- Číslo projektu:
- VEGA 1/0419/13
- Názov projektu:
- Agregačné funkcie: konštrukčné metódy, rozširovania, aplikácie
- Typ projektu:
- Výskumné projekty VEGA
- Začiatok projektu:
- 00.00.2012
- Koniec projektu:
- 00.00.2015
Konštrukcia nových typov kopúl, kvázi-kopúl a ďalších agregačných funkcií, ako i výskum ich vlastností. Rozširovanie booleovských úžitkových funkcií na úžitkové funkcie pomocou agregačných funkcií a neštandardných typov Moebiusovej transformácie a charakterizácia tried agregačných funkcií vhodných na získanie zmysluplných rozšírení. Prehĺbenie a zovšeobecnenie výsledkov o hladinovo závislých fuzzy integráloch. Štúdium fuzzy množín typu 2 a súvisiacich problémov teórie fuzzy množín. Nové metódy konštrukcie intervalovo hodnotových agregačných funkcií pomocou prípustných usporiadaní intervalov. Aplikácia získaných výsledkov v rozhodovacích procesoch, v pravdepodobnosti a štatistike, fuzzy riadení, teórii grafov a algebre.
Publikácie
2016
- Z. Takáč: Subsethood measures for interval-valued fuzzy sets based on the aggregation of interval fuzzy implications. Fuzzy Sets and Systems, zv. 283, str. 120–139, 2016.
- Z. Takáč: Avoiding the Lack of a Linear Order in Definition of OWA Operator. Editor(i): P. Kulczycki, P.A. Kowalski, S. Lukasik, V Proceedings of The Congress of Information Technology, Computational and Experimental Physics (CITCEP 2015), str. 21–26, 2016.
2015
- H. Bustince – J. Fernandez – A. Kolesárová – R. Mesiar: Directional monotonicity of fusion functions. European Journal of Operational Research, zv. 244, str. 300–308, 2015.
- L. De Miguel – H. Bustince – J. Fernandez – A. Kolesárová – R. Mesiar – B. De Baets: Construction of admissible orders for intervals. Editor(i): M. Baczynski et al., V Proc. of 8th Summer School on Aggregation Operators, University of Silesia, Katowice, str. 89–93, 2015.
- L. De Miguel – H. Bustince – E. Induráin – A. Kolesárová – R. Mesiar – B. De Baets: Construction of addmisible orders for pairs of intervals. V 16th World Congress of IFSA and 9th Conference of EUSFLAT 2015, Atlantis Press, Gijón, Spain, str. 1161–1167, 2015.
- E. Klement – A. Kolesárová – R. Mesiar – S. Saminger-Platz: Ultramodularity in the construction of binary copulas. Editor(i): E. Rafajlowicz et al., V 12th Workshop on Stochastic Models, Statistics and Their Applications., Polskie Towarzystwo Matematyczne, Warszawa, str. 54–55, 2015.
- A. Kolesárová – G. Mayor – R. Mesiar: Quadratic constructions of copulas. Information Sciences, zv. 310, str. 69–76, 2015.
- A. Kolesárová – R. Mesiar: 1-Lipschitz power stable aggregation functions. Information Sciences, zv. 310, str. 57–63, 2015.
- A. Kolesárová – R. Mesiar: On linear and quadratic constructions of aggregation functions. Fuzzy Sets and Systems, zv. 283, str. 1–14, 2015.
- A. Kolesárová – R. Mesiar – J. Montero: Sequential aggregation of bags. Information Sciences, zv. 310, str. 305–314, 2015.
- A. Kolesárová – R. Mesiar – A. Stupňanová: Axiomatic generalization of OWA operators. V 16th World Congress of IFSA and 9th Conference of EUSFLAT 2015, Atlantis Press, Gijón, Spain, str. 441–446, 2015.
- A. Kolesárová – R. Mesiar – A. Stupňanová: Functional transformations of special classes of aggregation functions. Editor(i): M. Baczynski et al., V Proc. of 8th Summer School on Aggregation Operators, University of Silesia, Katowice, str. 143–147, 2015.
- Z. Takáč: A linear order and OWA operator for discrete gradual real numbers. Editor(i): José M. Alonso, Humberto Bustince, Marek Reformat, V Proceedings of the 2015 Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and Technology, Atlantis Press, str. 260–266, 2015.
2014
- H. Bustince – L. De Miguel – E. Barrenechea – M. Pagola – R. Mesiar – A. Kolesárová: Penalty functions in a Cartesian product of lattices. Editor(i): F. Karacal, R. Mesiar, V International Symposium on Bounded Lattices. Abstracts, Karadeniz Technical University, str. 18–18, 2014.
- H. Bustince – J. Fernandez – A. Kolesárová – R. Mesiar: Fusion functions and directional monotonicity. Editor(i): A. Laurent et al., V Communications in Computer and Information Science, Springer International Publishing, č. 444, str. 262–268, 2014.
- H. Bustince – D. Paternain – A. Jurio – A. Kolesárová – R. Mesiar: On a generalization of the notion of monotonicity. Editor(i): B. Bedregal et al., V Proceedings of III Brasilian Congress on Fuzzy Systems, str. 663–667, 2014.
- L. De Miguel – H. Bustince – J. Fernandez – A. Kolesárová – R. Mesiar: OWA operators and Choquet integrals in Atanassov's intuitionistic fuzzy sets. V ISCAMI 2014, Book of Abstracts, Institute for Research and Applications of Fuzzy Modelling, University of Ostrava, str. 18–18, 2014.
- J. Fernandez – H. Bustince – A. Kolesárová – R. Mesiar: Fusion functions and their directional monotonicity. Editor(i): E.P. Klement et al., V Abstracts of the 12th Int. Conference on Fuzzy Set Theory and Applications, Printing House of the Armed Forces Academy of gen. M.R. Štefánik, Lipt. Mikuláš, str. 28–29, 2014.
- J. Fernandez – H. Bustince – D. Paternain – A. Jurio – R. Mesiar – A. Kolesárová: Homogeneity in a Cartesian product of lattices. Editor(i): F. Karacal, R. Mesiar, V International Symposium on Bounded Lattices. Abstracts, Karadeniz Technical University, str. 20–20, 2014.
- M. Jasem: On weak isometries in abelian directed groups. Editor(i): O. Šedivý, V. Švecová, D. Vallo, K. Vidermanová, V ACTA MATHEMATICA 17, UKF v Nitre, zv. 17, str. 63–68, 2014.
- M. Jasem: On extension of congruences to isometries in partially ordered groups, V ZAMAT 2014, Proceedings of Applied Mathematics and Informatics, Editor(i): A. Kolesárová, M. Nehéz, str. 65–70, 2014.
- E. Klement – A. Kolesárová – R. Mesiar – S. Saminger-Platz: A functional equation involving (quasi-)copulas and their duals. Editor(i): T. Flaminio et al., V 35rd Linz Seminar on Fuzzy Set Theory, Johannes Kepler Universität, Linz, str. 83–85, 2014.
- A. Kolesárová – R. Mesiar: Aggregation on L_k([0,1]). Editor(i): F. Karacal, R. Mesiar, V International Symposium on Bounded Lattices. Abstracts, Karadeniz Technical University, str. 39–40, 2014.
- A. Kolesárová – R. Mesiar – T. Ruckschlossová: Power stable aggregation functions. Fuzzy Sets and Systems, zv. 240, str. 39–50, 2014.
- D. Paternain – H. Bustince – J. Fernandez – R. Mesiar – A. Kolesárová: A class of internal fusion operators for blind image filtering. Editor(i): E.P. Klement et al., V Abstracts of the 12th Int. Conference on Fuzzy Set Theory and Applications, Printing House of the Armed Forces Academy of gen. M.R. Štefánik, Lipt. Mikuláš, str. 93–93, 2014.
- D. Paternain – H. Bustince – M. Galar – A. Kolesárová – R. Mesiar – J. Sans – P. Sussner: On the definition of capacities from overlap functions and overlap indexes. Editor(i): B. Bedregal et al., V Proceedings of III Brasilian Congress on Fuzzy Systems, str. 668–673, 2014.
- Z. Takáč: Aggregation of fuzzy truth values. Information Sciences, zv. 271, str. 1–13, 2014.
- Z. Takáč: On preservation of properties of fuzzy implications and aggregation functions by the best interval representation, V ZAMAT 2014, Proceedings of Applied Mathematics and Informatics, Editor(i): A. Kolesárová, M. Nehéz, str. 50–58, 2014.
2013
- H. Bustince – J. Fernandez – A. Kolesárová – R. Mesiar: Generation of linear orders for intervals by means of aggregation functions. Fuzzy Sets and Systems, zv. 220, str. 69–77, 2013.
- H. Bustince – M. Galar – B. Benjamin – A. Kolesárová – R. Mesiar: A new approach to interval-valued Choquet integrals and the problem of ordering in interval-valued fuzzy set applications. IEEE Trans. on Fuzzy Systems, č. 6, zv. 21, str. 1150–1162, 2013.
- Ľ. Horanská – A. Kolesárová: Construction of copulas by means of measure-preserving transformations, V Proceedings of Uncertainty Modelling, Editor(i): R. Mesiar, T. Bacigál, STU Bratislava, str. 25–33, 2013.
- A. Jurio – D. Paternain – R. Mesiar – A. Kolesárová – H. Bustince: Construction of weak homogeneity from interval homogeneity. Application to image segmentation. 2013.
- A. Kolesárová: On quadratic constructions of copulas. str. 23–27, 2013.
- A. Kolesárová – R. Mesiar: On power stable quasi-copulas. Editor(i): G. Pasi, J. Montero, D. Ciucci, V Proceedings of the 8th conference of the European Society for Fuzzy Logic and Technology, Atlantis Press, str. 161–164, 2013.
- A. Kolesárová – R. Mesiar – J. Kalická: On a new construction of 1-Lipschitz aggregation functions, quasi-copulas and copulas. Fuzzy Sets and Systems, zv. 224, str. 19–31, 2013.
- Z. Takáč: On some properties of alpha-planes of type-2 fuzzy sets. Kybernetika, č. 1, zv. 49, str. 149–163, 2013.
- Z. Takáč: Inclusion and subsethood measure for interval-valued fuzzy sets and for continuous type-2 fuzzy sets. Fuzzy Sets and Systems, zv. 224, str. 106–120, 2013.
- Z. Takáč: Properties of aggregation operators extended via extension principle, V Proceedings of Uncertainty Modelling, Editor(i): R. Mesiar, T. Bacigál, STU Bratislava, str. 67–71, 2013.
- Z. Takáč: Type-2 aggregation operators. Editor(i): G. Pasi, J. Montero, D. Ciucci, V Proceedings of the 8th conference of the European Society for Fuzzy Logic and Technology, Atlantis Press, str. 165–170, 2013.
- Z. Takáč: Representation theorem for type-2 fuzzy sets via (alpha1,alpha2)-double cuts. Revue Internationale des Sciences humaines et naturelles, č. 3, str. 85–98, 2013.
- Z. Takáč: A new representation for type-2 fuzzy sets by (alpha1,alpha2)-double cuts. Revue Internationale des Sciences humaines et naturelles, č. 2, str. 123–135, 2013.
Riešitelia