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Published in: International Journal of Machine Learning and Cybernetics 6/2017

12-07-2016 | Original Article

Fuzzy decision function estimation using fuzzified particle swarm optimization

Authors: Hadi Shahraki, Seyed-Hamid Zahiri

Published in: International Journal of Machine Learning and Cybernetics | Issue 6/2017

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Abstract

Present paper reports an upgrade of particle swarm optimization (PSO) algorithm for fuzzy environment by the definition of the particles as fuzzy numbers and reformulating their motion by fuzzy equations. The proposed fuzzified PSO is used to construct a set of fuzzy hyperplanes in the feature space to distinguish different classes. Fuzzy decision hyperplane assign a fuzzy membership to each sample rather than allocating to a specific class. Also the weight vector of fuzzy decision hyperplane is a set of fuzzy numbers. The proposed fuzzy classifier is called fuzzified particle swarm classifier (FPS-classifier) and its performance is evaluated by some artificial and well known benchmarks data sets.

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Literature
1.
go back to reference Askari H, Zahiri S-H (2012) Decision function estimation using intelligent gravitational search algorithm. Int J Mach Learn Cybern 3:163–172CrossRef Askari H, Zahiri S-H (2012) Decision function estimation using intelligent gravitational search algorithm. Int J Mach Learn Cybern 3:163–172CrossRef
2.
go back to reference Bahrololoum A, Nezamabadi-pour H, Bahrololoum H, Saeed M (2012) A prototype classifier based on gravitational search algorithm. Appl Soft Comput 12(2):819–825CrossRef Bahrololoum A, Nezamabadi-pour H, Bahrololoum H, Saeed M (2012) A prototype classifier based on gravitational search algorithm. Appl Soft Comput 12(2):819–825CrossRef
3.
4.
go back to reference Duda RO, Hart PE, Stork DG (2001) Pattern classification. Wiley, New YorkMATH Duda RO, Hart PE, Stork DG (2001) Pattern classification. Wiley, New YorkMATH
6.
go back to reference He YL, Wang XZ, Huang JZX (2016) Fuzzy nonlinear regression analysis using a random weight network. Inf Sci 364–365(10):222–240CrossRef He YL, Wang XZ, Huang JZX (2016) Fuzzy nonlinear regression analysis using a random weight network. Inf Sci 364–365(10):222–240CrossRef
7.
go back to reference Hrivastri S, Deshmukh R (2014) Data classification particle swarm optimization and gravitational search algorithm. Int J Innovat Res Sci Eng Technol (IJIRSET) 3(2):9734–9741 Hrivastri S, Deshmukh R (2014) Data classification particle swarm optimization and gravitational search algorithm. Int J Innovat Res Sci Eng Technol (IJIRSET) 3(2):9734–9741
8.
go back to reference A-b Ji, Chen S, Hua Q (2014) Fuzzy classifier based on fuzzy support vector machine. J Intell Fuzzy Syst 26(1):421–430MATHMathSciNet A-b Ji, Chen S, Hua Q (2014) Fuzzy classifier based on fuzzy support vector machine. J Intell Fuzzy Syst 26(1):421–430MATHMathSciNet
9.
go back to reference Kaufmann M (2015) Inductive fuzzy classification in marketing analytics. Springer International Publishing Kaufmann M (2015) Inductive fuzzy classification in marketing analytics. Springer International Publishing
10.
go back to reference Keller J, Gray M, Givens J (1985) A fuzzy k-nearest neighbor algorithm. IEEE Trans Syst Man Cybern 15:580–585CrossRef Keller J, Gray M, Givens J (1985) A fuzzy k-nearest neighbor algorithm. IEEE Trans Syst Man Cybern 15:580–585CrossRef
11.
go back to reference Keller JM, Hunt DJ (1985) Incorporating fuzzy membership functions into the perceptron algorithm. Pattern Anal Mach Intell IEEE Trans PAMI 7(6):693–699CrossRef Keller JM, Hunt DJ (1985) Incorporating fuzzy membership functions into the perceptron algorithm. Pattern Anal Mach Intell IEEE Trans PAMI 7(6):693–699CrossRef
12.
go back to reference Kennedy J, Eberhart RC (1995) Particle swarm optimization. In: Paper presented at the proceedings of the IEEE international conference on neural networks Kennedy J, Eberhart RC (1995) Particle swarm optimization. In: Paper presented at the proceedings of the IEEE international conference on neural networks
14.
go back to reference Z-g Liu, Pan Q, Dezert J, Mercier G (2014) Credal classification rule for uncertain data based on belief functions. Pattern Recogn 47(7):2532–2541CrossRef Z-g Liu, Pan Q, Dezert J, Mercier G (2014) Credal classification rule for uncertain data based on belief functions. Pattern Recogn 47(7):2532–2541CrossRef
16.
go back to reference Rahgooy T, Yazdi HS, Monsefi R (2009) Fuzzy complex system of linear equations applied to circuit analysis. Int J Comput Electr Eng 1(5):537–538 Rahgooy T, Yazdi HS, Monsefi R (2009) Fuzzy complex system of linear equations applied to circuit analysis. Int J Comput Electr Eng 1(5):537–538
17.
go back to reference Salimi J, Ghadiri N, Afrabandpey H (2015) Fuzzy least squares twin support vector machines. CoRR abs/1505.05451:1–16 Salimi J, Ghadiri N, Afrabandpey H (2015) Fuzzy least squares twin support vector machines. CoRR abs/1505.05451:1–16
18.
go back to reference Shahraki H, Zahiri S-H (2013) Design and simulation of an RF MEMS switch for removing the self: actuation and latching phenomena using PSO method. Iran J Electr Comput Eng 12:56–63 Shahraki H, Zahiri S-H (2013) Design and simulation of an RF MEMS switch for removing the self: actuation and latching phenomena using PSO method. Iran J Electr Comput Eng 12:56–63
19.
go back to reference Shahraki H, Zahiri S-H (2015) Classification of trapezoidal fuzzy data based on heuristic classifiers. Kasmera J 43:128–144 Shahraki H, Zahiri S-H (2015) Classification of trapezoidal fuzzy data based on heuristic classifiers. Kasmera J 43:128–144
20.
go back to reference Shahraki H, Zahiri S-H (2015) Particle swarm classifier for fuzzy data sets. In: Paper presented at the artificial intelligence and signal processing (AISP) Shahraki H, Zahiri S-H (2015) Particle swarm classifier for fuzzy data sets. In: Paper presented at the artificial intelligence and signal processing (AISP)
21.
go back to reference Simpson PK (1992) Fuzzy min-max neural networks. I. Classification. Neural Netw IEEE Trans 3(5):776–786CrossRef Simpson PK (1992) Fuzzy min-max neural networks. I. Classification. Neural Netw IEEE Trans 3(5):776–786CrossRef
22.
go back to reference Wang XZ (2015) Uncertainty in learning from big data-editorial. J Intell Fuzzy Syst 28(5):2329–2330CrossRef Wang XZ (2015) Uncertainty in learning from big data-editorial. J Intell Fuzzy Syst 28(5):2329–2330CrossRef
23.
go back to reference Wang XZ, Ashfaq RAR, Fu AM (2015) Fuzziness based sample categorization for classifier performance improvement. J Intell Fuzzy Syst 29(3):1185–1196CrossRefMathSciNet Wang XZ, Ashfaq RAR, Fu AM (2015) Fuzziness based sample categorization for classifier performance improvement. J Intell Fuzzy Syst 29(3):1185–1196CrossRefMathSciNet
24.
go back to reference Wang XZ, He YL, Dong LC, Zhao HY (2011) Particle swarm optimization for determining fuzzy measures from data. Inf Sci 181(19):4230–4252CrossRefMATH Wang XZ, He YL, Dong LC, Zhao HY (2011) Particle swarm optimization for determining fuzzy measures from data. Inf Sci 181(19):4230–4252CrossRefMATH
25.
go back to reference Wang XZ, Xing HJ, Li QH, Dong CR, Pedrycz W (2015) A study on relationship between generalization abilities and fuzziness of base classifiers in ensemble learning. IEEE Trans Fuzzy Syst 23(5):1638–1654CrossRef Wang XZ, Xing HJ, Li QH, Dong CR, Pedrycz W (2015) A study on relationship between generalization abilities and fuzziness of base classifiers in ensemble learning. IEEE Trans Fuzzy Syst 23(5):1638–1654CrossRef
26.
go back to reference Werro N (2015) Fuzzy classification of online customers. Springer International Publishing Werro N (2015) Fuzzy classification of online customers. Springer International Publishing
28.
go back to reference Zahiri S-H (2012) Classification rule discovery using learning automata. Int J Mach Learn Cybernet 3:205–213CrossRef Zahiri S-H (2012) Classification rule discovery using learning automata. Int J Mach Learn Cybernet 3:205–213CrossRef
29.
go back to reference Zahiri S-H, Mashhadi HR, Seyedin S-A (2005) Intelligent and robust Genetic algorithm based classifier. Iran J Electr Electron Eng 1(3):1–9 Zahiri S-H, Mashhadi HR, Seyedin S-A (2005) Intelligent and robust Genetic algorithm based classifier. Iran J Electr Electron Eng 1(3):1–9
30.
go back to reference Zahiri S-H, Seyedin S-A (2007) Swarm intelligence based classifiers. J Franklin Inst 344(5):362–376CrossRefMATH Zahiri S-H, Seyedin S-A (2007) Swarm intelligence based classifiers. J Franklin Inst 344(5):362–376CrossRefMATH
31.
go back to reference Zahiri S-H, Seyedin S-A (2009) Using multi-objective Particle Swarm optimization for designing novel classifiers. Swarm Intell Multi-object Probl Data Mining 242:65–92CrossRef Zahiri S-H, Seyedin S-A (2009) Using multi-objective Particle Swarm optimization for designing novel classifiers. Swarm Intell Multi-object Probl Data Mining 242:65–92CrossRef
Metadata
Title
Fuzzy decision function estimation using fuzzified particle swarm optimization
Authors
Hadi Shahraki
Seyed-Hamid Zahiri
Publication date
12-07-2016
Publisher
Springer Berlin Heidelberg
Published in
International Journal of Machine Learning and Cybernetics / Issue 6/2017
Print ISSN: 1868-8071
Electronic ISSN: 1868-808X
DOI
https://doi.org/10.1007/s13042-016-0561-8

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