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Set-based extended quasi-overlap functions. Inf Sci (N Y) 2023. [DOI: 10.1016/j.ins.2022.12.106] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/07/2023]
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2
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The aggregation of Z-numbers based on overlap functions and grouping functions and its application on group decision-making. Inf Sci (N Y) 2022. [DOI: 10.1016/j.ins.2022.12.005] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/14/2022]
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3
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da Cruz Asmus T, Sanz JA, Dimuro GP, Fernandez J, Mesiar R, Bustince H. A methodology for controlling the information quality in interval-valued fusion processes: Theory and application. Knowl Based Syst 2022. [DOI: 10.1016/j.knosys.2022.109963] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/06/2022]
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4
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Boczek M, Kaluszka M. On the extended Choquet-Sugeno-like operator. Int J Approx Reason 2022. [DOI: 10.1016/j.ijar.2022.12.006] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/23/2022]
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5
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Constructing overlap functions via multiplicative generators on complete lattices. Int J Approx Reason 2022. [DOI: 10.1016/j.ijar.2022.09.001] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/20/2022]
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6
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Qiao J. Extension constructions of quasi-overlap functions and their derivative concepts on function spaces. Int J Approx Reason 2022. [DOI: 10.1016/j.ijar.2022.10.013] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/06/2022]
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7
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Rectangles-based discrete universal fuzzy integrals. Int J Approx Reason 2022. [DOI: 10.1016/j.ijar.2022.06.003] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/22/2022]
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8
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Batista T, Bedregal B, Moraes R. Constructing multi-layer classifier ensembles using the Choquet integral based on overlap and quasi-overlap functions. Neurocomputing 2022. [DOI: 10.1016/j.neucom.2022.05.080] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/18/2022]
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9
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$$R_{\mathscr {O}}$$-implications induced from $$C_L$$-overlap functions on complete lattices. Soft comput 2022. [DOI: 10.1007/s00500-022-07241-2] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/17/2022]
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10
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Qiao J. Discrete overlap functions: Basic properties and constructions. Int J Approx Reason 2022. [DOI: 10.1016/j.ijar.2022.07.004] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/05/2022]
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11
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CT-Integral on Interval-Valued Sugeno Probability Measure and Its Application in Multi-Criteria Decision-Making Problems. AXIOMS 2022. [DOI: 10.3390/axioms11070317] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 12/07/2022]
Abstract
It is well known that the complexity of the decision-making environment frequently coexists with the diversity of linguistic information in the decision-making process. In order to solve this kind of uncertain multi-criteria decision-making problem, reasonable measures and integrals should be established. In this paper, the discrete expression of the CT-integral on the interval-valued Sugeno probability measure is proposed. The CT-integral is the Choquet integral when the t-norm is T(x,y)=xy in the CT-integral and is a pre-aggregation function. Then, the CT-integral on interval-valued Sugeno probability measure is applied to solve end-of-life (EOL) strategy in order to determine multi-criteria decision-making problems. Compared with the general Choquet integral, the method proposed in this paper significantly improves the calculation process, that is, the calculation is simpler and the amount of calculation is smaller. A case study was performed in order to validate the effectiveness of this conclusion.
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Qiao J, Zhao B. On α-Cross-Migrativity of Overlap (0-Overlap) Functions. IEEE TRANSACTIONS ON FUZZY SYSTEMS 2022; 30:448-461. [DOI: 10.1109/tfuzz.2020.3040038] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 09/01/2023]
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13
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Application and Comparison of CC-Integrals in Business Group Decision Making. ENTERP INF SYST-UK 2022. [DOI: 10.1007/978-3-031-08965-7_7] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/26/2022]
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14
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Plechawska-Wójcik M, Karczmarek P, Krukow P, Kaczorowska M, Tokovarov M, Jonak K. Recognition of Electroencephalography-Related Features of Neuronal Network Organization in Patients With Schizophrenia Using the Generalized Choquet Integrals. Front Neuroinform 2022; 15:744355. [PMID: 34970131 PMCID: PMC8712566 DOI: 10.3389/fninf.2021.744355] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/20/2021] [Accepted: 11/09/2021] [Indexed: 11/13/2022] Open
Abstract
In this study, we focused on the verification of suitable aggregation operators enabling accurate differentiation of selected neurophysiological features extracted from resting-state electroencephalographic recordings of patients who were diagnosed with schizophrenia (SZ) or healthy controls (HC). We built the Choquet integral-based operators using traditional classification results as an input to the procedure of establishing the fuzzy measure densities. The dataset applied in the study was a collection of variables characterizing the organization of the neural networks computed using the minimum spanning tree (MST) algorithms obtained from signal-spaced functional connectivity indicators and calculated separately for predefined frequency bands using classical linear Granger causality (GC) measure. In the series of numerical experiments, we reported the results of classification obtained using numerous generalizations of the Choquet integral and other aggregation functions, which were tested to find the most appropriate ones. The obtained results demonstrate that the classification accuracy can be increased by 1.81% using the extended versions of the Choquet integral called in the literature, namely, generalized Choquet integral or pre-aggregation operators.
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Affiliation(s)
| | - Paweł Karczmarek
- Department of Computer Science, Lublin University of Technology, Lublin, Poland
| | - Paweł Krukow
- Department of Clinical Neuropsychiatry, Medical University of Lublin, Lublin, Poland
| | - Monika Kaczorowska
- Department of Computer Science, Lublin University of Technology, Lublin, Poland
| | - Mikhail Tokovarov
- Department of Computer Science, Lublin University of Technology, Lublin, Poland
| | - Kamil Jonak
- Department of Computer Science, Lublin University of Technology, Lublin, Poland.,Department of Clinical Neuropsychiatry, Medical University of Lublin, Lublin, Poland
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Boczek M, Hutník O, Kaluszka M. Choquet-Sugeno-like operator based on relation and conditional aggregation operators. Inf Sci (N Y) 2022. [DOI: 10.1016/j.ins.2021.07.063] [Citation(s) in RCA: 2] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/05/2022]
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16
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Boczek M, Halčinová L, Hutník O, Kaluszka M. Novel survival functions based on conditional aggregation operators. Inf Sci (N Y) 2021. [DOI: 10.1016/j.ins.2020.12.049] [Citation(s) in RCA: 4] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/22/2022]
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17
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18
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Cao M, Hu BQ. On interval RO- and (G,O,N)-implications derived from interval overlap and grouping functions. Int J Approx Reason 2021. [DOI: 10.1016/j.ijar.2020.10.010] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
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19
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20
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Chen CY, Huang JJ. Integration of genetic algorithms and neural networks for the formation of the classifier of the hierarchical Choquet integral. Inf Sci (N Y) 2020. [DOI: 10.1016/j.ins.2020.05.063] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/25/2022]
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21
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Bustince H, Mesiar R, Fernandez J, Galar M, Paternain D, Altalhi A, Dimuro GP, Bedregal B, Takáč Z. Dissimilarity Based Choquet Integrals. INFORMATION PROCESSING AND MANAGEMENT OF UNCERTAINTY IN KNOWLEDGE-BASED SYSTEMS 2020. [PMCID: PMC7274734 DOI: 10.1007/978-3-030-50143-3_44] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Indexed: 11/09/2022]
Abstract
In this paper, in order to generalize the Choquet integral, we replace the difference between inputs in its definition by a restricted dissimilarity function and refer to the obtained function as d-Choquet integral. For some particular restricted dissimilarity function the corresponding d-Choquet integral with respect to a fuzzy measure is just the ‘standard’ Choquet integral with respect to the same fuzzy measure. Hence, the class of all d-Choquet integrals encompasses the class of all ‘standard’ Choquet integrals. This approach allows us to construct a wide class of new functions, d-Choquet integrals, that are possibly, unlike the ’standard’ Choquet integral, outside of the scope of aggregation functions since the monotonicity is, for some restricted dissimilarity function, violated and also the range of such functions can be wider than [0, 1], in particular it can be [0, n].
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22
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Saleh E, Valls A, Moreno A, Romero-Aroca P, Bustince H, Torra V. A Hierarchically ⊥-Decomposable Fuzzy Measure-Based Approach for Fuzzy Rules Aggregation. INT J UNCERTAIN FUZZ 2019; 27:59-76. [DOI: 10.1142/s0218488519400038] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 09/01/2023]
Abstract
A Fuzzy Decision Tree is a classification method consisting of a set of rules defined on fuzzy variables. The final class assignment is done according to the output of all the rules of the tree. Generally, the maximum operator is used to aggregate the results of the rules. However, some approaches based on more complex aggregation operators have appeared recently. In this work we propose to use Sugeno and Choquet integrals together with a Hierarchically ⊥-Decomposable Fuzzy Measure (HDFM) to aggregate the rules' values. The HDFM exploits the hierarchical structure of the fuzzy decision tree and takes into account the confidence value of the output together with the classification ambiguity of the rules. The HDFM is built using Sugeno-Weber t-conorms.We validate this approach on several classification problems and make a comparison of the performance with the state of art aggregation operators. Finally, a case study with a real dataset of diabetic patients is analyzed to predict the risk of suffering from diabetic retinopathy.
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Affiliation(s)
- Emran Saleh
- Departament d’Enginyeria Informàtica i Matemàtiques, Universitat Rovira i Virgili, Tarragona, Catalonia, Spain
| | - Aida Valls
- Departament d’Enginyeria Informàtica i Matemàtiques, Universitat Rovira i Virgili, Tarragona, Catalonia, Spain
| | - Antonio Moreno
- Departament d’Enginyeria Informàtica i Matemàtiques, Universitat Rovira i Virgili, Tarragona, Catalonia, Spain
| | - Pedro Romero-Aroca
- Ophthalmic Service, University Hospital Sant Joan de Reus, Institut d’Investigació Sanitària Pere Virgili (IISPV), Universitat Rovira i Virgili, Tarragona, Catalonia, Spain
| | - Humberto Bustince
- Departamento de Estadística, Informática y Matemáticas, Institute of Smart Cities, Universidad Pública de Navarra, Navarra, Spain
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23
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Kakati P, Borkotokey S, Rahman S, Davvaz B. Interval neutrosophic hesitant fuzzy Einstein Choquet integral operator for multicriteria decision making. Artif Intell Rev 2019. [DOI: 10.1007/s10462-019-09730-7] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/26/2022]
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24
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Bentkowska U, Bazan JG, Rząsa W, Zarȩba L. Application of interval-valued aggregation to optimization problem of k−NNclassifiers for missing values case. Inf Sci (N Y) 2019. [DOI: 10.1016/j.ins.2019.02.053] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/27/2022]
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25
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Špirková J, Beliakov G, Bustince H, Fernandez J. Mixture functions and their monotonicity. Inf Sci (N Y) 2019. [DOI: 10.1016/j.ins.2018.12.090] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022]
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26
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E H, Cui Y, Pedrycz W, Li Z. Enhancements of rule-based models through refinements of Fuzzy C-Means. Knowl Based Syst 2019. [DOI: 10.1016/j.knosys.2019.01.027] [Citation(s) in RCA: 10] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/26/2022]
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27
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Dimuro GP, Bedregal B, Fernandez J, Sesma-Sara M, Pintor JM, Bustince H. The law of O-conditionality for fuzzy implications constructed from overlap and grouping functions. Int J Approx Reason 2019. [DOI: 10.1016/j.ijar.2018.11.006] [Citation(s) in RCA: 27] [Impact Index Per Article: 5.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/27/2022]
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29
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Ko LW, Lin CT, Lu YC, Bustince H, Chang YC, Chang Y, Ferandez J, Wang YK, Sanz JA, Pereira Dimuro G. Multimodal Fuzzy Fusion for Enhancing the Motor-Imagery-Based Brain Computer Interface. IEEE COMPUT INTELL M 2019. [DOI: 10.1109/mci.2018.2881647] [Citation(s) in RCA: 37] [Impact Index Per Article: 7.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/09/2022]
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30
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Wu J, Beliakov G. Probabilistic bipartition interaction index of multiple decision criteria associated with the nonadditivity of fuzzy measures. INT J INTELL SYST 2018. [DOI: 10.1002/int.22049] [Citation(s) in RCA: 20] [Impact Index Per Article: 3.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/09/2022]
Affiliation(s)
| | - Gleb Beliakov
- School of Information TechnologyDeakin UniversityBurwood Victoria Australia
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31
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Wu JZ, Beliakov G. Nonadditivity index and capacity identification method in the context of multicriteria decision making. Inf Sci (N Y) 2018. [DOI: 10.1016/j.ins.2018.08.007] [Citation(s) in RCA: 32] [Impact Index Per Article: 5.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
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32
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Beliakov G. A new type of fuzzy integrals for decision making based on bivariate symmetric means. INT J INTELL SYST 2018. [DOI: 10.1002/int.21989] [Citation(s) in RCA: 8] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/06/2022]
Affiliation(s)
- Gleb Beliakov
- School of Information Technology; Deakin University; Burwood Australia
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33
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Consensus via penalty functions for decision making in ensembles in fuzzy rule-based classification systems. Appl Soft Comput 2018. [DOI: 10.1016/j.asoc.2017.05.050] [Citation(s) in RCA: 58] [Impact Index Per Article: 9.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/20/2022]
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34
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35
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CF -integrals: A new family of pre-aggregation functions with application to fuzzy rule-based classification systems. Inf Sci (N Y) 2018. [DOI: 10.1016/j.ins.2017.12.029] [Citation(s) in RCA: 96] [Impact Index Per Article: 16.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/24/2022]
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36
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Saleh E, Valls A, Moreno A, Romero-Aroca P, Torra V, Bustince H. Learning Fuzzy Measures for Aggregation in Fuzzy Rule-Based Models. MODELING DECISIONS FOR ARTIFICIAL INTELLIGENCE 2018:114-127. [DOI: 10.1007/978-3-030-00202-2_10] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 09/01/2023]
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