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Názov Poset valued convexities Aut.údaje Vladimir Janiš ... [et al.] Autor Janiš Vladimír 1963- (90%) UMBFP10 - Katedra matematiky
Spoluautori Šešelja Branimir (5%)
Tepavčević Andreja (5%)
Zdroj.dok. Information sciences. Vol. 406-407, (2017), pp. 208-215. - New York : Elsevier Science Ltd., 2017 Kľúč.slová cuts poset valued mappings konvexnosť - convexity Jazyk dok. angličtina Krajina Spojené štáty Systematika 51 Anotácia 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) Kategória publikačnej činnosti ADC Číslo archívnej kópie 39596 Katal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Báza dát xpca - PUBLIKAČNÁ ČINNOSŤ Odkazy PERIODIKÁ-Súborný záznam periodika Názov Cuts of IF-sets respecting fuzzy connectives Súbež.n. Rezy IF-množín rešpektujúce fuzzy spojky Aut.údaje Vladimír Janiš Autor Janiš Vladimír 1963- (100%) UMBFP10 - Katedra matematiky
Zdroj.dok. 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 Kľúč.slová IF sets cuts fuzzy connectives negation IF množiny fuzzy spojky rezy Jazyk dok. angličtina Krajina Nemecko Systematika 51 Anotácia 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 Kategória publikačnej činnosti AFC Číslo archívnej kópie 20291 Katal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Báza dát xpca - PUBLIKAČNÁ ČINNOSŤ Názov Cut properties of resemblance Súbež.n. Vlastnosti hladín podobnosti Aut.údaje Vladimír Janiš, Magdaléna Renčová, Branimir Šešelja, Andreja Tepavčević Autor Janiš Vladimír 1963- (40%) UMBFP10 - Katedra matematiky
Spoluautori Renčová Magdaléna 1975- (40%) UMBFP10 - Katedra matematiky
Šešelja Branimir (10%)
Tepavčević Andreja (10%)
Zdroj.dok. Kybernetika. Roč. 46, č. 4 (2010), pp. 600-608. - Praha : Akademie věd České republiky, 2010 Kľúč.slová fuzzy množiny - fuzzy sets resemblance relation cuts relácia podobnosti Jazyk dok. angličtina Krajina Česká republika Systematika 51 Anotácia 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 Kategória publikačnej činnosti ADC Číslo archívnej kópie 16468 Katal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Báza dát xpca - PUBLIKAČNÁ ČINNOSŤ Odkazy PERIODIKÁ-Súborný záznam periodika