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https://open.uns.ac.rs/handle/123456789/6893
Nаziv: | Fuzzy posets with fuzzy order applied to fuzzy ordered groups | Аutоri: | Šešelja, Branimir Tepavčević, Andreja Udovičić, Mirna |
Dаtum izdаvаnjа: | 1-јан-2014 | Čаsоpis: | Filomat | Sažetak: | © 2014, University of Nis. All rights reserved. In the framework of lattice valued structures we investigate fuzzy sub-posets of a given poset, in which the underlying set ornand the order are fuzzy and the reflexivity is specially defined. We introduce and investigate particular fuzzy sub-posets, e.g, fuzzy up-sets and down-sets, fuzzy convex sub-posets, fuzzy intervals etc. We describe the structure of the lattice of all fuzzy orders contained in a given crisp ordering. Then we apply these in defining a fuzzy ordered subgroup of an ordered group. Main features of fuzzy ordered subgroups are introduced and investigated like fuzzy positive and negative cone and fuzzy convex subgroups. | URI: | https://open.uns.ac.rs/handle/123456789/6893 | ISSN: | 03545180 | DOI: | 10.2298/FIL1409835S |
Nаlаzi sе u kоlеkciјаmа: | PMF Publikacije/Publications |
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