Abstract
Evaluation based on distance from average solution (EDAS) method 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-criteria decision-making methods such as TOPSIS and VIKOR. It simplifies the calculation of distances to the deal 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 expert’s truthiness, falsity, and indeterminacy simultaneously. The proposed method has been applied to the prioritization of United Nations national sustainable development goals, and one-at-a-time sensitivity analysis is conducted to check the robustness of the given decisions. The proposed method is also compared with the intuitionistic fuzzy TOPSIS method for its validity.
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Atanassov K (1986) Intuitionistic fuzzy sets. Fuzzy Sets Syst 20(1):87–96
Bausys R, Zavadskas EK (2015) Multicriteria decision making approach by VIKOR under interval neutrosophic set environment. Econ Comput Econ Cybern Stud Res 49(4):33–48
Bausys R, Zavadskas EK, Kaklauskas A (2015) Application of neutrosophic set to multicriteria decision making by COPRAS. Econ Comput Econ Cybern Stud Res 49(2):91–106
Biswas P, Pramanik S, Giri BC (2016) TOPSIS method for multi-attribute group decision-making under single-valued neutrosophic environment. Neural Comput Appl 27(3):727–737
Castillo O, Sanchez MA, Gonzalez CI, Martinez GE (2017) Review of recent type-2 fuzzy image processing applications. Information 8(3):97
Deli I, Şubaş Y, Smarandache F, Ali M (2016) Interval valued bipolar fuzzy weighted neutrosophic sets and their application. In: 2016 IEEE international conference on fuzzy systems (FUZZ-IEEE)
Elhassouny A, Smarandache F (2016) Neutrosophic-simplified-TOPSIS multi-criteria decision-making using combined simplified-TOPSIS method and neutrosophics. In: 2016 IEEE international conference on fuzzy systems (FUZZ-IEEE)
Grattan-Guiness I (1975) Fuzzy membership mapped onto interval and many-valued quantities. Z Math Logik Grundladen Math 22:149–160
Hu J, Pan L, Chen X (2017) An interval neutrosophic projection-based VIKOR method for selecting doctors. Cogn Comput 9(6):801–816
Hwang CL, Yoon K (1981) Multiple attribute decision making: methods and applications. Springer, New York
Jahn K (1975) Intervall-wertige Mengen. Math Nach 68:115–132
Jahan S (2017) Human Development Report 2016-Human Development for Everyone (No. id: 12021)
Ji P, Zhang HY, Wang JQ (2016) A projection-based TODIM method under multi-valued neutrosophic environments and its application in personnel selection. Neural Comput Appl 1–14
Karaşan A, Kahraman C (2017) Interval-valued neutrosophic extension of EDAS method. In: Advances in fuzzy logic and technology. Springer, Berlin, pp 343–357
Keshavarz Ghorabaee M, Zavadskas EK, Olfat L, Turskis Z (2015) Multi-criteria inventory classification using a new method of evaluation based on distance from average solution (EDAS). Informatica 26(3):435–451
Li Y, Wang Y, Liu P (2016) Multiple attribute group decision-making methods based on trapezoidal fuzzy two-dimension linguistic power generalized aggregation operators. Soft Comput 20(7):2689–2704
Ma H, Hu Z, Li K, Zhang H (2016) Toward trustworthy cloud service selection: a time-aware approach using interval neutrosophic set. J Parallel Distrib Comput 96:75–94
OECD (2007) 2007 Annual report on sustainable development work in the OECD, Paris
Opricovic S (1998) Multicriteria optimization of civil engineering systems. Faculty of Civil Engineering, Belgrade
Otay İ, Kahraman C (2017) Six sigma project selection using interval neutrosophic TOPSIS. In: Advances in fuzzy logic and technology. Springer, Berlin, pp 83–93
Park JH, Park IY, Kwun YC, Tan X (2011) Extension of the TOPSIS method for decision making problems under interval-valued intuitionistic fuzzy environment. Appl Math Model 35(5):2544–2556
Peng JJ, Wang JQ, Zhang HY, Chen XH (2014) An outranking approach for multi-criteria decision-making problems with simplified neutrosophic sets. Appl Soft Comput 25:336–346
Peng H, Zhang H, Wang J (2016) Probability multi-valued neutrosophic sets and its application in multi-criteria group decision-making problems. Neural Comput & Applic. https://doi.org/10.1007/s00521-016-2702-0
Peng J, Wang J, Wu X (2017) An extension of the ELECTRE approach with multi-valued neutrosophic information. Neural Comput & Applic 28(Suppl 1):1011–1022
Rivieccio U (2008) Neutrosophic logics: prospects and problems. Fuzzy Sets Syst 159(14):1860–1868
Rubio E, Castillo O, Valdez F, Melin P, Gonzalez CI, Martinez G (2017) An extension of the fuzzy possibilistic clustering algorithm using type-2 fuzzy logic techniques. Adv Fuzzy Syst 2017:7094046. https://doi.org/10.1155/2017/7094046.
Sambuc R (1975) Fonctions \(\Phi \)-floues. Application l’aide au diagnostic en pathologie thyroidienne. Univ. Marseille, Marseille
Sanchez MA, Castillo O, Castro JR (2015) Information granule formation via the concept of uncertainty-based information with interval type-2 fuzzy sets representation and Takagi–Sugeno–Kang consequents optimized with Cuckoo search. Appl Soft Comput 27:602–609
Smarandache F (2006) Neutrosophic set – a generalization of the intuitionistic fuzzy set. IEEE Int Conf Granular Comput 38–42. https://doi.org/10.1109/GRC.2006.1635754
Tai K, El-Sayed AR, Biglarbegian M, Gonzalez CI, Castillo O, Mahmud S (2016) Review of recent type-2 fuzzy controller applications. Algorithms 9(2):39
Torra V (2010) Hesitant fuzzy sets. Int J Intell Syst 25:529–539
Ye J (2013) Multicriteria decision-making method using the correlation coefficient under single-valued neutrosophic environment. Int J Gen Syst 42(4):386–394
Ye J (2014a) A multicriteria decision-making method using aggregation operators for simplified neutrosophic sets. J Intell Fuzzy Syst 26(5):2459–2466
Ye J (2014b) Similarity measures between interval neutrosophic sets and their applications in multicriteria decision-making. J Intell Fuzzy Syst 26(1):165–172
Zadeh L (1965) Fuzzy sets. Inf Control 8:338–353
Zadeh L (1975) The concept of a linguistic variable and its application to approximate reasoning-1. Inf Sci 8:199–249
Zavadskas EK, Bausys R, Kaklauskas A, Ubarte I, Kuzminske A, Gudiene N (2017) Sustainable market valuation of buildings by the single-valued neutrosophic MAMVA method. Appl Soft Comput 57:74–87
Zhang HY, Wang JQ, Chen XH (2014) Interval neutrosophic sets and their application in multicriteria decision-making problems. Sci World J 2014:15
Zhang H, Wang J, Chen X (2016) An outranking approach for multi-criteria decision-making problems with interval-valued neutrosophic sets. Neural Comput Appl 27(3):615–627
Zimmermann HJ (2011) Fuzzy set theory—and its applications. Springer, New York
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Karaşan, A., Kahraman, C. A novel interval-valued neutrosophic EDAS method: prioritization of the United Nations national sustainable development goals. Soft Comput 22, 4891–4906 (2018). https://doi.org/10.1007/s00500-018-3088-y
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DOI: https://doi.org/10.1007/s00500-018-3088-y