Divisible and pure fuzzy subgroups (Q910847)
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scientific article; zbMATH DE number 4142294
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Divisible and pure fuzzy subgroups |
scientific article; zbMATH DE number 4142294 |
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Divisible and pure fuzzy subgroups (English)
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1990
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The paper deals with fuzzy groups under triangular norms [cf. \textit{J. M. Anthony}, \textit{H. Sherwood}, J. Math. Anal. Appl. 69, 124-130 (1979; Zbl 0413.20041)]. After an auxiliary list of known results the authors introduce definitions of divisible and pure fuzzy groups, and describe their properties. The paper contains some misprints (cf. proofs of propositions 2.9 and 3.5) and misunderstandings (e.g. the meaning of intersection in definitions 4.1 and 4.3).
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fuzzy groups
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triangular norms
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divisible and pure fuzzy groups
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