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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 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 On cardinalities of finite interval-valued hesitant fuzzy sets Author info Pelayo Quirós, Pedro Alonso ... [et al.] Author Quirós Pelayo (5%)
Co-authors Alonso Pedro (5%)
Díaz Irene (5%)
Janiš Vladimír 1963- (80%) UMBFP10 - Katedra matematiky
Montes Susana (5%)
Source document Information sciences. Vol. 418-419, (2017), pp. 421-431. - New York : Elsevier Science Ltd., 2017 Keywords fuzzy množiny - fuzzy sets interval-valued fuzzy sets cardinalities Language English Country United States of America systematics 51 Annotation Certain extensions of the classical fuzzy sets have been studied in depth since they have a remarkable importance in many practical situations. We focus on finite interval-valued hesitant fuzzy sets, as they generalize the most usual sets (fuzzy sets, interval-valued fuzzy sets, intuitionistic fuzzy sets), so the results obtained can be immediately adapted to these types of sets. In addition, their membership functions are much more manageable than type-2 fuzzy sets. In this work, the cardinality of finite interval-valued hesitant fuzzy sets is studied from an axiomatic point of view, together with several properties that this definition satisfies, which enable to relate it to the classical definitions of cardinality given by other authors for fuzzy sets Public work category ADC No. of Archival Copy 40450 Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ References PERIODIKÁ-Súborný záznam periodika unrecognised
Title An axiomatic definition of cardinality for finite interval-valued hesitant fuzzy sets Author info Pelayo Quiros, Pedro Alonso, Irene Díaz, Vladimír Janiš Co-authors Quiros Pelayo (20%)
Alonso Pedro (10%)
Díaz Irene (20%)
Janiš Vladimír 1963- (50%) UMBFP10 - Katedra matematiky
Source document Advances in intelligent systems research : proceedings of the 2015 conference of the International fuzzy systems association and the European society for fuzzy logic and technology : 16th World congress of the International-Fuzzy-Systems-Association (IFSA) / 9th Conference of the European-Society-for-Fuzzy-Logic-and-Technology (EUSFLAT), Gijon, Spain, Jun 30 - July 03, 2015, Vol. 89 (2015). S. 1238-1244. - Paris : Atlantis Press, 2015 ; 6th World congress of the International-Fuzzy-Systems-Association (IFSA) svetový kongres ; 9th Conference of the European-Society-for-Fuzzy-Logic-and-Technology (EUSFLAT) konferencia Keywords fuzzy množiny - fuzzy sets intervalovo ohodnotené fuzzy množiny interval-valued fuzzy sets Language English Country France systematics 519 Annotation Recently, some extensions of the classical fuzzy sets are studied in depth due to the good properties that they present. Among them, in this paper finite interval-valued hesitant fuzzy sets are the central piece of the study, as they are a generalization of more usual sets, so the results obtained can be im- mediately adapted to them. In this work, the cardinality of finite interval- valued hesitant fuzzy sets is studied from an ax- iomatic point of view, along with several properties that this definition satisfies, being able to relate it to the classical definitions of cardinality given by Wygralak or Ralescu for fuzzy sets Public work category AFC No. of Archival Copy 35354 Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ unrecognised
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