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Type-2 Fuzzy Approach in Multi Attribute Group Decision Making Problem

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Abstract

The use of fuzzy linguistic expressions in group decision making process has been considered by several authors. However, to the best of our knowledge, none have applied Type2 Fuzzy Multi Attribute Group Decision Making (T2F-MAGDM), where referees are weighted based on their credibility and the level of their knowledge in the specific area by linguistic terms. In this paper, a T2F-MAGDM model, with the capability of considering different linguistic weights for the credibility of the experts, is presented.

This model is designed in three stages, including collecting data from experts, aggregating the data and ranking the alternatives. Stage2 carries out the processes of Linguistic Weighted Averaging (LWA) using type-2 fuzzy sets. Finally, the effectiveness of the proposed T2F-MAGDM model has been evaluated for the FMEA problem.

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References

  1. Rodríguez, R.M., Martınez, L., Herrera, F.: A group decision making model dealing with comparative linguistic expressions based on hesitant fuzzy linguistic term sets. Inf. Sci. 241, 28–42 (2013)

    Article  MathSciNet  MATH  Google Scholar 

  2. Lu, J., Ruan, D.: Multi-objective Group Decision Making: Methods, Software and Applications with Fuzzy Set Techniques. Imperial College Press, London (2007)

    Book  MATH  Google Scholar 

  3. Delgado, M., Herrera, F., Herrera-Viedma, E., Martinez, L.: Combining numerical and linguistic information in group decision making. Inf. Sci. 107(1–4), 177–194 (1998)

    Article  MathSciNet  Google Scholar 

  4. Zhang, Z., Zhang, S.: A novel approach to multi attribute group decision making based on trapezoidal interval type-2 fuzzy soft sets. Appl. Math. Model. 37(7), 4948–4971 (2013)

    Article  MathSciNet  Google Scholar 

  5. Qin, J., Liu, X.: Multi-attribute group decision making using combined ranking value under interval type-2 fuzzy environment. Inf. Sci. 297, 293–315 (2015)

    Article  MathSciNet  MATH  Google Scholar 

  6. Zadeh, L.A.: The concept of a linguistic variable and its application to approximate reasoning—I. Inf. Sci. 8(3), 199–249 (1975)

    Article  MathSciNet  MATH  Google Scholar 

  7. Mendel, J., Wu, D.: Perceptual Computing: Aiding People in Making Subjective Judgments. Wiley, Hoboken (2010)

    Book  Google Scholar 

  8. Wu, D., Mendel, J.M.: Corrections to “Aggregation using the linguistic weighted average and interval type-2 fuzzy sets”. IEEE Trans. Fuzzy Syst. 16(6), 1664–1666 (2008)

    Article  Google Scholar 

  9. Wu, D., Mendel, J.M.: Aggregation using the linguistic weighted average and interval type-2 fuzzy sets. IEEE Trans. Fuzzy Syst. 15(6), 1145–1161 (2007)

    Article  Google Scholar 

  10. Dong, W., Wong, F.: Fuzzy weighted averages and implementation of the extension principle. Fuzzy Sets Syst. 21(2), 183–199 (1987)

    Article  MathSciNet  MATH  Google Scholar 

  11. Mendel, J.M.: On KM algorithms for solving type-2 fuzzy set problems. IEEE Trans. Fuzzy Syst. 21(3), 426–446 (2013)

    Article  Google Scholar 

  12. Asan, U., Soyer, A., Bozdag, E.: An interval type-2 fuzzy prioritization approach to project risk assessment. Multiple-Valued Logic Soft Comput. 26(6), 541–577 (2016)

    MathSciNet  Google Scholar 

  13. Bozdag, E., Asan, U., Soyer, A., Serdarasan, S.: Risk prioritization in failure mode and effects analysis using interval type-2 fuzzy sets. Expert Syst. Appl. 42(8), 4000–4015 (2015)

    Article  Google Scholar 

  14. Kutlu, A.C., Ekmekçioğlu, M.: Fuzzy failure modes and effects analysis by using fuzzy TOPSIS-based fuzzy AHP. Expert Syst. Appl. 39(1), 61–67 (2012)

    Article  Google Scholar 

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Correspondence to Zohre Moattar Husseini .

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Husseini, Z.M., Zarandi, M.H.F. (2018). Type-2 Fuzzy Approach in Multi Attribute Group Decision Making Problem. In: Melin, P., Castillo, O., Kacprzyk, J., Reformat, M., Melek, W. (eds) Fuzzy Logic in Intelligent System Design. NAFIPS 2017. Advances in Intelligent Systems and Computing, vol 648. Springer, Cham. https://doi.org/10.1007/978-3-319-67137-6_8

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  • DOI: https://doi.org/10.1007/978-3-319-67137-6_8

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-67136-9

  • Online ISBN: 978-3-319-67137-6

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