability of the model.(3)Bipolar 2-tuple linguistic dynamic group decision-making model based on grey incidence degree and its applicationIn the actual decision making,decision making expert understanding of things will change with time,only rely on the characteristics of the stage itself to determine the weight of time,may lead to the final evaluation results for small discrimination to make decision situation.Therefore,the full mining of time information can meet the practical needs of multi stage dynamic group decision making.In this chapter,a bi level two tuple linguistic dynamic group decision making model based on grey relation is studied for multi decision makers who have multistage decision making under multiple criteria.First of all,the language of decision table is converted into bipolar two tuple decision matrix,and the evaluation of multi stage decision in the process of information quality analysis,put forward the evaluation scheme of quantitative and qualitative changes the decision index and expert judgment quality index;secondly,method of determining time of two tuple dynamic decision making process based on weight and the introduction of grey relational analysis theory,the two tuple time weight model was revised to two yuan time weighting bipolar semantic model is solved to determine the time and the weight of multi stage bipolar two tuple information matrix aggregation single stage decision information for the expert set;then based on the method of solving single stage linguistic assessment information for group decision making the single stage,linguistic assessment information is processed to determine the comprehensive expert weight;then,the expert information gathered in groups integrated single stage The decision information set and the reliability of the aggregated results of each scheme are calculated.Finally,the multi stage dynamic decision analysis is carried out to evaluate the new round of aid projects,which verifies the validity and reliability of the model.