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Interval-Valued Neutrosophic Extension of EDAS Method

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Advances in Fuzzy Logic and Technology 2017 (EUSFLAT 2017, IWIFSGN 2017)

Abstract

EDAS (Evaluation Based on Distance from Average Solution) is based on the distances of each alternative from the average solution with respect to each criterion. This method is similar to distance based multi-attribute decision making methods such as TOPSIS and VIKOR. It simplifies the calculation of distances to ideal solution and determines the final decision rapidly. EDAS method has been already extended to its ordinary fuzzy, intuitionistic fuzzy and Type-2 fuzzy versions. In this paper, we extend EDAS method to its interval-valued neutrosophic version with the advantage of considering a decision maker’s truthiness, falsity and indeterminacy simultaneously. The proposed method has been applied to a multi-criteria and multi-expert supplier selection problem and a sensitivity analysis is conducted to check the robustness of the given decisions, also the deneutrosophicated decision matrix and weight of the criteria are applied to crisp EDAS and crisp TOPSIS method to check the robustness of our method.

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References

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

    Article  MathSciNet  MATH  Google Scholar 

  • Deng, X., Hu, Y., Deng, Y., Mahadevan, S.: Supplier selection using AHP methodology extended by D numbers. Expert Syst. Appl. 41(1), 156–167 (2014)

    Article  Google Scholar 

  • Govindan, K., Kaliyan, M., Kannan, D., Haq, A.N.: Barriers analysis for green supply chain management implementation in Indian industries using analytic hierarchy process. Int. J. Prod. Econ. 147, 555–568 (2014)

    Article  Google Scholar 

  • Grattan-Guiness, I.: Fuzzy membership mapped onto interval and many-valued quantities. Z. Math. Logik. Grundladen Math. 22, 149–160 (1975)

    Article  MathSciNet  Google Scholar 

  • Hamdan, S., Cheaitou, A.: Supplier selection and order allocation with green criteria: an MCDM and multi-objective optimization approach. Comput. Oper. Res. 81, 282–304 (2016)

    Article  MathSciNet  Google Scholar 

  • Hwang, C.L., Yoon, K.: Multiple Attribute Decision Making: Methods and Applications. Springer, New York (1981)

    Book  MATH  Google Scholar 

  • Jahn, K.: Intervall-wertige Mengen. Math. Nach. 68(1975), 115–132 (1975)

    Article  MathSciNet  MATH  Google Scholar 

  • Junior, F.R.L., Osiro, L., Carpinetti, L.C.R.: A comparison between Fuzzy AHP and Fuzzy TOPSIS methods to supplier selection. Appl. Soft Comput. 21, 194–209 (2014)

    Article  Google Scholar 

  • Kannan, D., Khodaverdi, R., Olfat, L., Jafarian, A., Diabat, A.: Integrated fuzzy multi criteria decision making method and multi-objective programming approach for supplier selection and order allocation in a green supply chain. J. Clean. Prod. 47, 355–367 (2013)

    Article  Google Scholar 

  • Keshavarz Ghorabaee, M., Zavadskas, E.K., Olfat, L., Turskis, Z.: Multi-criteria inventory classification using a new method of evaluation based on distance from average solution (EDAS). Informatica 26(3), 435–451 (2015)

    Article  Google Scholar 

  • Li, Y., Wang, Y., Liu, P.: Multiple attribute group decision-making methods based on trapezoidal fuzzy two-dimension linguistic power generalized aggregation operators. Soft. Comput. 20(7), 2689–2704 (2016)

    Article  Google Scholar 

  • Opricovic, S.: Multicriteria Optimization of Civil Engineering Systems. Faculty of Civil Engineering, Belgrade (1998)

    Google Scholar 

  • Qin, J., Liu, X., Pedrycz, W.: An extended TODIM multi-criteria group decision making method for green supplier selection in interval type-2 fuzzy environment. Eur. J. Oper. Res. 258(2), 626–638 (2017)

    Article  MathSciNet  Google Scholar 

  • Rivieccio, U.: Neutrosophic logics: prospects and problems. Fuzzy Sets Syst. 159(14), 1860–1868 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  • Sambuc, R.: Fonctions ɸ-floues. Application l’aide au diagnostic en pathologie thyroidienne. Univ. Marseille, France (1975)

    Google Scholar 

  • Smarandache, F.: Neutrosophic logic and set, mss (1995)

    Google Scholar 

  • Torra, V.: Hesitant fuzzy sets. Int. J. Intell. Syst. 25(2010), 529–539 (2010)

    MATH  Google Scholar 

  • Türk, S., Özcan, E., John, R.: Multi-objective optimization in inventory planning with supplier selection. Expert Syst. Appl. 78, 51–63 (2017)

    Article  Google Scholar 

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

    Article  MATH  Google Scholar 

  • Zadeh, L.: The concept of a linguistic variable and its application to approximate reasoning-1. Inf. Sci. 8(1975), 199–249 (1975)

    Article  MathSciNet  MATH  Google Scholar 

  • Zhang, H.Y., Wang, J.Q., Chen, X.H.: Interval neutrosophic sets and their application in multicriteria decision-making problems. Sci. World J. 2014, 15 (2014)

    Google Scholar 

  • Zimmermann, H.J.: Fuzzy Set Theory—and Its Applications. Springer Science & Business Media, Netherlands (2011)

    Google Scholar 

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Correspondence to Ali Karaşan .

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Karaşan, A., Kahraman, C. (2018). Interval-Valued Neutrosophic Extension of EDAS Method. In: Kacprzyk, J., Szmidt, E., Zadrożny, S., Atanassov, K., Krawczak, M. (eds) Advances in Fuzzy Logic and Technology 2017. EUSFLAT IWIFSGN 2017 2017. Advances in Intelligent Systems and Computing, vol 642. Springer, Cham. https://doi.org/10.1007/978-3-319-66824-6_31

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  • DOI: https://doi.org/10.1007/978-3-319-66824-6_31

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  • Print ISBN: 978-3-319-66823-9

  • Online ISBN: 978-3-319-66824-6

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