Fuzzy subgroups of \(n\)-ary subgroups. (Q690794)
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scientific article; zbMATH DE number 6110991
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Fuzzy subgroups of \(n\)-ary subgroups. |
scientific article; zbMATH DE number 6110991 |
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Fuzzy subgroups of \(n\)-ary subgroups. (English)
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29 November 2012
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The first fuzzification of an \(n\)-ary algebraic structure was introduced in 2000 by \textit{W. A. Dudek} [Quasigroups Relat. Syst. 7, 45-66 (2000; Zbl 0986.20069)]. The notion of intuitionistic fuzzy set in \(n\)-ary systems was defined and studied also by \textit{W. A. Dudek} [ibid. 13, No. 2, 213-228 (2005; Zbl 1109.20059)]. In this paper, the author introduces and studies the concept of \(t\)-fuzzy \(n\)-ary subgroup in an \(n\)-ary group. Several helpful examples are presented and some properties related to \(t\)-fuzzy \(n\)-ary subgroups are investigated.
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\(n\)-ary groups
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fuzzy sets
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\(t\)-norms
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fuzzy \(n\)-ary subgroups
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fuzzy \(n\)-ary relations
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