第28卷第2期2023年4月哈尔滨理工大学学报JOURNALOFHARBINUNIVERSITYOFSCIENCEANDTECHNOLOGYVol.28No.2Apr.2023q-积三角模上的Fuzzy概率积分及其应用模型王月,赵辉,乌伦华(哈尔滨理工大学理学院,哈尔滨150080)摘要:针对新设计的一对q-Fuzzy和算子,及q-Fuzzy积算子,证明满足T三角模与S三角模条件,接着定义一种k-模糊测度,并在k-模糊测度空间下定义q-Fuzzy和概率积分;最后将q-Fuzzy和概率积分应用到医疗头盔性能优化上;对医疗头盔性能优化过程中采用优序图法和改进的反熵权法计算权重;其次应用模糊概率积分和结合最大概率原则对医疗头盔性能优化状态进行评估,并对评估结果进行排序;最后用模糊概率值得出的结果与模糊综合评价法得到的结果进行对比,结果是完全一致,验证了提出的q-Fuzzy和概率积分法更加精炼准确,克服了模糊综合评价结果的模糊性和辨识性。关键词:q-Fuzzy和算子;q-Fuzzy和概率积分;医疗头盔;反熵权法;综合评判DOI:10.15938/j.jhust.2023.02.017中图分类号:TH122文献标志码:A文章编号:1007-2683(2023)02-0145-10Q-FuzzyProbabilityIntegrationonTriangularModulusandItsApplicationModelWANGYue,ZHAOHui,WULunhua(CollegeofScience,HarbinUniversityofScienceandTechnology,Harbin150080,China)Abstract:Forthenewlydesignedpairofq-Fuzzysumoperatorsandq-Fuzzyproductoperators,itisprovedthattheymeettheconditionsofTtriangularmodulusandStriangularmodulus,andthenak-fuzzymeasureisdefined,andq-Fuzzyandprobabilityintegralaredefinedunderthek-fuzzyMeasurespace;finally,q-Fuzzyandprobabilityintegralareappliedtotheperformanceoptimizationofmedicalhelmets;theoptimalsequencediagrammethodandimprovedanti-entropyweightmethodareusedtocalculatetheweightsintheprocessofoptimizingtheperformanceofmedicalhelmets.Subsequently,fuzzyprobabilityintegralscombinedwiththeprincipleofmaximumprobabilityareusedtoevaluatetheperformanceoptimizationstateofthemedicalhelmet,andranktheevaluationresults.Finally,theresultsobtainedbyfuzzyprobabilityvaluearecomparedwiththeresultobtainedbythefuzzycomprehensiveevaluationmethod,andtheresultsarecompletelyconsistent.Thisvalidatestheproposedq-Fuzzyandtheprobabilityintegralmethodaremorerefinedandaccurate,overcomingthefuzzinessandidentificationofthefuzz...
