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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 
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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 Uncertainty-aware dissimilarity measures for interval-valued fuzzy sets Author info Emilio Torres-Manzanera, Pavol Kráľ ... [et al.] Author Torres-Manzanera Emilio (33%)
Co-authors Kráľ Pavol 1978- (33%) UMBEF05 - Katedra kvantitatívnych metód a informačných systémov
Janiš Vladimír 1963- (1%) UMBFP10 - Katedra matematiky
Montes Susana (33%)
Source document International journal of uncertainty, fuzziness and knowledge-based systems. Vol. 28, no. 5 (2020), pp. 757-768. - Singapur : World Scientific Publishing, 2020 Keywords dissimilarity measure interval-valued fuzzy sets fuzzy množiny - fuzzy sets Form. Descr. články - journal articles Language English Country Singapore Annotation Dissimilarities are a very usual way to compare two fuzzy sets and also two interval- valued fuzzy sets. In both cases, the dissimilarity between two sets is a number. In this work, we introduce a generalization of the notion of dissimilarity for interval-valued fuzzy sets such that it assumes values on the set of subintervals instead of the set of numbers. This seems to be more realistic taking into account the available information. We also investigate its relationship with the classical notions of dissimilarity between fuzzy sets and we obtain that the new class is richer than the existing one. URL Link na plný text Public work category ADC No. of Archival Copy 48584 Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ References PERIODIKÁ-Súborný záznam periodika article
Title On the problem of comparing ordered ordinary fuzzy multisets Author info Ángel Riesgo, Pedro Alonso ... [et al.] Author Riesgo Ángel (5%)
Co-authors Alonso Pedro (5%)
Díaz Irene (5%)
Janiš Vladimír 1963- (40%) UMBFP10 - Katedra matematiky
Kobza Vladimír 1988- (40%) UMBFP10 - Katedra matematiky
Montes Susana (5%)
Source document Information processing and management of uncertainty in knowledge-based systems. Theory and foundations : communications in computer and information science (CCIS) : 17th international conference IPMU 2018, Cádiz, 11.-15.06.2018, Vol. 854. Pp. 344-355. - Cham : Springer International Publishing, 2018 ; Information processing and management of uncertainty in knowledge-based systems 2018 IPMU 2018 Note Authors acknowledge financial support by the Spanish Ministry under Projects TIN2014-59543-P and TIN2017-87600-P. Keywords divergence measure fuzzy multisets aggregation functions Language English Country Germany systematics 51 Annotation In this work we deal with a particular type of hesitant fuzzy set, in the case where membership values can appear multiple times and are ordered. They are called ordered ordinary fuzzy multisets. Some operations between them are introduced by means of an extension principle. In particular, the divergence measures between two of these multisets are defined and we have studied in detail the local family of divergences. Finally, these measures are related to the ones given for ordinary fuzzy sets Public work category AFC No. of Archival Copy 42852 Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ 
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Title Uncertainty-aware similarity measures for interval-valued fuzzy sets Author info Kráľ Pavol, Janiš Vladimír, Montes Susana Author Kráľ Pavol 1978- (33%) UMBEF05 - Katedra kvantitatívnych metód a informačných systémov
Co-authors Janiš Vladimír 1963- (34%) UMBFP10 - Katedra matematiky
Montes Susana (33%)
Source document FSTA 2018 : fourteenth international conference on Fuzzy Set Theory and Applications : abstracts, January 28 - February 2, 2018, Liptovský Ján. S. 64. - Liptovský Mikuláš : Akadémia ozbrojených síl generála Milana Rastislava Štefánika, 2018 ; International conference on fuzzy set theory and applications FSTA 2018 Keywords fuzzy množiny - fuzzy sets random fuzzy sets interval-valued fuzzy sets similarity measures Language English Country Slovak Republic systematics 51 Public work category AFH No. of Archival Copy 42153 Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ unrecognised
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 unrecognised
Title Generalizated local divergence measures Author info Vladimír Kobza, Vladimír Janiš, Susana Montes Author Kobza Vladimír 1988- (45%) UMBFP10 - Katedra matematiky
Co-authors Janiš Vladimír 1963- (45%) UMBFP10 - Katedra matematiky
Montes Susana (10%)
Source document Journal of Intelligent & Fuzzy Systems. Vol. 33, no. 1 (2017), pp. 337-350. - Amsterdam : IOS Press, 2017 Keywords divergence measure t-conorms localities S-locality aggregation operators Language English Country Netherlands systematics 51 Annotation The comparison of sets is an important topic with application in several fields. Divergence measures were introduced as an adequate measure of comparison of two fuzzy sets and an alternative of the dissimilarities. The particular study for local divergences is here generalized to any t-conorm instead just the sum. The concept of divergence is revisited and studied in detail. This study is complemented with the whole characterization of a new family of divergence measures, the generalized local divergence measures. Some applications of these divergences in pattern recognition and decision making illustrate their utility. Public work category ADC No. of Archival Copy 39866 Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ References PERIODIKÁ-Súborný záznam periodika unrecognised
Title Properties of extremal families of MN-convex (MN-concave) functions Author info Urszula Bentkowska ... [et al.] Author Bentkowska Urszula (5%)
Co-authors Díaz Susana (5%)
Drewniak Józef (5%)
Janiš Vladimír 1963- (80%) UMBFP10 - Katedra matematiky
Montes Susana (5%)
Source document Fuzzy Sets and Systems : An International Journal in Information Science and Engineering. Vol. 325 (2017), pp. 47-57. - Amsterdam : Elsevier B.V., 2017 Keywords convex functions aggregation functions concave functions Language English Country Netherlands systematics 51 Annotation MN-convex and MN-concave functions are examined and compared for particular cases of M and N. Characteri- zation of pairs M,N for the family of MN-convex (MN-concave) functions consisting of all functions and partial characterization of pairs M,N for the family of MN-convex functions consisting of all constant functions will be presented. The condition of MN-convexity was proposed by Aumann in 1933. It was convexity with respect to arbitrary binary means M and N (abbreviated to MN-convexity). Recently many authors have considered this notion with suitable pairs of means. Here aggregation functions M,N will be used for this type of convexity and concavity Public work category ADC No. of Archival Copy 40468 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