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Title Poset valued convexities Author info Vladimir Janiš ... [et al.] Author Janiš Vladimír 1963- (90%) UMBFP10 - Katedra matematiky
Co-authors Šešelja Branimir (5%)
Tepavčević Andreja (5%)
Source document Information sciences. Vol. 406-407, (2017), pp. 208-215. - New York : Elsevier Science Ltd., 2017 Keywords cuts poset valued mappings konvexnosť - convexity Language English Country United States of America systematics 51 Annotation We analyze cut properties of lattice and poset valued functions (fuzzy sets) of n- dimensional real variable with respect to convexity. In the lattice valued case, convexity of a fuzzy set is equivalent with the convexity of its standard cuts. Dealing with non stan- dard cuts, we show that unless the space of the values is a chain, such statement in gen- eral does not hold. We present analogue results in the more general setting of poset valued functions. We also prove that there exist lattice and poset valued functions whose cuts are precisely the convex sets of particular families. Our work is motivated by possible applica- tions of convex functions (e.g., in image processing) Public work category ADC No. of Archival Copy 39596 Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ References PERIODIKÁ-Súborný záznam periodika 
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Title Cuts of IF-sets respecting fuzzy connectives Par.title Rezy IF-množín rešpektujúce fuzzy spojky Author info Vladimír Janiš Author Janiš Vladimír 1963- (100%) UMBFP10 - Katedra matematiky
Source document EUSFLAT - LSA 2011 : advances in intelligent systems research : proceedings of 7th Conference, 18 - 22 July 2011, Aix-Les-Bains, France. S. 33-40. - Berlin - Heidelberg : Springer Verlag, 2011 ; EUSFLAT - LSA 2011 7th Conference Keywords IF sets cuts fuzzy connectives negation IF množiny fuzzy spojky rezy Language English Country Germany systematics 51 Annotation Intuitionistic fuzzy sets (IF-sets) are a suitable tool to describe cases where it is useful to account not only the grade of membership to a collection, but also the grade of its non-membership. We consider the α-cuts of an IF-set A as crisp sets consisting of those elements x for which the truth value (in fuzzy logic) of the statement ”x belongs to A and it is not true that x does not belong to A” is at least α. We describe properties of such cuts depending on the chosen type of conjunction and negation Public work category AFC No. of Archival Copy 20291 Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ unrecognised
Title Cut properties of resemblance Par.title Vlastnosti hladín podobnosti Author info Vladimír Janiš, Magdaléna Renčová, Branimir Šešelja, Andreja Tepavčević Author Janiš Vladimír 1963- (40%) UMBFP10 - Katedra matematiky
Co-authors Renčová Magdaléna 1975- (40%) UMBFP10 - Katedra matematiky
Šešelja Branimir (10%)
Tepavčević Andreja (10%)
Source document Kybernetika. Roč. 46, č. 4 (2010), pp. 600-608. - Praha : Akademie věd České republiky, 2010 Keywords fuzzy množiny - fuzzy sets resemblance relation cuts relácia podobnosti Language English Country Czech Republic systematics 51 Annotation The resemblance relation is used to reflect some real life situations for which a fuzzy equivalence is not suitable. We study the properties of cuts for such relations. In the case of a resemblance on a real line E we show that it determines a special family of crisp functions closely connected to its cut relations. Conversely, we present conditions which should be satisfied by a collection of real functions in E in order that this collection determines a resemblance relation Public work category ADC No. of Archival Copy 16468 Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ References PERIODIKÁ-Súborný záznam periodika unrecognised