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Title Convexity in ordered structures Subtitle dizertačná práca Author info Pedro Huidobro; školiteľ: Vladimír Janiš Author Huidobro Pedro 1994-
Another authors Janiš Vladimír 1963- (Školiteľ (konzultant))
Corporation Univerzita Mateja Bela . Fakulta prírodných vied . Katedra matematiky , Banská Bystrica, Slovensko Issue data Banská Bystrica , 2023. - 170 s. Keywords fuzzy množiny - fuzzy sets konvexnosť - convexity usporiadané množiny - ordered sets Form. Descr. doktorské dizertácie - higher doctoral dissertations Language English Country Slovak Republic systematics 510.22-021.167 514.172 512.5-025.16 Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xk - Kvalifikačné práce Copy count 1, currently available 0 
book
Title Postmodifiers preserving monotony Author info Michaela Bruteničová, Vladimír Janiš Author Bruteničová Michaela 1995- (50%) UMBFP10 - Katedra matematiky
Co-authors Janiš Vladimír 1963- (50%) UMBFP10 - Katedra matematiky
Source document International Symposium on Fuzzy Sets : Uncertainty modelling : abstracts. 2023), Pp. 26-27. - Rzeszów : Wydawnictwo Uniwersytetu Rzeszowskiego, 2023 ; International Symposium on Fuzzy Sets medzinárodné sympózium Keywords fuzzy množiny - fuzzy sets konvexnosť - convexity teória rozhodovania Form. Descr. abstrakty - abstracts Language English Country Poland Annotation A comparison between two fuzzy sets can be done by different comparison measures, by considering different points of view. In some cases these are measures of the equality degree (e.g. similarity measures) and in other cases the difference degree (e.g. dissimilarity measures, divergence measures and distance measures). Among these measures, divergences appear as a good alternative in some cases. URL Link na zdrojový dokument Public work category AFG No. of Archival Copy 54078 Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ 
article
Title Convexity in betweenness structures Author info Huidobro Pedro ... [et al.] Author Huidobro Pedro 1994- (30%)
Co-authors Alonso Pedro (10%)
Janiš Vladimír 1963- (50%)
Montes Susana (10%)
Source document Book of abstracts of the sixteenth International Conference on Fuzzy Set Theory and Applications. Pp. 41-42. - Ostrava : Vysoká škola báňská - Technická univerzita Ostrava, 2022 ; International Conference on Fuzzy Set Theory and Applications medzinárodná konferencia Keywords konvexnosť - convexity metriky - metrics fuzzy množiny - fuzzy sets matematika - mathematics Form. Descr. abstrakty - abstracts Language English Country Czech Republic Annotation Výskum súvisu konvexnosti a relácie medziľahlosti. Charakterizácia funkcií generujúcich reláciu medziľahlosti v metrických priestoroch. URL Link na zdrojový dokument Public work category BFA No. of Archival Copy 25233 Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ article
Title Convexity of hesitant fuzzy sets based on aggregation functions Author info Pedro Huidobro ... [et al.] Author Huidobro Pedro 1994- (50%) UMBFP10 - Katedra matematiky
Co-authors Alonso Pedro (24%)
Janiš Vladimír 1963- (1%) UMBFP10 - Katedra matematiky
Montes Susana (25%)
Source document Computer Science and Information Systems. Vol. 18, no. 1 (2021), pp. 213-230. - Nový Sad : Department of Mathematics and Informatics, 2021 Keywords fuzzy množiny - fuzzy sets agregačné funkcie konvexnosť - convexity Form. Descr. články - journal articles Language English Country RS Annotation Convexity is one of the most important geometric properties of sets and a useful concept in many fields of mathematics, like optimization. As there are also important applications making use of fuzzy optimization, it is obvious that the studies of convexity are also frequent. In this paper we have extended the notion of convexity for hesitant fuzzy sets in order to fulfill some necessary properties. Namely, we have found an appropriate definition of convexity for hesitant fuzzy sets on any ordered universe based on aggregation functions such that it is compatible with the intersection, that is, the intersection of two convex hesitant fuzzy sets is a convex hesitant fuzzy set and it fulfills the cutworthy property. URL Link na plný text Public work category ADM No. of Archival Copy 49614 Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ References PERIODIKÁ-Súborný záznam periodika article
Title Orders preserving convexity under intersections for interval-valued fuzzy sets Author info Pedro Huidobro ... [et al.] Author Huidobro Pedro 1994- (50%) UMBFP10 - Katedra matematiky
Co-authors Alonso Pedro (24%)
Janiš Vladimír 1963- (1%) UMBFP10 - Katedra matematiky
Montes Susana (25%)
Source document Information processing and management of uncertainty in knowledge-based systems : 18th international conference on information processing and management of uncertainty in knowledge-based systems, IPMU 2020, Lisbon, Portugal, June 15-19, 2020, proceedings, part 3, Vol. 1239. S. 493-505. - Cham : Springer Nature Switzerland AG, 2020 ; International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems medzinárodná konferencia Keywords interval-valued fuzzy sets konvexnosť - convexity confidence intervals Form. Descr. príspevky v zborníku - proceedings papers Language English Country Germany Annotation Convexity is a very important property in many areas and the studies of this property are frequent. In this paper, we have extended the notion of convexity for interval-valued fuzzy sets based on differ- ent order between intervals. The considered orders are related and their behavior analyzed. In particular, we study the preservation of the convex- ity under intersections, where again the chosen order is essential. After this study, we can conclude the appropriate behavior of the admissible orders for this purpose. URL Link na plný text Link na konferenciu Link na konferenciu Public work category AFC No. of Archival Copy 48583 Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ article
Title Rezy zobrazení s hodnotami v čiastočne usporiadaných množinách Subtitle bakalárska práca Author info Michaela Bruteničová; školiteľ: Vladimír Janiš Author Bruteničová Michaela 1995-
Another authors Janiš Vladimír 1963- (Školiteľ (konzultant))
Corporation Univerzita Mateja Bela . Fakulta prírodných vied . Katedra matematiky , Banská Bystrica, Slovensko Issue data Banská Bystrica , 2018. - 37 s. Keywords čiastočne usporiadané množiny konvexnosť - convexity triangulárne normy Language Slovak Country Slovak Republic systematics 51 Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xk - Kvalifikačné práce Copy count 1, currently available 0, at library only 1 book
Title Convexity of hesitant fuzzy sets Author info Vladimír Janiš, Susana Montes ... [et al.] Author Janiš Vladimír 1963- (1%) UMBFP10 - Katedra matematiky
Co-authors Montes Susana (49%)
Renčová Magdaléna 1975- (50%)
Source document Journal of Intelligent & Fuzzy Systems. Vol. 34, no. 4 (2018), pp. 2099-2102. - Amsterdam : IOS Press, 2018 Keywords fuzzy množiny - fuzzy sets konvexnosť - convexity rough sets Form. Descr. články - journal articles Language English Country Netherlands systematics 51 Annotation Abstract: We show that a definition of convexity based on the convexity of the score function does not guarantee preservation of convexity under intersections and provide a concept of convexity for hesitant fuzzy sets without this backdraw. We study the relationship between convex hesitant fuzzy sets and convex rough sets as their cuts Public work category ADC No. of Archival Copy 44974 Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ References PERIODIKÁ-Súborný záznam periodika 
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File name Downloaded Size Comment JIFS162204.pdf 10 66.6 KB 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 unrecognised
Title Generalized convexities related to aggregation operators of fuzzy sets Author info Susana Díaz ... [et al.] Author Díaz Susana (5%)
Co-authors Induráin Esteban (5%)
Janiš Vladimír 1963- (80%) UMBFP10 - Katedra matematiky
Llinares Juan Vicente (5%)
Montes Susana (5%)
Source document Kybernetika. Roč. 53, č. 3 (2017), s. 383-393. - Praha : Akademie věd České republiky, 2017 Keywords fuzzy množiny - fuzzy sets konvexnosť - convexity aggregation functions Language English Country Czech Republic systematics 51 Annotation We analyze the existence of fuzzy sets of a universe that are convex with respect to cer- tain particular classes of fusion operators that merge two fuzzy sets. In addition, we study aggregation operators that preserve various classes of generalized convexity on fuzzy sets. We focus our study on fuzzy subsets of the real line, so that given a mapping F : [0, 1] × [0,1] → [0,1], a fuzzy subset, say X, of the real line is said to be F-convex if for any x,y,z ∈ R such that x ≤ y ≤ z, it holds that μX(y) ≥ F(μX(x),μX(z)), where μX : R → [0,1] stands here for the membership function that defines the fuzzy set X. We study the existence of such sets paying attention to different classes of aggregation operators (that is, the corresponding functions F , as above), and preserving F -convexity under aggregation of fuzzy sets. Among those typical classes, triangular norms T will be analyzed, giving rise to the concept of norm convexity or T-convexity, as a particular case of F-convexity. Other different kinds of generalized convexities will also be discussed as a by-product Public work category ADC No. of Archival Copy 40454 Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ References PERIODIKÁ-Súborný záznam periodika unrecognised
Title Aggregation of convex intuitionistic fuzzy sets Author info Suzana Diaz ... [et al.] Author Diaz Suzana (10%)
Co-authors Induráin Esteban (10%)
Janiš Vladimír 1963- (70%) UMBFP10 - Katedra matematiky
Montes Susana (10%)
Source document Information sciences. Vol. 308, (2015), pp. 61-71. - New York : Elsevier Science Ltd., 2015 Keywords fuzzy množiny - fuzzy sets intuitionistic fuzzy sets konvexnosť - convexity aggregation functions Language English Country United States of America systematics 51 Annotation Aggregation of intuitionistic fuzzy sets is studied from the point of view of preserving vari- ous kinds of convexity. We focus on aggregation functions for intuitionistic fuzzy sets. These functions correspond to simultaneous separate aggregations of the membership as well as of the nonmembership indicators. It is performed by means of the so-called repre- sentable functions. Sufficient and necessary conditions are analyzed in order to guarantee that the composition of two intuitionistic fuzzy sets preserves convexity Public work category ADC No. of Archival Copy 33029 Repercussion category WU, Xiu-Yun - BAI, Shi-Zhong. On M-fuzzifying JHC convex structures and M-fuzzifying Peano interval spaces. In Journal of intelligent & fuzzy systems. ISSN 1064-1246, 2016, vol. 30, no. 4, pp. 2447-2458.
SONG, Yafei - WANG, Xiaodan - WU, Wenhua - LEI, Lei - QUAN, Wen. Uncertainty measure for Atanassov’s intuitionistic fuzzy sets. In Applied intelligence. ISSN 0924-669X, 2017, vol. 46, no. 4, pp. 757-774.
WU, Xiu Yun - LI, Er Qiang - BAI, Shi Zhong. Geometric properties of M-fuzzifying convex structures. In Journal of intelligent and fuzzy systems. ISSN 1064-1246, 2017, vol. 32, no. 6, pp. 4273-4284.
RASHID, Tabasam - BEG, Ismat. Convex hesitant fuzzy sets. In Journal of intelligent and fuzzy systems. ISSN 1064-1246, 2016, vol. 30, no. 5, pp. 2791-2796.
Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ References PERIODIKÁ-Súborný záznam periodika unrecognised