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Title New transformations of aggregation functions based on monotone systems of functions Author info LeSheng Jin ... [et al.] Author Jin Le-Sheng (20%)
Co-authors Mesiar Radko (20%)
Kalina Martin (20%)
Špirková Jana 1962- (20%) UMBEF05 - Katedra kvantitatívnych metód a informačných systémov
Borkotokey Surajit (20%)
Source document International Journal of Approximate Reasoning. Vol. 118 (2020), pp. 79-95. - New York : Elsevier Science Ltd., 2020 Keywords aggregation functions konvexná suma - convex sum kopuly - domes GCS-transformácia - GCS-transform - Generalized-Convex-Sum-Transformation Form. Descr. články - journal articles Language English Country United States of America Annotation The paper introduces a Generalized-Convex-Sum-Transformation of aggregation functions. It has the form of a transformation of aggregation functions by monotone systems of functions. A special case of the proposed Generalized-Convex-Sum-Transformation is the well-known *-product, also called the Darsow product of copulas. Similarly, our approach covers Choquet integrals with respect to capacities induced by the considered aggregation function. The paper offers basic definitions and some properties of the mentioned transformation. Various examples illustrating the transformation are presented. The paper also gives two alternative transformations of aggregation functions under which the dimension of the transformed aggregation functions is higher than that of the original one. Interestingly, if a copula is transformed, under some conditions put on the monotone systems of functions, the transformed aggregation function is again a copula. (C) 2019 Elsevier Inc. All rights reserved. Public work category ADC No. of Archival Copy 48190 Repercussion category JWAID, T. - DE MEYER, H. - ISMAIL, A. Haj - DE BAETS, B. Curved splicing of copulas. In Information sciences. ISSN 0020-0255, 2021, vol. 556, pp. 95-110.
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Title On the extended set of weights of the OWA functions Author info Gleb Beliakov, Jana Špirková, Tomasa Calvo Author Beliakov Gleb (40%)
Co-authors Špirková Jana 1962- (40%) UMBEF05 - Katedra kvantitatívnych metód a informačných systémov
Calvo Tomasa (20%)
Source document International Journal of General Systems. Vol. 49, no. 4 (2020), pp. 355-373. - Abingdon : Taylor & Francis Group, 2020 Keywords aggregation functions basis set functions Choquet integral Form. Descr. články - journal articles Language English Country Great Britian URL Link na plný text Public work category ADC No. of Archival Copy 48321 Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ References PERIODIKÁ-Súborný záznam periodika unrecognised
Title Description and properties of curve-based monotone functions Author info Mikel Sesma-Sara, Laura De Miguel ... [et al.] Author Sesma-Sara Mikel (20%)
Co-authors De Miguel Laura (16%)
López de Hierro Antonio Francisco Roldán (16%)
Špirková Jana 1962- (16%) UMBEF05 - Katedra kvantitatívnych metód a informačných systémov
Mesiar Radko (16%)
Bustince Humberto (16%)
Source document New trends in aggregation theory : 10th international summer school on aggregation operators : AGOP 2019. Pp. 195-204. - Cham : Springer Nature Switzerland AG, 2019 ; International summer school on aggregation operators medzinárodná vedecká konferencia Keywords monotonicity weak monotonicity directional monotonicity aggregation functions informačné systémy - information systems computing Form. Descr. články - journal articles Language English Country Switzerland URL Link na plný text Public work category AFC No. of Archival Copy 46502 Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ unrecognised
Title Mixture functions based on deviation and dissimilarity functions Author info Jana Špirková, Pavol Kráľ Author Špirková Jana 1962- (50%) UMBEF05 - Katedra kvantitatívnych metód a informačných systémov
Co-authors Kráľ Pavol 1978- (50%)
Source document New trends in aggregation theory : 10th international summer school on aggregation operators : AGOP 2019. Pp. 255-266. - Cham : Springer Nature Switzerland AG, 2019 ; International summer school on aggregation operators medzinárodná vedecká konferencia Keywords weak monotonicity directional monotonicity aggregation functions quantitative methods Form. Descr. príspevky v zborníku - proceedings papers Language English Country Switzerland Public work category AFC No. of Archival Copy 46536 Repercussion category PAPCO, Martin - RODRIGUEZ-MARTINEZ, Iosu - FUMANAL-IDOCIN, Javier - ALTALHI, Abdulrahman H. - BUSTINCE, Humberto. A fusion method for multi-valued data. In Information fusion. ISSN 1566-2535, 2021, vol. 71, pp. 1-10.
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Title Mixture functions and their monotonicity Author info Jana Špirková ... [et al.] Author Špirková Jana 1962- (70%) UMBEF05 - Katedra kvantitatívnych metód a informačných systémov
Co-authors Beliakov Gleb (10%)
Bustince Humberto (10%)
Fernandez Javier (10%)
Source document Information sciences. Vol. 481, (2019), pp. 520-549. - New York : Elsevier Science Ltd., 2019 Keywords aggregation functions mixture functions monotonicity weak monotonicity directional monotonicity Form. Descr. články - journal articles Language English Country United States of America systematics 334 Annotation We consider mixture functions, which are a type of weighted averages for which the corresponding weights are calculated by means of appropriate continuous functions of their inputs. In general, these mixture function need not be monotone increasing. For this reason we study sufficient conditions to ensure standard, weak and directional monotonicity for specific types of weighting functions. We also analyze directional monotonicity when differentiability is assumed. (C) 2019 Elsevier Inc. All rights reserved. Public work category ADC No. of Archival Copy 45088 Repercussion category CHEN, Juanjuan - CAI, Zhanchuan. Cardinal MK-spline signal processing : spatial interpolation and frequency domain filtering. In Information sciences. ISSN 0020-0255, 2019, vol. 495, pp. 116-135.
KHAMENEH, Azadeh Zahedi - KILICMAN, Adem. A fuzzy majority-based construction method for composed aggregation functions by using combination operator. In Information sciences. ISSN 0020-0255, 2019, vol. 505, pp. 367-387.
PAPCO, Martin - RODRIGUEZ-MARTINEZ, Iosu - FUMANAL-IDOCIN, Javier - ALTALHI, Abdulrahman H. - BUSTINCE, Humberto. A fusion method for multi-valued data. In Information fusion. ISSN 1566-2535, 2021, vol. 71, pp. 1-10.
KHAMENEH, Azadeh Zahedi - KILICMAN, Adem. Some construction methods of aggregation operators in decision-making problems: an overview. In Symmetry (Basel). ISSN 2073-8994, 2020, vol. 12, no. 5, pp. 1-20.
TANG, Hui-Chin - CHEN, Wei-Ting. Multiple optimal solutions and the best Lipschitz constants between an aggregation function and associated idempotized aggregation function. In Axioms. ISSN 2075-1680, 2021, vol. 10, no. 2, pp. 1-12.
KERK, Yi Wen - TEH, Chin Ying - TAY, Kai Meng - LIM, Chee Peng. Parametric conditions for a monotone TSK fuzzy inference system to be an n-Ary aggregation function. In IEEE transactions on fuzzy systems. ISSN 1063-6706, 2021, vol. 29, no. 7, pp. 1864-1873.
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Title Ordered weighted sum in infinite sequences environment with applications Author info Zhen Wang ... [et al.] Author Wang Zhen (10%)
Co-authors Jin Le-Sheng (30%)
Yager Ronald R. (12%)
Mesiar Radko (12%)
Kalina Martin (12%)
Špirková Jana 1962- (12%) UMBEF05 - Katedra kvantitatívnych metód a informačných systémov
Borkotokey Surajit (12%)
Source document Journal of Intelligent & Fuzzy Systems. Vol. 36, no. 3 (2019), pp. 2787-2792. - Amsterdam : IOS Press, 2019 Keywords aggregation functions rozhodovanie - decision making hodnotenie - evalvácia - evaluácia - evaluation Form. Descr. články - journal articles Language English Country Netherlands systematics 334 Annotation We study the Yager OWS aggregation and the Irregular normalized Yager OWA aggregation under infinite environment. Two evaluation problems are proposed to motivate their applications. Few distinguishing properties are discussed. We show that such aggregations use the same type of weights, infinite weights (sequence), to embody the involved preferences. Their respective applications in the fields of Scientometrics and Gradual Confidence Aggregation are proposed and analyzed. Public work category ADC No. of Archival Copy 45089 Repercussion category DURANTE, F. - FERNANDEZ SANCHEZ, J. - IGNAZZI, C. Operators invariant under finitely many input changes with applications to aggregation of sequences. In Information sciences. ISSN 0020-0255, 2021, vol. 560, pp. 271-282.
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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 unrecognised
Title Integral transformation of aggregation functions and Darsow product Author info Martin Kalina ... [et al.] Author Kalina Martin (20%)
Co-authors Mesiar Radko (20%)
Jin Le-Sheng (20%)
Špirková Jana 1962- (20%) UMBEF05 - Katedra kvantitatívnych metód a informačných systémov
Borkotokey Surajit (20%)
Source document CSASC 2018 : Slovak University of Technology in Bratislava : 11-14 September. S. 150. - Bratislava : Jednota slovenských matematikov a fyzikov, 2018 ; CSASC 2018 Česko-Slovinsko-Rakúsko-Slovensko-Katalánsky spoločný kongres matematických spoločností Keywords functions aggregation functions matematika - mathematics Form. Descr. abstrakty - abstracts Language English Country Slovak Republic systematics 51 Public work category AFH No. of Archival Copy 44563 Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ unrecognised
Title Mixture function in mortality rates aggregation Author info Samuel Hudec, Jana Špirková Author Hudec Samuel 1988- (60%) UMBFP10 - Katedra matematiky
Co-authors Špirková Jana 1962- (40%) UMBEF05 - Katedra kvantitatívnych metód a informačných systémov
Source document ISFS 2017 : the 3rd international symposium on fuzzy sets - uncertainty modelling, Rzeszów, May 19-20, 2017 : proceedings. S. 17-21. - Rzeszów : University of Rzeszów, 2017 / Bentkowska Urszula ; Drygaś Paweł ; Król Anna ; Pękala Barbara ; Rak Ewa ; ISFS 2017 medzinárodné sympózium Keywords aggregation functions mixture functions mortality rates Language English Country Poland systematics 02 Public work category AFC No. of Archival Copy 39515 Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ 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