{"title":"On the Number of Distinct Fuzzy Subgroups for Some Elementary Abelian Groups and Quaternion Groups","authors":"Olayiwola Abdulhakeem, Suleiman Bashir Adamu","doi":"10.22457/ijfma.v13n1a3","DOIUrl":null,"url":null,"abstract":"In this paper we compute the number of distinct fuzzy subgroups of elementary abelian groups of the form Z Z p p × and quaternion groups of the form Q4 p with respect to an equivalence relation ≈ existing in literature. The group algorithm programming (GAP) was applied in our computation.","PeriodicalId":385922,"journal":{"name":"International Journal of Fuzzy Mathematical Archive","volume":"29 3-4","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Fuzzy Mathematical Archive","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.22457/ijfma.v13n1a3","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
In this paper we compute the number of distinct fuzzy subgroups of elementary abelian groups of the form Z Z p p × and quaternion groups of the form Q4 p with respect to an equivalence relation ≈ existing in literature. The group algorithm programming (GAP) was applied in our computation.
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