Skip to main content
Top

2019 | OriginalPaper | Chapter

On the Influence of Admissible Orders in IVOVO

Authors : Mikel Uriz, Daniel Paternain, Humberto Bustince, Mikel Galar

Published in: Hybrid Artificial Intelligent Systems

Publisher: Springer International Publishing

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

It is known that when dealing with interval-valued data, there exist problems associated with the non-existence of a total order. In this work we investigate a reformulation of an interval-valued decomposition strategy for multi-class problems called IVOVO, and we analyze the effectiveness of considering different admissible orders in the aggregation phase of IVOVO. We demonstrate that the choice of an appropriate admissible order allows the method to obtain significant differences in terms of accuracy.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Literature
1.
go back to reference Alcalá-Fdez, J., Alcalá, R., Herrera, F.: A fuzzy association rule-based classification model for high-dimensional problems with genetic rule selection and lateral tuning. IEEE Trans. Fuzzy Syst. 19(5), 857–872 (2011)CrossRef Alcalá-Fdez, J., Alcalá, R., Herrera, F.: A fuzzy association rule-based classification model for high-dimensional problems with genetic rule selection and lateral tuning. IEEE Trans. Fuzzy Syst. 19(5), 857–872 (2011)CrossRef
2.
go back to reference Alcalá-Fdez, J., et al.: KEEL data-mining software tool: Data set repository, integration of algorithms and experimental analysis framework. J. Multiple-Valued Logic Soft Comput. 17(2–3), 255–287 (2011) Alcalá-Fdez, J., et al.: KEEL data-mining software tool: Data set repository, integration of algorithms and experimental analysis framework. J. Multiple-Valued Logic Soft Comput. 17(2–3), 255–287 (2011)
3.
go back to reference Bustince, H., et al.: A class of aggregation functions encompassing two-dimensional owa operators. Inf. Sci. 180(10), 1977–1989 (2010)MathSciNetCrossRef Bustince, H., et al.: A class of aggregation functions encompassing two-dimensional owa operators. Inf. Sci. 180(10), 1977–1989 (2010)MathSciNetCrossRef
4.
go back to reference Bustince, H., Fernandez, J., Kolesárová, A., Mesiar, R.: Generation of linear orders for intervals by means of aggregation functions. Fuzzy Sets Syst. 220, 69–77 (2013)MathSciNetCrossRef Bustince, H., Fernandez, J., Kolesárová, A., Mesiar, R.: Generation of linear orders for intervals by means of aggregation functions. Fuzzy Sets Syst. 220, 69–77 (2013)MathSciNetCrossRef
5.
go back to reference Bustince, H., Galar, M., Bedregal, B., Kolesárová, A., Mesiar, R.: A new approach to interval-valued choquet integrals and the problem of ordering in interval-valued fuzzy set applications. IEEE Trans. Fuzzy Syst. 21(6), 1150–1162 (2013)CrossRef Bustince, H., Galar, M., Bedregal, B., Kolesárová, A., Mesiar, R.: A new approach to interval-valued choquet integrals and the problem of ordering in interval-valued fuzzy set applications. IEEE Trans. Fuzzy Syst. 21(6), 1150–1162 (2013)CrossRef
6.
go back to reference Cornelis, C., Deschrijver, G., Kerre, E.E.: Advances and challenges in interval-valued fuzzy logic. Fuzzy Sets Syst. 157, 622–627 (2016)MathSciNetCrossRef Cornelis, C., Deschrijver, G., Kerre, E.E.: Advances and challenges in interval-valued fuzzy logic. Fuzzy Sets Syst. 157, 622–627 (2016)MathSciNetCrossRef
7.
go back to reference Elkano, M., Galar, M., Sanz, J., Bustince, H.: Fuzzy rule-based classification systems for multi-class problems using binary decomposition strategies: on the influence of n-dimensional overlap functions in the fuzzy reasoning method. Inf. Sci. 332, 94–114 (2016)CrossRef Elkano, M., Galar, M., Sanz, J., Bustince, H.: Fuzzy rule-based classification systems for multi-class problems using binary decomposition strategies: on the influence of n-dimensional overlap functions in the fuzzy reasoning method. Inf. Sci. 332, 94–114 (2016)CrossRef
8.
go back to reference Elkano, M., Galar, M., Sanz, J., Lucca, G., Bustince, H.: IVOVO: a new interval-valued one-vs-one approach for multi-class classification problems. In: 17th International Fuzzy Systems Association (IFSA), pp. 1–6 (2017) Elkano, M., Galar, M., Sanz, J., Lucca, G., Bustince, H.: IVOVO: a new interval-valued one-vs-one approach for multi-class classification problems. In: 17th International Fuzzy Systems Association (IFSA), pp. 1–6 (2017)
9.
go back to reference Elkano, M., et al.: Enhancing multiclass classification in FARC-HD fuzzy classifier: on the synergy between \(n\)-dimensional overlap functions and decomposition strategies. IEEE Trans. Fuzzy Syst. 23(5), 1562–1580 (2015)CrossRef Elkano, M., et al.: Enhancing multiclass classification in FARC-HD fuzzy classifier: on the synergy between \(n\)-dimensional overlap functions and decomposition strategies. IEEE Trans. Fuzzy Syst. 23(5), 1562–1580 (2015)CrossRef
10.
go back to reference Galar, M., Fernández, A., Barrenechea, E., Bustince, H., Herrera, F.: An overview of ensemble methods for binary classifiers in multi-class problems: experimental study on one-vs-one and one-vs-all schemes. Pattern Recogn. 44(8), 1761–1776 (2011)CrossRef Galar, M., Fernández, A., Barrenechea, E., Bustince, H., Herrera, F.: An overview of ensemble methods for binary classifiers in multi-class problems: experimental study on one-vs-one and one-vs-all schemes. Pattern Recogn. 44(8), 1761–1776 (2011)CrossRef
11.
go back to reference García, S., Fernández, A., Luengo, J., Herrera, F.: A study of statistical techniques and performance measures for genetics-based machine learning: accuracy and interpretability. Soft. Comput. 13(10), 959–977 (2009)CrossRef García, S., Fernández, A., Luengo, J., Herrera, F.: A study of statistical techniques and performance measures for genetics-based machine learning: accuracy and interpretability. Soft. Comput. 13(10), 959–977 (2009)CrossRef
12.
go back to reference Bustince, H., Montero, J., Pagola, M., Barrenechea, E., Gomez, D.: A survey on interval-valued fuzzy sets. In: Pedrycz, W. (ed.) Handbook of Granular Computing, vol. 1. Wiley, New Jersey (2008) Bustince, H., Montero, J., Pagola, M., Barrenechea, E., Gomez, D.: A survey on interval-valued fuzzy sets. In: Pedrycz, W. (ed.) Handbook of Granular Computing, vol. 1. Wiley, New Jersey (2008)
14.
go back to reference Ishibuchi, H., Yamamoto, T., Nakashima, T.: Hybridization of fuzzy GBML approaches for pattern classification problems. IEEE Trans. Syst. Man Cybern. B 35(2), 359–365 (2005)CrossRef Ishibuchi, H., Yamamoto, T., Nakashima, T.: Hybridization of fuzzy GBML approaches for pattern classification problems. IEEE Trans. Syst. Man Cybern. B 35(2), 359–365 (2005)CrossRef
15.
16.
go back to reference Lorena, A., Carvalho, A., Gama, J.: A review on the combination of binary classifiers in multiclass problems. Artif. Intell. Rev. 30(1–4), 19–37 (2008)CrossRef Lorena, A., Carvalho, A., Gama, J.: A review on the combination of binary classifiers in multiclass problems. Artif. Intell. Rev. 30(1–4), 19–37 (2008)CrossRef
17.
go back to reference Moreno-Torres, J., Saez, J., Herrera, F.: Study on the impact of partition-induced dataset shift on k-fold cross-validation. IEEE Trans. Neural Netw. Learn. Syst. 23(8), 1304–1312 (2012)CrossRef Moreno-Torres, J., Saez, J., Herrera, F.: Study on the impact of partition-induced dataset shift on k-fold cross-validation. IEEE Trans. Neural Netw. Learn. Syst. 23(8), 1304–1312 (2012)CrossRef
18.
go back to reference Paternain, D., Miguel, L.D., Ochoa, G., Lizasoain, I., Mesiar, R., Bustince, H.: The interval-valued choquet integral based on admissible permutations. IEEE Trans. Fuzzy Syst. (in press) Paternain, D., Miguel, L.D., Ochoa, G., Lizasoain, I., Mesiar, R., Bustince, H.: The interval-valued choquet integral based on admissible permutations. IEEE Trans. Fuzzy Syst. (in press)
19.
go back to reference Sanz, J., Fernández, A., Bustince, H., Herrera, F.: IVTURS: a linguistic fuzzy rule-based classification system based on a new interval-valued fuzzy reasoning method with tuning and rule selection. IEEE Trans. Fuzzy Syst. 21(3), 399–411 (2013) CrossRef Sanz, J., Fernández, A., Bustince, H., Herrera, F.: IVTURS: a linguistic fuzzy rule-based classification system based on a new interval-valued fuzzy reasoning method with tuning and rule selection. IEEE Trans. Fuzzy Syst. 21(3), 399–411 (2013) CrossRef
20.
go back to reference Xu, Z.S., Yager, R.R.: Some geometric aggregation operators based on intuitionistic fuzzy sets. Int. J. General Syst. 35(4), 417–433 (2006)MathSciNetCrossRef Xu, Z.S., Yager, R.R.: Some geometric aggregation operators based on intuitionistic fuzzy sets. Int. J. General Syst. 35(4), 417–433 (2006)MathSciNetCrossRef
Metadata
Title
On the Influence of Admissible Orders in IVOVO
Authors
Mikel Uriz
Daniel Paternain
Humberto Bustince
Mikel Galar
Copyright Year
2019
DOI
https://doi.org/10.1007/978-3-030-29859-3_31

Premium Partner