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SM ISO690:2012 JUN, Young-Bae, SONG, Seok-Zun, MUHIUDDIN, Ghulam. Subquasigroups in the framework of fuzzy points. In: Quasigroups and Related Systems, 2015, vol. 23, nr. 2(34), pp. 243-256. ISSN 1561-2848. |
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Quasigroups and Related Systems | ||||||
Volumul 23, Numărul 2(34) / 2015 / ISSN 1561-2848 | ||||||
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CZU: 512.548+519.718 | ||||||
Pag. 243-256 | ||||||
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Rezumat | ||||||
A relation between (2; 2 _ q)-fuzzy subquasigroups and (q; 2 _ q)-fuzzy subquasigroups is provided, and conditions for an (2; 2_ q)-fuzzy subquasigroup to be a (q;2_ q)-fuzzy subquasigroup are considered. Conditions for the t-q-set (resp., the t-2 _ q-set) to be a subquasigroup are provided. The notion of ("; _)-characteristic fuzzy sets is introduced. Given a subquasigroup S of a quasigroup Q; conditions for the ("; _)-characteristic fuzzy set in Q to be an (2; 2_ q)-fuzzy subquasigroup, an (2; q)-fuzzy subquasigroup, an (2; 2^ q)-fuzzy subquasigroup, a (q; q)-fuzzy subquasigroup, a (q;2)-fuzzy subquasigroup, a (q;2_q)-fuzzy subquasigroup and a (q;2 ^ q)-fuzzy subquasigroup are provided. Using the notions of (_; _)-fuzzy subquasigroup _(";_) S , conditions for the S to be a subquasigroup of Q are investigated where (_; _) is one of (2; 2_ q), (2; 2^ q), (2; q), (q;2_ q), (q;2^ q), (q;2) and (q; q). |
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