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

  1. 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.
  2. 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

  1. H. Bustince – J. Fernandez – A. Kolesárová – R. Mesiar: Directional monotonicity of fusion functions. European Journal of Operational Research, zv. 244, str. 300–308, 2015.
  2. 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.
  3. 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.
  4. 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.
  5. A. Kolesárová – G. Mayor – R. Mesiar: Quadratic constructions of copulas. Information Sciences, zv. 310, str. 69–76, 2015.
  6. A. Kolesárová – R. Mesiar: 1-Lipschitz power stable aggregation functions. Information Sciences, zv. 310, str. 57–63, 2015.
  7. A. Kolesárová – R. Mesiar: On linear and quadratic constructions of aggregation functions. Fuzzy Sets and Systems, zv. 283, str. 1–14, 2015.
  8. A. Kolesárová – R. Mesiar – J. Montero: Sequential aggregation of bags. Information Sciences, zv. 310, str. 305–314, 2015.
  9. 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.
  10. 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.
  11. 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

  1. 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.
  2. 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.
  3. 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.
  4. 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.
  5. 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.
  6. 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.
  7. 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.
  8. 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.
  9. 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.
  10. 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.
  11. A. Kolesárová – R. Mesiar – T. Ruckschlossová: Power stable aggregation functions. Fuzzy Sets and Systems, zv. 240, str. 39–50, 2014.
  12. 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.
  13. 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.
  14. Z. Takáč: Aggregation of fuzzy truth values. Information Sciences, zv. 271, str. 1–13, 2014.
  15. 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

  1. 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.
  2. 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.
  3. 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.
  4. A. Jurio – D. Paternain – R. Mesiar – A. Kolesárová – H. Bustince: Construction of weak homogeneity from interval homogeneity. Application to image segmentation. 2013.
  5. A. Kolesárová: On quadratic constructions of copulas. str. 23–27, 2013.
  6. 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.
  7. 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.
  8. Z. Takáč: On some properties of alpha -planes of type-2 fuzzy sets. Kybernetika, č. 1, zv. 49, str. 149–163, 2013.
  9. 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.
  10. 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.
  11. 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.
  12. 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.
  13. 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.

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