{"title":"Retrospective on the risk matrix, part II: Mathematics","authors":"James A. Moseman","doi":"10.1002/prs.12614","DOIUrl":null,"url":null,"abstract":"We present a review of mathematical and engineering science foundation of the risk matrix (RM). The objective was to locate and evaluate information surrounding its use. RM is governed by number theory, set theory, metrology, and functional analysis, which explains the strengths and weakness of its use. Although incorrectly reported, ordinal multiplication rigidly sets the cell numeric allocation. No scientific support was found for changing the ordinal ranks, although one reduction is introduced. Existing evidence suggests that the RM is unreliable. An example is given. Suggestions for beneficial use of the RM are provided.","PeriodicalId":20680,"journal":{"name":"Process Safety Progress","volume":"144 1","pages":""},"PeriodicalIF":1.0000,"publicationDate":"2024-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Process Safety Progress","FirstCategoryId":"5","ListUrlMain":"https://doi.org/10.1002/prs.12614","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"ENGINEERING, CHEMICAL","Score":null,"Total":0}
引用次数: 0
Abstract
We present a review of mathematical and engineering science foundation of the risk matrix (RM). The objective was to locate and evaluate information surrounding its use. RM is governed by number theory, set theory, metrology, and functional analysis, which explains the strengths and weakness of its use. Although incorrectly reported, ordinal multiplication rigidly sets the cell numeric allocation. No scientific support was found for changing the ordinal ranks, although one reduction is introduced. Existing evidence suggests that the RM is unreliable. An example is given. Suggestions for beneficial use of the RM are provided.
期刊介绍：
Process Safety Progress covers process safety for engineering professionals. It addresses such topics as incident investigations/case histories, hazardous chemicals management, hazardous leaks prevention, risk assessment, process hazards evaluation, industrial hygiene, fire and explosion analysis, preventive maintenance, vapor cloud dispersion, and regulatory compliance, training, education, and other areas in process safety and loss prevention, including emerging concerns like plant and/or process security. Papers from the annual Loss Prevention Symposium and other AIChE safety conferences are automatically considered for publication, but unsolicited papers, particularly those addressing process safety issues in emerging technologies and industries are encouraged and evaluated equally.
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