Skip to main content

New Aggregation Methods for Decision-Making in the Selection of Business Opportunities

  • Conference paper
  • First Online:
Scientific Methods for the Treatment of Uncertainty in Social Sciences

Abstract

We analyse decision-making process in the selection of business opportunities. A new mathematical application based on OWA operator and selection index is developed. We consider the use of the OWA distance (OWAD), the OWA adequacy coefficient (OWAAC) and the OWA index of maximum and minimum level OWAIMAM operators. The study proposes a fuzzy significance vector (FS), which can aggregate information according to the importance of its characteristics. The introduction of the selection OWA operator using fuzzy significance vector can reflect decision with different degrees of optimism through normalization process where the maximum value of the aggregated information can be higher than 1. These methods are called FS-OWAAC, FS-OWAD and FS-OWAIMAM operator. By using FS-OWA operator, we can parameterize attitudinal character of decisor and the importance of characteristics of the information. A numerical example is developed in decision-making process for the selection of opportunities to start a new business within different sectors according to preference of decisor and environmental factors.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight 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

References

  • Acs, Z.J., Amorós, J.E.: Entrepreneurship and competitiveness dynamics in Latin America. Small Bus. Econ. 31(3), 305–322 (2008)

    Article  Google Scholar 

  • Audretsch, D., Keilbach, M.: Entrepreneurship capital and economic performance. Reg. Stud. 38(8), 949–959 (2004)

    Article  Google Scholar 

  • Cuervo, A.: Individual and environmental determinants of entrepreneurship. Int. Entrep. Manag. J. 1(3), 293–311 (2005)

    Article  Google Scholar 

  • GEM.: Global Entrepreneurship Monitor 2013 Global Report, Global Entrepreneurship Monitor. http://gemconsortium.org/docs/3106/gem-2013-global-report (2014)

  • Gil-Aluja, J.: Elements for a Theory of Decision in Uncertainty. Kluwer Academic Publishers, Dordrecht (1999)

    Book  MATH  Google Scholar 

  • Gil-Lafuente, A.M., Merigó, J.M.: The ordered weighted averaging distance operator. Lect. Modell. Simul. 8(1), 84–95 (2007)

    Google Scholar 

  • Gil-Lafuente, A.M., Merigó, J.M.: On the use of the OWA operator in the adequacy coefficient. Modell. Meas. Control 30(1), 1–17 (2009)

    Google Scholar 

  • Gil-Lafuente, J.: Index of maximum and minimum level in the optimization of athlete signing. In: Proceeding of X Internacional Congress A.E.D.E.M, Reggio Calabria (Italy), 4–6 Sept 2001, pp. 439–443 (2001) (In Spanish)

    Google Scholar 

  • Herrera, F.: A sequential selection process in group decision making with a linguistic assessment approach. Inf. Sci. 85(4), 223–239 (1995)

    Article  MATH  MathSciNet  Google Scholar 

  • Kaufmann, A., Gil-Aluja, J.: Introduction of the fuzzy sub-sets theory to the business administration. Milladoiro Santiago de Compostela (1986) (In Spanish]

    Google Scholar 

  • Martinez, L., Herrera, F.: A 2-tuple fuzzy linguistic representation model for computing with words. IEEE Trans. Fuzzy Syst. 8(6), 746–752 (2000)

    Article  MathSciNet  Google Scholar 

  • Merigó, J.M.: New extentions to the OWA operators and their applications in decision making. Doctoral thesis. University of Barcelona, Spain (2009) (In Spanish)

    Google Scholar 

  • Merigó, J.M., Gil-Lafuente, A.M.: Unification point in methods for the selection of financial products. Fuzzy Econ. Rev. 12(1), 35–50 (2007)

    Google Scholar 

  • Merigó, J.M., Gil-Lafuente, A.M.: On the use of the OWA operator in the Euclidean distance. Int. J. Comput. Sci. Eng. 2(4), 170–176 (2008a)

    Google Scholar 

  • Merigó, J.M., Gil-Lafuente, A.M.: The generalized adequacy coefficient and its application in strategic decision making. Fuzzy Econ. Rev. 13(2), 17–36 (2008b)

    Google Scholar 

  • Merigó, J.M., Gil-Lafuente, A.M.: Using the OWA operator in the Minkowski distance. Int. J. Comput. Sci. 3, 147–157 (2008c)

    Google Scholar 

  • Merigó, J.M., Gil-Lafuente, A.M.: New decision-making techniques and their application in the selection of financial products. Inf. Sci. 180(11), 2085–2094 (2010)

    Article  MATH  Google Scholar 

  • Merigó, J.M., Gil-Lafuente, A.M.: Decision-making in sport management based on the OWA operator. Expert Syst. Appl. 38(8), 10408–10413 (2011)

    Article  Google Scholar 

  • Merigó, J.M., Gil-Lafuente, A.M.: Decision making techniques with similarity measures and OWA operators. SORT–Stat. Oper. Res. Trans. 36, 81–102 (2012a)

    MATH  Google Scholar 

  • Merigó, J.M., Gil-Lafuente, A.M.: A method for decision making with the OWA operator. Comput. Sci. Inf. Syst. 9(1), 357–380 (2012b)

    Article  Google Scholar 

  • Merigó, J.M., Gil-Lafuente, A.M.: A method for decision making based on generalized aggregation operators. Int. J. Intell. Syst. 28(5), 453–473 (2013)

    Article  Google Scholar 

  • Merigó, J.M., Gil-Lafuente, A.M., Xu, Y.J.: Decision making with induced aggregation operators and the adequacy coefficient. Econ. Comput. Econ. Cybern. Stud. Res. 1, 185–202 (2013)

    Google Scholar 

  • Merigó, J.M., Peris-Ortiz, M.: Entrepreneurship and decision- making in Latin America. INNOVAR—J. Admin. Soc. Sci. 24(1), 101–111 (2014)

    Google Scholar 

  • Merigó, J.M., Peris-Ortiz, M., Palacios-Marqué, D.: Entrepreneurial fuzzy group decision-making under complex environments. J. Intell. Fuzzy Syst. 27(2), 901–912 (2014)

    MATH  Google Scholar 

  • Peng, B., Ye, C.: An approach based on the induced uncertain pure linguistic hybrid harmonic averaging operator to group decision making. Econ. Comput. Econ. Cybern. Stud. Res. 47(4), 275–296 (2014)

    Google Scholar 

  • Praag, C.M., Versloot, P.H.: What is the value of entrepreneurship? A review of recent research. Small Bus. Econ. 29(4), 351–382 (2007)

    Article  Google Scholar 

  • Shannon, C.E.: A mathematical theory of communication. Bell Syst. Tech. J. 27(3), 379–423 (1948)

    Article  MATH  MathSciNet  Google Scholar 

  • Verheul, I., Wennekers, S., Audretsch, D., Thurik, R.: An eclectic theory of entrepreneurship: policies, instittutions and culture. In: Audretsch, B., Thurik, R., Verheul, I., Wennekers, S. (eds.) Entrepreneurship : Determinants and Policy in a European-US Comparison, pp. 11–81. Kluwer Academic, Boston (2002)

    Chapter  Google Scholar 

  • WEF.: The global competitiveness report 2013–2014. World Economic Forum. http://www.weforum.org/reports/global-competitiveness-report-2013-2014 (2014)

  • Wei, G.: Uncertain linguistic hybrid geometric mean operator and its applications to group decision making under uncertain linguistic environment. Int. J. Uncertain. Fuzziness Knowl.-Based Syst. 17(02):251–267 (2009)

    Google Scholar 

  • Wennekers, S., Thurik, R.: Linking entrepreneurship and economic growth. Small Bus. Econ. 13(1), 27–56 (1999)

    Article  Google Scholar 

  • Wong, P.K., Ho, Y.P., Autio, E.: Entrepreneurship, innovation and economic growth: evidence from GEM data. Small Bus. Econ. 24(3), 335–350 (2005)

    Article  Google Scholar 

  • Xu, Z.S.: EOWA and EOWG operators for aggregating linguistic labels based on linguistic preference relations. Int. J. Uncertain. Fuzziness Knowl.-Based Syst. 12(06), 791–810 (2004)

    Article  MATH  Google Scholar 

  • Yager, R.R.: On ordered weighted averaging aggregation operators in multicriteria decision making. IEEE Trans. Syst. Man Cybern. 18(1), 183–190 (1988)

    Article  MATH  MathSciNet  Google Scholar 

  • Yager, R.R.: Families of OWA operators. Fuzzy Sets Syst. 59(2), 125–148 (1993)

    Article  MATH  MathSciNet  Google Scholar 

  • Yager, R.R., Kacprzyk, J., Beliakov, G.: Recent Developments on the Ordered Weighted Averaging Operators: Theory and Practice. Springer, Berlin (2011)

    Book  Google Scholar 

  • Zhao, H., Xu, Z., Ni, M., Liu, S.: Generalized aggregation operators for intuitionistic fuzzy sets. Int. J. Intell. Syst. 25(1), 1–30 (2010)

    Article  MATH  Google Scholar 

  • Zhou, L.G., Chen, H.: Generalized ordered weighted logarithm aggregation operators and their applications to group decision making. Int. J. Intell. Syst. 25(7), 683–707 (2010)

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Fabio R. Blanco-Mesa .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2015 Springer International Publishing Switzerland

About this paper

Cite this paper

Blanco-Mesa, F.R., Gil-Lafuente, A.M., Merigó, J.M. (2015). New Aggregation Methods for Decision-Making in the Selection of Business Opportunities. 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_1

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-19704-3_1

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-19703-6

  • Online ISBN: 978-3-319-19704-3

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics