Skip to main content

A Multi-criteria Group Decision-Making Method in Changeable Scenarios Based on Self-adjustment of Weights Using Reciprocal Preference Relations

  • Conference paper
  • First Online:
Fuzzy Logic and Technology, and Aggregation Operators (EUSFLAT 2023, AGOP 2023)

Abstract

Group Decision-Making is a process in which experts have to choose one or more options from a finite set of alternatives. Group Decision-Making methods were developed to assist in this type of event, but often information is lost in the alternatives analysis since not all the alternatives fulfil criteria in the same way. Moreover, in these methods, once the debate is over, it is not usually possible to reopen the decision process. Finally, the third problem that can occur in this type of method is that the experts are forced to provide preferences even though they know nothing about them, which makes the provided information incorrect. To solve these problems, we develop a novel Multi-Criteria Group Decision-Making method that allows experts to modify the reciprocal preference relation ratings whenever they wish and gives them the option of not providing a preference value if they do not know anything about it, that is, it works with incomplete reciprocal preference relations. Furthermore, the weight of each criterion is self-adjusted according to the assessments that have been made at that moment, which means that each criterion will have a different weight, thus obtaining a more versatile Group Decision-Making method that is adaptable to the different situations that may arise during a decision process.

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

  1. Atanassov, K.T., Atanassov, K.T.: Intuitionistic Fuzzy Sets. Springer, Heidelberg (1999)

    Book  MATH  Google Scholar 

  2. Büyüközkan, G., Güleryüz, S.: A new GDM based AHP framework with linguistic interval fuzzy preference relations for renewable energy planning. J. Intell. Fuzzy Syst. 27(6), 3181–3195 (2014)

    Article  MathSciNet  Google Scholar 

  3. Cabrerizo, F.J., Trillo, J.R., Alonso, S., Morente-Molinera, J.A.: Adaptive multi-criteria group decision-making model based on consistency and consensus with intuitionistic reciprocal preference relations: a case study in energy storage technology selection. J. Smart Environ. Green Comput. 2(2), 58–75 (2022)

    Article  Google Scholar 

  4. Cabrerizo, F.J., Trillo, J.R., Morente-Molinera, J.A., Alonso, S., Herrera-Viedma, E.: A granular consensus model based on intuitionistic reciprocal preference relations and minimum adjustment for multi-criteria group decision making. In: 19th World Congress of the International Fuzzy Systems Association (IFSA), 12th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT), and 11th International Summer School on Aggregation Operators (AGOP), pp. 298–305. Atlantis Press (2021)

    Google Scholar 

  5. Chiclana, F., Herrera, F., Herrera-Viedma, E.: Integrating multiplicative preference relations in a multipurpose decision-making model based on fuzzy preference relations. Fuzzy Sets Syst. 122(2), 277–291 (2001)

    Article  MathSciNet  MATH  Google Scholar 

  6. Choudhury, A., Shankar, R., Tiwari, M.: Consensus-based intelligent group decision-making model for the selection of advanced technology. Decis. Support Syst. 42(3), 1776–1799 (2006)

    Article  Google Scholar 

  7. Dong, Y., Herrera-Viedma, E.: Consistency-driven automatic methodology to set interval numerical scales of 2-tuple linguistic term sets and its use in the linguistic gdm with preference relation. IEEE Trans. Cybern. 45(4), 780–792 (2014)

    Article  Google Scholar 

  8. Fullér, R., Majlender, P.: On obtaining minimal variability OWA operator weights. Fuzzy Sets Syst. 136(2), 203–215 (2003)

    Article  MathSciNet  MATH  Google Scholar 

  9. Hu, Y., Pang, Z.: A novel similarity-based multi-attribute group decision-making method in a probabilistic hesitant fuzzy environment. IEEE Access 10, 110410–110425 (2022)

    Article  Google Scholar 

  10. Jiang, Y., Xu, Z., Yu, X.: Compatibility measures and consensus models for group decision making with intuitionistic multiplicative preference relations. Appl. Soft Comput. 13(4), 2075–2086 (2013)

    Article  Google Scholar 

  11. Liu, P., Naz, S., Akram, M., Muzammal, M.: Group decision-making analysis based on linguistic q-rung orthopair fuzzy generalized point weighted aggregation operators. Int. J. Mach. Learn. Cybern. 1–24 (2022)

    Google Scholar 

  12. Liu, S., He, X., Chan, F.T., Wang, Z.: An extended multi-criteria group decision-making method with psychological factors and bidirectional influence relation for emergency medical supplier selection. Expert Syst. Appl. 202, 117414 (2022)

    Google Scholar 

  13. Meng, F., Chen, S.M., Fu, L.: Group decision making based on consistency and consensus analysis of dual multiplicative linguistic preference relations. Inf. Sci. 572, 590–610 (2021)

    Article  MathSciNet  Google Scholar 

  14. Morente-Molinera, J.A., Cabrerizo, F., Trillo, J., Pérez, I., Herrera-Viedma, E.: Managing group decision making criteria values using fuzzy ontologies. Procedia Comput. Sci. 199, 166–173 (2022)

    Article  Google Scholar 

  15. Morente-Molinera, J.A., Kou, G., Samuylov, K., Ureña, R., Herrera-Viedma, E.: Carrying out consensual group decision making processes under social networks using sentiment analysis over comparative expressions. Knowl.-Based Syst. 165, 335–345 (2019)

    Article  Google Scholar 

  16. Torra, V.: The weighted OWA operator. Int. J. Intell. Syst. 12(2), 153–166 (1997)

    Article  MATH  Google Scholar 

  17. Trillo, J.R., Cabrerizo, F.J., Chiclana, F., Martínez, M.Á., Mata, F., Herrera-Viedma, E.: Theorem verification of the quantifier-guided dominance degree with the mean operator for additive preference relations. Mathematics 10(12), 2035 (2022)

    Article  Google Scholar 

  18. Trillo, J.R., Cabrerizo, F.J., Morente-Molinera, J.A., Herrera-Viedma, E., Zadrożny, S., Kacprzyk, J.: Large-scale group decision-making method based on trust clustering among experts. In: 2022 IEEE 11th International Conference on Intelligent Systems (IS), pp. 1–8. IEEE (2022)

    Google Scholar 

  19. Trillo, J.R., Herrera-Viedma, E., Cabrerizo, F.J., Morente-Molinera, J.A.: A multi-criteria group decision making procedure based on a multi-granular linguistic approach for changeable scenarios. In: Fujita, H., Selamat, A., Lin, J.C.-W., Ali, M. (eds.) IEA/AIE 2021, Part II. LNCS (LNAI), vol. 12799, pp. 284–295. Springer, Cham (2021). https://doi.org/10.1007/978-3-030-79463-7_24

    Chapter  Google Scholar 

  20. Trillo, J.R., Herrera-Viedma, E., Morente-Molinera, J.A., Cabrerizo, F.J.: A large scale group decision making system based on sentiment analysis cluster. Inf. Fusion 91, 633–643 (2023)

    Article  Google Scholar 

  21. Trillo, J.R., Pérez, I.J., Herrera-Viedma, E., Morente-Molinera, J.A., Cabrerizo, F.J.: Multi-granular large scale group decision-making method with a new consensus measure based on clustering of alternatives in modifiable scenarios. In: Fujita, H., Fournier-Viger, P., Ali, M., Wang, Y. (eds.) IEA/AIE 2022. LNCS, vol. 13343, pp. 747–758. Springer, Cham (2022). https://doi.org/10.1007/978-3-031-08530-7_63

    Chapter  Google Scholar 

  22. Yazdani, M., Graeml, F.R.: VIKOR and its applications: a state-of-the-art survey. Int. J. Strategic Decis. Sci. (IJSDS) 5(2), 56–83 (2014)

    Article  Google Scholar 

  23. Zhang, H., Wei, G., Chen, X.: SF-GRA method based on cumulative prospect theory for multiple attribute group decision making and its application to emergency supplies supplier selection. Eng. Appl. Artif. Intell. 110, 104679 (2022)

    Google Scholar 

  24. Zhang, Q., Huang, T., Tang, X., Xu, K., Pedrycz, W.: A linguistic information granulation model and its penalty function-based co-evolutionary PSO solution approach for supporting GDM with distributed linguistic preference relations. Inf. Fusion 77, 118–132 (2022)

    Article  Google Scholar 

  25. Zhang, Y., Xu, Z., Liao, H.: A consensus process for group decision making with probabilistic linguistic preference relations. Inf. Sci. 414, 260–275 (2017)

    Article  MATH  Google Scholar 

Download references

Acknowledgments

This work was supported by the project PID2019-103880RB-I00 funded by MCIN/AEI/10.13039/501100011033, by FEDER/Junta de Andalucía-Consejería de Transformación Económica, Industria, Conocimiento y Universidades/Proyecto B-TIC-590-UGR20, and by the Andalusian Government through the project P20_00673.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to José Ramón Trillo .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2023 The Author(s), under exclusive license to Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Trillo, J.R., Alonso, S., Pérez, I.J., Herrera-Viedma, E., Morente-Molinera, J.A., Cabrerizo, F.J. (2023). A Multi-criteria Group Decision-Making Method in Changeable Scenarios Based on Self-adjustment of Weights Using Reciprocal Preference Relations. In: Massanet, S., Montes, S., Ruiz-Aguilera, D., González-Hidalgo, M. (eds) Fuzzy Logic and Technology, and Aggregation Operators. EUSFLAT AGOP 2023 2023. Lecture Notes in Computer Science, vol 14069. Springer, Cham. https://doi.org/10.1007/978-3-031-39965-7_16

Download citation

  • DOI: https://doi.org/10.1007/978-3-031-39965-7_16

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-031-39964-0

  • Online ISBN: 978-3-031-39965-7

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics