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Fuzzy Linguistic Labels in Multi-expert Decision Making

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Theory and Practice of Natural Computing (TPNC 2017)

Abstract

This paper presents an approach to modeling multi-expert decision systems. The proposed method is based on the idea of fuzzy linguistic label, which is suitable for analyzing real life decision-making process under uncertainty, where subjective criteria play an important role. A modified form of information system for modeling the action of a group of experts is introduced. The notions of dominating, boundary, and negative linguistic values are adopted. Furthermore, a novel definition of the fuzzy linguistic label, the measure of certainty of a linguistic label, and the compatibility function between elements of the universe and a linguistic label are given. Finally, a way of aggregating the experts’ knowledge for selecting a set of objects that best fit the preference of a decision-maker is proposed. Independent vectors of preference degrees for both the attributes and their linguistic values are applied. A simple illustrating example is provided, which presents an analysis of a decision process performed by three experts.

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References

  1. Atanassov, K.T.: Intuitionistic fuzzy sets. Fuzzy Sets Syst. 20(1), 87–96 (1986)

    Article  MathSciNet  MATH  Google Scholar 

  2. Cabrerizo, F., Pedrycz, W., Perez, I., Alonso, S., Herrera-Viedma, E.: Group decision making in linguistic contexts: an information granulation approach. Procedia Comput. Sci. 91, 715–724 (2016). www.sciencedirect.com/science/article/pii/S1877050916312455

  3. Chen, C.T.: Extensions of the TOPSIS for group decision making under fuzzy environment. Fuzzy Sets Syst. 114, 1–9 (2000)

    Article  MATH  Google Scholar 

  4. Chou, S.Y., Chang, Y.H., Shen, C.Y.: A fuzzy simple additive weighting system under group decision-making for facility location selection with objective/subjective attributes. Eur. J. Oper. Res. 189, 132–145 (2008)

    Article  MATH  Google Scholar 

  5. Chuu, S.J.: Interactive group decision-making using a fuzzy linguistic approach for evaluating the flexibility in a supply chain. Eur. J. Oper. Res. 213(1), 279–289 (2011)

    Article  Google Scholar 

  6. Deni, W., Sudana, O., Sasmita, A.: Analysis and implementation fuzzy multi-attribute decision making SAW method for selection of high achieving students in faculty level. Int. J. Comput. Sci. 10(1), 674–680 (2013)

    Google Scholar 

  7. Greco, S., Matarazzo, B., Słowiński, R.: Rough sets theory for multicriteria decision analysis. Eur. J. Oper. Res. 129, 1–47 (2001)

    Article  MATH  Google Scholar 

  8. Kahraman, C., Onar, S.C., Oztaysi, B.: Fuzzy multicriteria decision-making: a literature review. Int. J. Comput. Intell. Syst. 8(4), 637–666 (2015)

    Article  MATH  Google Scholar 

  9. Mieszkowicz-Rolka, A., Rolka, L.: A novel approach to fuzzy rough set-based analysis of information systems. In: Wilimowska, Z., Borzemski, L., Grzech, A., Świątek, J. (eds.) Information Systems Architecture and Technology: Proceedings of 36th International Conference on Information Systems Architecture and Technology – ISAT 2015 – Part IV. AISC, vol. 432, pp. 173–183. Springer, Cham (2016). https://doi.org/10.1007/978-3-319-28567-2_15

    Google Scholar 

  10. Mieszkowicz-Rolka, A., Rolka, L.: Labeled fuzzy rough sets versus fuzzy flow graphs. In: Proceedings of the 8th International Joint Conference on Computational Intelligence, FCTA, vol. 1, pp. 115–120. SCITEPRESS Digital Library - Science and Technology Publications, Lda (2016). www.scitepress.org/DigitalLibrary

  11. Pawlak, Z.: Rough Sets: Theoretical Aspects of Reasoning about Data. Kluwer Academic Publishers, Boston, Dordrecht, London (1991)

    Book  MATH  Google Scholar 

  12. Rodríguez, R.M., Labella, Á., Martínez, L.: An overview on fuzzy modelling of complex linguistic preferences in decision making. Int. J. Comput. Intell. Syst. 9(1), 81–94 (2016)

    Article  Google Scholar 

  13. Rodríguez, R.M., Martínez, L.: An analysis of symbolic linguistic computing models in decision making. Int. J. Gen. Syst. 42(1), 121–136 (2013)

    Article  MathSciNet  MATH  Google Scholar 

  14. Skorupski, J.: Interactive group decision-making using a fuzzy linguistic approach for evaluating the flexibility in a supply chain. Expert Syst. Appl. 41, 7406–7414 (2014)

    Article  Google Scholar 

  15. Sun, B., Ma, W.: Rough approximation of a preference relation by multi-decision dominance for a multi-agent conflict analysis problem. Inf. Sci. 315, 39–53 (2015)

    Article  MathSciNet  Google Scholar 

  16. Yu, D., Zhang, W., Xu, Y.: Group decision making under hesitant fuzzy environment with application to personnel evaluation. Knowl. Based Syst. 52, 1–10 (2013)

    Article  Google Scholar 

  17. Zadeh, L.: Fuzzy sets. Inf. Control 8, 338–353 (1965)

    Article  MATH  Google Scholar 

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Correspondence to Leszek Rolka .

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Mieszkowicz-Rolka, A., Rolka, L. (2017). Fuzzy Linguistic Labels in Multi-expert Decision Making. In: Martín-Vide, C., Neruda, R., Vega-Rodríguez, M. (eds) Theory and Practice of Natural Computing. TPNC 2017. Lecture Notes in Computer Science(), vol 10687. Springer, Cham. https://doi.org/10.1007/978-3-319-71069-3_10

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  • DOI: https://doi.org/10.1007/978-3-319-71069-3_10

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