کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
10324458 | 661439 | 2005 | 19 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Mono-unary algebras are uniquely determined by their lattices of fuzzy weak subalgebras
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
هوش مصنوعی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Mono-unary algebras are uniquely determined by their lattices of fuzzy weak subalgebras Mono-unary algebras are uniquely determined by their lattices of fuzzy weak subalgebras](/preview/png/10324458.png)
چکیده انگلیسی
In this paper we give an abstract characterization of the lattices that are isomorphic to the lattice of fuzzy weak subalgebras of some partial algebra, and we show that from this lattice we can extract more information about the algebra than from its lattice of weak subalgebras. We use it to prove that the directed graph associated to a unary partial algebra is always uniquely determined (up to isomorphisms) by the algebra's lattice of fuzzy weak subalgebras, and in particular that if two mono-unary partial algebras (i.e., two partial algebras over a signature containing only one operation symbol, which is moreover unary) have their lattices of fuzzy weak subalgebras isomorphic, then they are isomorphic.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Fuzzy Sets and Systems - Volume 149, Issue 2, 16 January 2005, Pages 349-367
Journal: Fuzzy Sets and Systems - Volume 149, Issue 2, 16 January 2005, Pages 349-367
نویسندگان
W. Bartol, J. Casasnovas, F. Rosselló,