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| Ultima descărcare din IBN: 2022-01-28 04:09 |
 SM ISO690:2012AKRAM, Muhammad. Fuzzy Lie ideals of Lie algebras with interval-valued membership functions
. In: Quasigroups and Related Systems, 2008, vol. 16, nr. 1(19), pp. 1-12. ISSN 1561-2848. |
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| Quasigroups and Related Systems | ||||||
| Volumul 16, Numărul 1(19) / 2008 / ISSN 1561-2848 | ||||||
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| Pag. 1-12 | ||||||
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The concept of interval-valued fuzzy sets was rst introduced by Zadeh in
1975 as a generalization of fuzzy sets. In this paper we introduce the notion
of interval-valued fuzzy Lie ideals in Lie algebras and investigate some of
their properties. Using interval-valued fuzzy Lie ideals, characterizations
of Noetherian Lie algebras are established. Construction of a quotient Lie
algebra via interval-valued fuzzy Lie ideal in a Lie algebra is given. The
interval-valued fuzzy isomorphism theorems are also established.
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| Cuvinte-cheie Lie algebra, interval-valued fuzzy set, Lie ideal, Noetherian Lie algebra |
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