Skip to main content
SpringerLink
Log in

The Reliability of Game Systems in Team Sports

  • Chapter
  • First Online:
Book cover Sports Management as an Emerging Economic Activity

  • 1364 Accesses

Abstract

In previous works Butenko, S., Pardalos, P., Sergienko, I., Shylo, V., & Stetsyuk, P. (2009). Estimating the size of correcting codes using extremal graph problems. In Optimization (pp. 227–243). New York: Springer, we have investigated the structure of game schemes, including their composition and the relationship among athletes that compose them. We have also established that if a set of game schemes possesses enough common characteristics, the set of schemes then defines a game system. A crucial aspect of our work refers to the efficacy or lack of efficacy in the functioning of game schemes, which we will analyze in the present work based on the incorporation of a new concept that we call the “reliability function.”

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 119.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 159.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 159.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Notes

  1. 1.

    Given the eminently practical objective of this work, we omitted certain formal aspects that should be explicitly stated under other circumstances.

  2. 2.

    See, for example, the magnificent work by Gil Lafuente, A.M.: Analysis of the immobilized immersed in a system, Proceedings of the SIGEF Congress [Análisis del inmovilizado inmerso en un Sistema Proceedings del Congreso SIGEF]. Mexico, November 1999.

  3. 3.

    Let us remember that every T-conorm is transformed into an inference operator by simply changing the value of a proposition x for its complement x.

  4. 4.

    Kaufmann, A. and Gil Aluja, J.: Special techniques for the management of experts [Técnicas especiales para la gestión de expertos]. Ed. Milladoiro. Santiago de Compostela, 1993, p. 225–241.

Bibliography

  • Adamek, J., Herrlich, H., & Strecker, G. E. (1990). Abstract and concrete categories. New York: Wiley.

    Google Scholar 

  • Beer, G. (1993). Topologies on closed and closed convex sets. Dordrecht: Kluwer Academic Pulishers.

    Book  Google Scholar 

  • Brümmer, C. G. L. (1984). Topological categories. Topology and its Applications, 18, 27–41.

    Article  Google Scholar 

  • Butenko, S., Gil-Lafuente, J., & Pardalos, P. M. (Eds.). (2004a). Economics, management and optimization in sports. Berlin: Springer.

    Google Scholar 

  • Butenko, S., Gil-Lafuente, J., & Pardalos, P. M. (Eds.). (2004b). Economics, management and optimization in sports. Berlin: Springer.

    Google Scholar 

  • Butenko, S., Gil-Lafuente, J., & Pardalos, P. M. (Eds.). (2010). Optimal strategies in sports economics and management. Berlin: Springer.

    Google Scholar 

  • Gil-Lafuente, J. (2010). Game systems in team sports. In S. Butenko, J. Gil-Lafuente, & P. M. Pardalos (Eds.), Optimal strategies in sports economics and management. Berlin: Springer.

    Google Scholar 

  • Qiu, D. (2004). Fuzzifying topological linear spaces. Fuzzy Sets and Systems, 147, 249–272.

    Article  Google Scholar 

  • Das, P. (1999). A fuzzy topology associated with a fuzzy finite state machine. Fuzzy Sets and Systems, 105, 469–479.

    Article  Google Scholar 

  • Ertürk, R. (1995). Some results on fuzzy compacts spaces. Fuzzy Sets and Systems, 70, 107–112.

    Article  Google Scholar 

  • García Maynez, A. (1971). Introducción a la topología de conjuntos. México D. F: Ed. Trillas.

    Google Scholar 

  • Gil Aluja, J. (1999). Elements for a theory of Decisión in uncertainty. London/Biston/Dordrecht: Kluwer Academic Publishers.

    Book  Google Scholar 

  • Gil Aluja, J. (2001). La pretopología en l gestión de la incertidumbre”. Discurso de investidura como Doctor “Honoris Causa” por la Universidad de León. Publ. Universidad de León.

    Google Scholar 

  • Gil Lafuente, J. (2002). Algoritmos para la excelencia. Claves para el éxito en la gestión deportiva. Vigo: Ed. Milladoiro.

    Google Scholar 

  • Giles, J. R. (1987). Introduction to the análisis of metric. Cambridge: Ed. Cambridge.

    Google Scholar 

  • Gil-Lafucnte, A. M. (1999). Análisis del inmovilizado inmerso en un sistema Proceedings del Congreso SIGEF. México.

    Google Scholar 

  • Gil-Lafuente, J. (2010). Game Systems in Team Sports. In Optimal strategies in sports economics and management (pp. 15–38). Berlin/Heidelberg: Springer.

    Chapter  Google Scholar 

  • Höhle, U., & Sostek, A. (1999). Axiomatic foundations of fixed-basis fuzzy topology. In U. Höhle & S. E. Rodabaugh (Eds.), “Mathematics of fuzzy sets: Logic topology, and measure theory”. Handbook of fuzzy sets series (Vol. 3, p. 123.272). Dordrecht: Kluwer Academic Publishers.

    Chapter  Google Scholar 

  • Höhle, U. (2001). Many valued topology and its applications. Dordrecht: Kluwer Academic Publisher.

    Book  Google Scholar 

  • Huttenlocher, D. P., Klanderman, G. A., & Rucklidge, W. J. (1993). Comparing images using the Hausdorff distance. IEEE Transactions on Pattern Analysis and Machine Intelligence, 15, 850–863.

    Article  Google Scholar 

  • Jameson, G. J. O. (1975). Topology and normed spaces. London: Chapman and Hall.

    Google Scholar 

  • Xiao, J. Z., & Xiao, X.-H. Z. (2004). Topological degree theory and fixed point theorems in fuzzy normed space. Fuzzy Sets and Systems, 147, 437–452.

    Article  Google Scholar 

  • Johnstone, P. T. (1982). Stone spaces. Cambridge: Cambridge University Press.

    Google Scholar 

  • Kaufmann, A., & Gil-Aluja, J. (1993). Técnicas especiales para la gestión de expertos. (pago 225–241). Santiago de Compostela: Ed. Milladoiro.

    Google Scholar 

  • Kaufmann, A., & Gil Aluja, J. (1991). Selection of affinities by means of fuzzy relations and Galois latices. Proceedings dek XI Euro O.R. Congress. Aachen.

    Google Scholar 

  • Kaufmann, A. (1983). Prétopologie ordinaire et prétopologie floue. Note de Travail 115. La Tronche.

    Google Scholar 

  • Khedr, E. H., Zeyada, F. M., & Sayed, O. R. (2001). On separation axoms in fuzzifying topology. Fuzzy Sets and Systems, 119, 439–458.

    Article  Google Scholar 

  • Kisielewicz, M. (1991). Differential inclusions and optimal control. Dordrecht: Ed. Kluwer Academic Publishers.

    Google Scholar 

  • Kuratowski, K. (1972). Introducción a la teoría de los subconjuntos borrosos y a la topología. Barcelona: Ed. Vicens Vives.

    Google Scholar 

  • Lowen, R. (1978). A comparison of different compactness notions in fuzzy topological spaces. Journal of Mathematical Analysis and Applications, 64, 446–454.

    Article  Google Scholar 

  • Malik, D. S., & Mordeson, J. M. (2000). Fuzzy Discrete Structures. New York: Physica-Verlag.

    Book  Google Scholar 

  • Martin, H. W. (1980). Weakly induced fuzzy topological spaces. Journal of Mathematical Analysis and Applications, 78, 634–639.

    Article  Google Scholar 

  • Menger, K. (1942). Statistical metrics. Proceedings of the National Academy of Sciences, 28, 535–537.

    Article  Google Scholar 

  • Munroe, M. (1953). Evans: “introduction to measure and integration”. Reading: Addison-Wesley.

    Google Scholar 

  • Ponsard, C. (1969). Un modèle topologique d’équilibre économique. Paris: Ed. Dunod.

    Google Scholar 

  • Radabaugh, S. E. (1980). The Hausdorff separation axiom for fuzzy topological spaces. Topology and its Applications, 11, 319–334.

    Article  Google Scholar 

  • Sapena, A. (2001). A contribution to the study of fuzzy metric spaces. Applied General Topology, 2, 63–76.

    Article  Google Scholar 

  • Sugeno, M. (1977). Fuzzy measures and fuzzy integrals, a survey. En M. M. Gupta, G. N. Saridis, Y B. R. Gaines (Eds.), Fuzzy autómata and proceses. Ed. North-Holland: Ámsterdam.

    Google Scholar 

  • Sutherland, W. A. (1975). Introduction to metric and topological spaces. Oxford: Oxford Science Publications.

    Google Scholar 

  • Veeramani, P. (2001). Best approximation in fuzzy metric spaces. The Journal of Fuzzy Mathematics, 9, 75–80.

    Google Scholar 

  • Xiao, J. Z., & Zhu, Z. H. (2002). On linearly topological structure and property of fuzzy normed linear space. Fuzzy Sets and Systems, 125(2), 153–161.

    Article  Google Scholar 

  • Ying, M. S. (1991). A new approach to fuzzy topology (I). Fuzzy Sets and Systems, 39(3), 303–321.

    Article  Google Scholar 

  • Zadeh, L. (1965). “Fuzzy Sets”. Information and Control, 8 de Junio.

    Google Scholar 

  • Zhu, Z. H. (2002). On linearly topological structure and property of fuzzy normed linear space. Fuzzy Sets and Systems, 125(2), 153–161.

    Article  Google Scholar 

  • Zimmermann, H. J. (1978). In G. J. Klir (Ed.), Results of empirical studies in fuzzy sets theory. New York: Applied general Systems Research Plenum Press.

    Chapter  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Business Department, Universitat de Barcelona, Av. Diagonal n° 690, 8034, Barcelona, Spain

    Jaime Gil-Lafuente

Authors
  1. Jaime Gil-Lafuente
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Jaime Gil-Lafuente .

Editor information

Editors and Affiliations

  1. Departamento de Organización de Empresas, Universitat Politècnica de València, Valencia, Spain

    Marta Peris-Ortiz

  2. Faculty of Business, Finances and Tourism, University of Extremadura, Caceres, Spain

    José Álvarez-García

  3. Faculty of Business Administration and Tourism, Department of Business Organisation and Marketing, University of Vigo (Campus of Ourense), Ourense, Spain

    María de la Cruz Del Río-Rama

Rights and permissions

Reprints and permissions

Copyright information

© 2017 Springer International Publishing

About this chapter

Cite this chapter

Gil-Lafuente, J. (2017). The Reliability of Game Systems in Team Sports. In: Peris-Ortiz, M., Álvarez-García, J., Del Río-Rama, M. (eds) Sports Management as an Emerging Economic Activity. Springer, Cham. https://doi.org/10.1007/978-3-319-63907-9_12

Download citation

Publish with us

Policies and ethics

Search

Navigation