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https://open.uns.ac.rs/handle/123456789/13815| Title: | Lattice of partially ordered fuzzy subalgebras | Authors: | Šešelja, Branimir | Issue Date: | 1-Jan-1996 | Journal: | Fuzzy Sets and Systems | Abstract: | Fuzzy subalgebras are defined to be mappings from an algebra to a poset (which can be a lattice, and also the interval [0,1]), so that every level subset is an ordinary subalgebra. Every fuzzy subalgebra has a canonical representation, a mapping from the algebra to the poset of levels. Necessary and sufficient conditions under which a fuzzy subalgebra can be explicitly described by a suitable formula in lattice theoretic terms are given. Classes of algebras for which the poset of fuzzy subalgebras is a lattice are characterized. © 1996 Elsevier Science B.V. All rights reserved. | URI: | https://open.uns.ac.rs/handle/123456789/13815 | ISSN: | 01650114 | DOI: | 10.1016/0165-0114(95)00194-8 |
| Appears in Collections: | Naučne i umetničke publikacije |
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