Marzieh Shamsizadeh, Mohammad Mehdi Zahedi, Khadijeh Abolpour
{"title":"Irreducible Fuzzy Multiset Finite Automaton","authors":"Marzieh Shamsizadeh, Mohammad Mehdi Zahedi, Khadijeh Abolpour","doi":"10.1093/comjnl/bxac193","DOIUrl":null,"url":null,"abstract":"Abstract This study aims to investigate the algebraic properties of fuzzy multiset finite automaton (FMFA), giving a congruence relation. Using the equivalence classes, a minimal accessible complete FMFA is then presented. In addition, we define the concepts of admissible relation, admissible partition for FMFA and quotient FMFA. Further, we present an algorithm which determines an admissible partition for an FMFA and we suggest the time complexity of the algorithm. In particular, we introduce a connection between the admissible partition and the quotient FMFA and we show that any quotient of a given FMFA and the FMFA itself have the same language. Furthermore, using the quotient FMFA, we obtain an irreducible FMFA with the same language.","PeriodicalId":50641,"journal":{"name":"Computer Journal","volume":null,"pages":null},"PeriodicalIF":1.5000,"publicationDate":"2023-01-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Computer Journal","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1093/comjnl/bxac193","RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"COMPUTER SCIENCE, HARDWARE & ARCHITECTURE","Score":null,"Total":0}
引用次数: 0
Abstract
Abstract This study aims to investigate the algebraic properties of fuzzy multiset finite automaton (FMFA), giving a congruence relation. Using the equivalence classes, a minimal accessible complete FMFA is then presented. In addition, we define the concepts of admissible relation, admissible partition for FMFA and quotient FMFA. Further, we present an algorithm which determines an admissible partition for an FMFA and we suggest the time complexity of the algorithm. In particular, we introduce a connection between the admissible partition and the quotient FMFA and we show that any quotient of a given FMFA and the FMFA itself have the same language. Furthermore, using the quotient FMFA, we obtain an irreducible FMFA with the same language.
期刊介绍：
The Computer Journal is one of the longest-established journals serving all branches of the academic computer science community. It is currently published in four sections.
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