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Clustering Variables Based on Fuzzy Equivalence Relations

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Scientific Methods for the Treatment of Uncertainty in Social Sciences

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 377))

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Abstract

We develop a method of grouping (clustering) variables based on fuzzy equivalence relations. We first compute the pairwise relationship (correlation) matrix between the variables and transform the matrix into a fuzzy compatibility relation. Then a fuzzy equivalence relation is constructed by computing the transitive closure of the compatibility relation. Finally, by taking all appropriate α-cuts, we obtain a hierarchical type of variable clustering. As examples, we use the proposed method first as a variable clustering tool in a regression model and secondly as a new way of performing factor analysis.

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Acknowledgments

This research was financially supported through the university scholarship for doctoral students (KE 81516) in the section of Mathematics and Informatics, Department of Civil Engineering. The scholarship is awarded by the Research Committee of the Democritus University of Thrace.

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Authors and Affiliations

  1. Department of Civil Engineering, Democritus University of Thrace, 12, Vas. Sofias St., 67100, Xanthi, Greece

    Kingsley S. Adjenughwure, George N. Botzoris & Basil K. Papadopoulos

Authors
  1. Kingsley S. Adjenughwure
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  2. George N. Botzoris
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  3. Basil K. Papadopoulos
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Corresponding author

Correspondence to Kingsley S. Adjenughwure .

Editor information

Editors and Affiliations

  1. Royal Academy of Economic and Financial Sciences (RACEF), Barcelona, Spain

    Jaime Gil-Aluja

  2. Department of Business Management, Universitat Rovira i Virgili Faculty of Business and Economics, Reus, Spain

    Antonio Terceño-Gómez

  3. Department of Business Administration, University of Girona, Girona, Spain

    Joan Carles Ferrer-Comalat

  4. Department of Management Control and Information Systems, University of Chile, Santiago, Chile

    José M. Merigó-Lindahl

  5. Department of Business Administration, University of Girona, Girona, Spain

    Salvador Linares-Mustarós

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Adjenughwure, K.S., Botzoris, G.N., Papadopoulos, B.K. (2015). Clustering Variables Based on Fuzzy Equivalence Relations. In: Gil-Aluja, J., Terceño-Gómez, A., Ferrer-Comalat, J., Merigó-Lindahl, J., Linares-Mustarós, S. (eds) Scientific Methods for the Treatment of Uncertainty in Social Sciences. Advances in Intelligent Systems and Computing, vol 377. Springer, Cham. https://doi.org/10.1007/978-3-319-19704-3_18

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  • DOI: https://doi.org/10.1007/978-3-319-19704-3_18

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-19703-6

  • Online ISBN: 978-3-319-19704-3

  • eBook Packages: EngineeringEngineering (R0)

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