Construction of n-ary F-polygroups

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• 作者：B. Davvaz ; ^{davvaz@yazd.ac.ir" class="auth_mail}
• 关键词：Fuzzy set ; n-Ary hyperoperation ; n-Ary hypergroup ; n-Ary polygroup ; F-hyperoperation ; n-Ary F-polygroup
• 刊名：Information Sciences
• 出版年：10 August 2014
• 年：2014
• 卷：275
• 期：Complete
• 页码：199-212
• 全文大小：464 K

文摘

By an n  -ary F  -hyperoperation on a non-empty set A   we mean a function from b=MathURL&_method=retrieve&_eid=1-s2.0-S0020025514001352&_mathId=si1.gif&_user=111111111&_pii=S0020025514001352&_rdoc=1&_issn=00200255&md5=3fd6a5535251a1509c2a141165c135c6" title="Click to view the MathML source">A×鈰?times;A to the set of all non-zero fuzzy subsets of A, where A appears n times. Using this concept we introduce the notion of n-ary F-polygroups which is a generalization of ideas presented by Zahedi, Hasankhani and Davvaz et al. Some basic results are obtained.