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Research And Application Of Fuzzy Risk Analysis Method Based On Fuzzy Number Similarity

Posted on:2017-04-27Degree:MasterType:Thesis
Country:ChinaCandidate:M C ZhaoFull Text:PDF
GTID:2430330482999217Subject:Mathematics
Abstract/Summary:PDF Full Text Request
Risk is widely exist in real life,it will seriously affect production and business activities,often adverse consequences,and even irreparable disaster.Therefore,reasonable and effective risk analysis is critical.Because ambiguity and uncertainty is widespread in real life,coupled with the limitations of human cognition and subjective judgments,resulting in risk decision-making information systems not only appear in the form of precise numbers,we adopt the fuzzy risk analysis method for such system to assess risk and combine theoretical knowledge of fuzzy mathematics in such a fuzzy environment risk system.In the fuzzy risk analysis,fuzzy number similarity analysis method is one of the commonly used methods for assessing risk,this paper analyzes the existing defects of fuzzy number similarity calculation method,we put forward two kinds of different algorithms in fuzzy risk analysis system of decision-making information for the generalized fuzzy numbers and interval hesitant fuzzy element,one for the calculation of generalized fuzzy numbers similarity,the other is interval hesitate fuzzy element similarity algorithm.Firstly.the similarity calculation method of generalized fuzzy numbers is used to solve the fuzzy risk analysis problems.On the basis of in-depth analysis of existing(generalized)fuzzy numbers similarity calculation method,the paper choose two characteristic factors of generalized fuzzy numbers,including height,area,center of gravity,and the introduction of natural logarithm and parameter,some special cases can be solved before the method can not be solved,and prove some important properties of the algorithm.Comparing the proposed method with the conventional generalized fuzzy numbers similarity algorithm performance by specific examples,the proposed method is also effective to avoid decision-making information to be lost;then,the fuzzy number of similarity algorithm used to solve the fuzzy risk analysis problems in this article.Meanwhile,this paper gives the fuzzy risk analysis of the classical model and principle of step,by fuzzy risk analysis of specific examples to verify the applicability and feasibility of this algorithm.Therefore,the risk analysis method in this paper is an effective solution to solve the problem of fuzzy risk analysis.Finally,on the basis of the emerging theory of fuzzy mathematics--interval hesitation fuzzy element(set),two types of generalized interval hesitant fuzzy element distance formula are proposed,the formula meets three axioms of distance,we proposed several similarity calculation of interval hesitate fuzzy element,combined the generalized interval hesitant fuzzy element distance formula with TOPSIS methods to solve multiple attribute decision making problems about online retail enterprise warehouse site selection.
Keywords/Search Tags:Risk, The fuzzy risk analysis, The generalized fuzzy numbers, Interval hesitant fuzzy element, Similarity measure
PDF Full Text Request
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