The Improvement Of FMEA Method Based On Hesitant Fuzzy Preference Relation TODIM

Failure Mode and Effect Analysis(FMEA),as an analytical tool to measure product reliability in quality management,is mainly used in the pre-prevention stage and the post-improvement stage.Through a comprehensive analysis of the potential failure modes and the causes,measures are taken to avoid failure problems(again).With the wide recognition and application of FMEA method,considering the complexity of social and economic environment and the limitations people’s thoughts,decision makers not only have hesitation and uncertainty in judging,but also have their own preferences,reference dependence and loss avoidance behavior.The traditional FMEA method cannot thoroughly solve the existing product quality problems.Multi-criteria decision-making is a discipline in which decision makers make optimal choices based on multiple criteria.Interactive multi-criteria decision-making,TODIM(Tomada de decisao interativa e multicritévio),is an effective method for multi-criteria decision-making.The TODIM method was based on the value function of prospect theory in 1992 by Brazilian scholars Gomes and Lima,thus establishing a relative dominance function of a certain scheme compared with other schemes,sorting and selecting according to the degree of dominance,thus determining the most A multi-attribute decision-making method that considers the mental behavior of decision makers.The TODIM multi-attribute decision-making method takes into account the decision-seeker’s reference dependence and loss avoidance behavior,making the decision information more real and effective.Given the background,this paper proposes an improved FMEA method based on the hesitant fuzzy preference relation TODIM,Among them,the hesitant fuzzy preference relationship improves the hesitant fuzzy uncertainty and the decision maker’s own preference;TODIM multi-attribute decision-making method takes into account the decision maker’s reference dependence and loss avoidance behavior.The improved method can completely solve the existing problems of traditional FMEA,and makes the improved method more effective.The main research methods and contents are as follows:Firstly,the background and significance of this study are discussed,and the research status of FMEA,hesitant fuzzy preference relationship and TODIM multi-attribute decision-making methods at home and abroad are analyzed.Then the conclusion are drawn about the defects of traditional FMEA and TODIM methods,and the content and innovation of this study are determined.Secondly,in Chapter three of this paper,a TODIM method for criteria with hesitant fuzzy preference relation is proposed.By putting forward the concept of hesitant fuzzy preference relation between criteria and proving its basic properties,the weights of criteria are replaced by the weights of exact values to maximize the accuracy of information in calculating the dominance of TODIM method.The method is applied to the evaluation of intelligent manufacturing.The analysis results of an example show that the proposed method is feasible and effective.Then,in Chapter 4,an improved FMEA method based on hesitant fuzzy preference relation is proposed.Firstly,the evaluation criteria of risk factors are fuzzified by hesitation,and the relative risk matrix of failure mode is processed by hesitation fuzzy preference relation.The comprehensive preference value with hesitation fuzzy preference relation is combined with hesitation fuzzy evaluation information to obtain the improved risk priority number.Finally,the TODIM method with hesitant fuzzy preference relation and the evaluation information value with hesitant fuzzy preference relation are further improved on the traditional FMEA method.The improved FMEA model is applied to product development,and the validity of this method is verified by an example.