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Fuzzy Logic Augmentation of Neural and Optimization Algorithms: Theoretical Aspects and Real Applications pp 379–388Cite as

A Grey Mathematics Approach for Evolutionary Multi-objective Metaheuristic of Project Portfolio Selection

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Part of the book series: Studies in Computational Intelligence ((SCI,volume 749))

Abstract

The aim of this chapter is to present the results of the comparison between the solutions obtained with the grey mathematics and the solutions obtained without the grey mathematics. The grey mathematics is used to represent the uncertainty associate with real-life decision-making. We define a multi-objective algorithm to perform the comparison between algorithms. The results obtained show that the approach using grey mathematics outperforms the results without grey mathematics.

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References

  1. A. Salo, J. Keisler, A. Morton, An invitation to portfolio decision analysis, in Portfolio Decision Analysis (Springer, New York, 2011), pp. 3–27

    Google Scholar 

  2. K. Deb, A. Pratap, S. Agarwal, T.A.M.T. Meyarivan, A fast and elitist multiobjective genetic algorithm: NSGA-II. IEEE Trans. Evol. Comput. 6(2), 182–197 (2002)

    Article  Google Scholar 

  3. D. Ju-Long, Control problems of grey systems. Syst. Control Lett. 1(5), 288–294 (1982)

    Article  MathSciNet  MATH  Google Scholar 

  4. B. Oztaysi, A decision model for information technology selection using AHP integrated TOPSIS-Grey: the case of content management systems. Knowl.-Based Syst. 70, 44–54 (2014)

    Article  Google Scholar 

  5. D. Julong, Introduction to grey system theory. J. Grey Syst. 1(1), 1–24 (1989)

    MathSciNet  MATH  Google Scholar 

  6. Y.H. Lin, P.C. Lee, H.I. Ting, Dynamic multi-attribute decision making model with grey number evaluations. Expert Syst. Appl. 35(4), 1638–1644 (2008)

    Article  Google Scholar 

  7. D. Yamaguchi, G.D. Li, K. Mizutani, T. Akabane, M. Nagai, M. Kitaoka, On the generalization of grey relational analysis. J. Grey Syst. 9(1), 23–33 (2006)

    Google Scholar 

  8. J.R. Shi, S.Y. Liu, W.T. Xiong, A new solution for interval number linear programming. Syst. Eng.-Theory Pract. 2, 016 (2005)

    Google Scholar 

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Acknowledgements

This work has been partially supported by the following CONACyT projects: a) Fronteras de la Ciencias Project 1340; b) Consolidation National Lab Project 280712; c) Projects [236154, 269890]; d) Project 280081 Red Temática para el apoyo a la Decisión y Optimización Inteligente de Sistemas Complejos y de Gran Escala (OPTISAD) Universidad Autónoma de Nuevo León; and, e) Project 3058 from the program Cátedras CONACyT.

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Authors and Affiliations

  1. Tecnologico Nacional de Mexico, Instituto Tecnologico de Ciudad Madero, Ciudad Madero, Tamaulipas, Mexico

    Fausto Balderas, Claudia Gomez-Santillan, Laura Cruz-Reyes, Nelson Rangel-Valdez & Maria Lucila Morales-Rodríguez

  2. Universidad Autónoma de Sinaloa, Sinaloa, Mexico

    Eduardo Fernandez

Authors
  1. Fausto Balderas
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  2. Eduardo Fernandez
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  3. Claudia Gomez-Santillan
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  4. Laura Cruz-Reyes
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  5. Nelson Rangel-Valdez
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  6. Maria Lucila Morales-Rodríguez
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Corresponding author

Correspondence to Fausto Balderas .

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Editors and Affiliations

  1. Division of Graduate Studies and Research, Tijuana Institute of Technology, Tijuana, Baja California, Mexico

    Oscar Castillo

  2. Division of Graduate Studies and Research , Tijuana Institute of Technology , Tijuana, Baja California, Mexico

    Patricia Melin

  3. Systems Research Institute, Polish Academy of Sciences , Warszawa, Poland

    Janusz Kacprzyk

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Balderas, F., Fernandez, E., Gomez-Santillan, C., Cruz-Reyes, L., Rangel-Valdez, N., Morales-Rodríguez, M.L. (2018). A Grey Mathematics Approach for Evolutionary Multi-objective Metaheuristic of Project Portfolio Selection. In: Castillo, O., Melin, P., Kacprzyk, J. (eds) Fuzzy Logic Augmentation of Neural and Optimization Algorithms: Theoretical Aspects and Real Applications. Studies in Computational Intelligence, vol 749. Springer, Cham. https://doi.org/10.1007/978-3-319-71008-2_27

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  • DOI: https://doi.org/10.1007/978-3-319-71008-2_27

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-71007-5

  • Online ISBN: 978-3-319-71008-2

  • eBook Packages: EngineeringEngineering (R0)

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