Research On The Evaluation Of Haze Pollution Emission Efficiency Based On Language Decision Theory

As decision-making problems become more and more complicated,the decision-making information gradually presents the characteristics of uncertainty,type,and structural diversity.How to accurately characterize decision-making information and apply it to practical problems has vital immediate significance.In order to improve the problem of missing information as much as possible,fuzzy mathematics and related methods of computing with words are introduced into decision-making problems.When dealing with complex issues,decision information is usually defined in the form of linguistic variables,while complex classes are defined as a collection of linguistic variables,that is,complex linguistic expressions.When evaluating the emission efficiency of haze pollution in various regions in China,the original data has a certain degree of complexity,which directly leads to the difficulty for evaluating governance.Therefore,this paper proposes a new linguistic decision-making method based on complex linguistic expressions.The specific research contents are as follows:1)This paper introduces the probabilistic linguistic term set that can fully express subjective linguistic information at this stage to solve the difficulty of processing source data in haze pollution,which is intricate for prevention and control.Meanwhile,this paper also integrates the data envelopment analysis to propose an envelopment analysis model based on the probabilistic linguistic term set.Then,the principle,composition,and methods for solution of the model are described in detail.The proposed model enriches the scope of application of traditional data envelopment analysis and is applied to the evaluation of the emission efficiency of various regions in China.Finally,this paper analyzes the calculation results and provides practical governance decision-making recommendations.2)Firstly,aiming at the problem of inconsistency in the linguistic preference information given by decision-makers in qualitative decision-making,this paper studies the multiplicative consistency of preference relations in the context of linguistic terms with weak hedges.Then,a method proposed to check and construct the consistency and inconsistency improving methods to meet the acceptable consistency based on the transitivity of preference relations.Finally,a hierarchical index system on the evaluation attributes for evaluating the emission efficiency of haze pollution in China is initially established.The consistency among the existing attributes is analyzed according to the linguistic preference relations provided by decision-makers.The logical feasibility of the evaluation model is also verified.3)The proposed envelopment analysis model based on the probabilistic linguistic term set is applied to evaluate the emission efficiency of haze pollution in China.Through the establishment of a hierarchical index system on the evaluation attributes that satisfy the multiplicative consistency,the ability of the original decision-making information integration is improved in this paper.The specific value of PM_2.5 emission efficiency in various regions in China and improvements have been obtained by the proposed model.In addition,this paper compares the proposed model with other related models in different dimensions,which shows that the performance of the proposed model is better than that based on the hesitant fuzzy linguistic sets.Therefore,the feasibility and practicability of the envelopment analysis model based on the probabilistic linguistic term sets are proved.This provides new ideas for the prevention and evaluation of haze pollution in China.