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https://open.uns.ac.rs/handle/123456789/31506
Nаziv: | L-E-Fuzzy Lattices | Аutоri: | Šešelja Branimir Tepavčević Andreja |
Dаtum izdаvаnjа: | 2015 | Čаsоpis: | International Journal of Fuzzy Systems | Sažetak: | © 2015 Taiwan Fuzzy Systems Association and Springer-Verlag Berlin Heidelberg. A new definition of a fuzzy lattice (L-E-fuzzy lattice) as a particular fuzzy algebraic structure is introduced in the framework of fuzzy equalities and fuzzy identities. The membership values structure is a complete lattice. An L-E-fuzzy lattice is defined on a bi-groupoid M, as its fuzzy sub-bi-groupoid μ equipped with a fuzzy equality E, fulfilling fuzzy lattice identities. It is proved that the new notion is a generalization of known lattice-valued structures. Basic properties of the introduced new fuzzy lattices are presented. In particular, it is proved that the quotients of cuts of μ over the corresponding cuts of E are classical lattices. By a suitable example, it is shown how the new introduced structures can be applied. | URI: | https://open.uns.ac.rs/handle/123456789/31506 | ISSN: | 1562-2479 | DOI: | 10.1007/s40815-015-0057-9 |
Nаlаzi sе u kоlеkciјаmа: | PMF Publikacije/Publications |
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