Authors: Jimenez, Jorge
Montes, Susana
Šešelja, Branimir
Tepavčević, Andreja 
Title: Characterization of L-fuzzy semi-filters and semi-ideals
Journal: 2009 International Fuzzy Systems Association World Congress and 2009 European Society for Fuzzy Logic and Technology Conference, IFSA-EUSFLAT 2009 - Proceedings
First page: 1073
Last page: 1078
Conference: 2009 International Fuzzy Systems Association World Congress, IFSA 2009 and 2009 European Society of Fuzzy Logic and Technology Conference, EUSFLAT 2009; Lisbon; Portugal; 20 July 2009 through 24 July 2009
Issue Date: 1-Dec-2009
Rank: M33
ISBN: 978-989-95079-6-8
Abstract: 
Lattice-valued up-sets and down-sets of a poset are investigated under the cutworthy approach. It is proved that the collections of all lattice valued up-sets and down-sets of a given poset are complete lattices under fuzzy inclusion. Properties of these are investigated. For a given collection of crisp up-sets of a poset, necessary and sufficient conditions are given under which the family represents a collection of cuts of a lattice valued up-set. The corresponding conditions are also obtained for the analogous case of down-sets.
Keywords: L-valued down-sets | L-valued sets (L-fuzzy sets) | L-valued up-sets
Publisher: dblp

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