Construction of set pair fuzzy connection numbers and analysis of the factor influence importance
To research the system and its safety characteristics under the influence of factors,the data fuzziness and uncertainty brought by man-machine environment management must be considered.Therefore,a method that can represent the fuzziness and uncertainty of the system and data at the same time is needed.This paper proposes a mathematical method that combines fuzzy mathematical membership function and set pair analysis connection number.Firstly,the equivalence relationship between the two is discussed.The relationship includes three items.The fuzzy degree of the fuzzy membership function is equivalent to the determination and uncertainty of set pair analysis;The fuzzy semantic classification is the same as the item number of connection numbers;The membership function integral of each semantic level is the same as the item coefficient of the corresponding connection number.This to some extent indicates that the membership function is a density function corresponding to the coefficients of the connection number items.The ratio of the integral of the membership function to the total integral in each fuzzy semantic classification is used as the connection number of the set pair connection number of the corresponding semantic element,to establish a single factor to determine the fuzzy connection number.An identical discrepancy contrary three-state logic truth table is used to couple the single-factor set fuzzy connection number to form the multi-factor set fuzzy connection number.Finally,an analysis method involving system safety factors using a single factor set pair fuzzy connection numbers is proposed.Through the two factors of five-level semantic division,the set pair fuzzy connection number is constructed to ensure system safety,and the degree of influence and ranking of the two factors on system safety can then be analyzed.The research shows that associating the membership function of fuzzy mathematics with the connection number of set pair analysis can describe the fuzziness and uncertainty of data at the same time,suggesting that this method has good potential for future research and applications.
basic discipline of safety science and technologyfuzzy membership functionset pairing connection numberuncertaintymultiple factors
NETL
NSTL
万方数据
维普
