no. 3
An extension of the FLOWSORT method based on intuitionistic fuzzy set theory to solve Multicriteria Decision Making problems
RAIRO. Operations Research, Tome 56 (2022) no. 3, pp. 1491-1501

Multiple attribute decision analysis (MADA) is an important part of the modern decision science. In fact, it has been increasingly used in the literature. Therefore, the study of sorting problems is an active research topic in the multiple criteria decision aid (MCDA) area. Although, it is difficult to quantitatively and precisely express the evaluation criteria to solve real-life sorting problems. To solve this fuzziness and vagueness, the intuitionistic fuzzy set (IFS) theory achieved great success in various recent researches. Therefore, this paper presents a novel extension of the FlowSort method, which is a PROMETHEE-based sorting method, based on the intuitionistic fuzzy set theory. To clarify this new extension, an illustrative example and an empirical comparison with other MCDM methods are presented.

DOI : 10.1051/ro/2022013
Classification : 90B50
Keywords: Multicriteria Decision Making, sorting problems, Intuitionistic Fuzzy Set, FlowSort method 
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Remadi, Fedia Daami; Frikha, Hela Moalla. An extension of the FLOWSORT method based on intuitionistic fuzzy set theory to solve Multicriteria Decision Making problems. RAIRO. Operations Research, Tome 56 (2022) no. 3, pp. 1491-1501. doi: 10.1051/ro/2022013

[1] D. Aikhuele and S. Odofin, Generalized triangular intuitionistic fuzzy geometric averaging operator for decision making in engineering. Information 8 (2017) 78. | DOI

[2] C. Araz and I. Ozkarahan, Supplier evaluation and management system for strategic sourcing based on a new multicriteria sorting procedure. Int. J. Prod. Econ. 106 (2007) 585–606. | DOI

[3] D. V. Assche and Y. De Smet, FlowSort parameters elicitation based on categorization examples. Int. J. Multicriteria Decis. Making 6 (2016) 191–210. | DOI

[4] K. T. Atanassov, Intuitionistic fuzzy sets. Fuzzy Sets Syst. 20 (1986) 87–96. | MR | Zbl | DOI

[5] C. A. Bana, E. Costa, J. M. Corte and J. C. Vansnick, Multiple Criteria Decision Analysis: State of the Art Surveys. Springer, New York (2005).

[6] S. Banerjee, Arithmetic operations on generalized trapezoidal fuzzy number and its applications. Turk. J. Fuzzy Syst. 3 (2012) 16–44.

[7] A. C. Campos, B. Mareschal and A. Almeida, Fuzzy FlowSort: an integration of the FlowSort method and Fuzzy Set Theory for decision making on the basis of inaccurate quantitative data. Inf. Sci. 293 (2015) 115–123. | DOI

[8] T. Y. Chen, The inclusion-based TOPSIS method with interval-valued intuitionistic fuzzy sets for multiple criteria group decision making. Appl. Soft Comput. 26 (2015) 57–73. | DOI

[9] B. E. Costa and A. Carlos, Les problématiques de l’aide à la d’décision: vers l’enrichissement de la trilogie choix-tri-rangement. RAIRO-Oper. Res. 30 (1996) 191–216. | Zbl | Numdam | DOI

[10] D. Dubois and H. Prade, The legacy of 50 years of fuzzy sets: a discussion. Fuzzy Sets Syst. 281 (2015) 21–31. | MR | DOI

[11] E. Fernandez and J. Navarro, A new approach to multi-criteria sorting based on fuzzy outranking relations: the THESEUS method. Eur. J. Oper. Res. 213 (2011) 405–413. | MR | Zbl | DOI

[12] J. Figueira, Y. De Smet and J. P. Brans, MCDA methods for sorting and clustering problems: Promethee TRI and Promethee CLUSTER. Université Libre de Bruxelles, Service deMathématiques de la Gestion Working Paper (2004).

[13] A. Gani and S. Abbas, A new average method for solving intuitionistic fuzzy transportation problem. Int. J. Pure Appl. Math. 93 (2014) 491–499. | DOI

[14] S. S. Gautam and S. R. Singh, TOPSIS for multi criteria decision making in intuitionistic fuzzy environment. Int. J. Comput. App. 156 (2016) 42–49.

[15] C. L. Hwang and K. Yoon, Multiple Attributes Decision Making Methods and Applications. Springer, Berlin Heidelberg (1981). | MR | Zbl | DOI

[16] A. Ishizaka and M. Gordon, MACBETHSort: a multiple criteria decision method for sorting strategic products. J. Oper. Res. Soc. 68 (2017) 53–61. | DOI

[17] A. Ishizaka and V. Pereira, Utilisation of ANPSort for sorting alternative with interdependent criteria illustrated through a researcher’s classification problem in an academic context. Soft Comput. 24 (2020) 13639–13650. | DOI

[18] A. Ishizaka, C. Pearman and P. Nemery, AHPSort: an AHP-based method for sorting problems. Int. J. Prod. Res. 50 (2012) 4767–4784. | DOI

[19] P. Janssen and P. Nemery, An extension of the FlowSort sorting method to deal with imprecision, 4OR-Q J. Oper. Res. 11 (2012) 171–193. | MR | Zbl | DOI

[20] D. F. Li, J. X. Nan and M. J. Zhang, A ranking method of triangular intuitionistic fuzzy numbers and application to decision making. Int. J. Comput. Intell. Syst. 3 (2012) 522–530.

[21] F. Lolli, A. Ishizaka, R. Gamberini, B. Rimini and M. Messori, FlowSort-GDSS – a novel group multi-criteria decision support system for sorting problems with application to fmea. Expert Syst. App. 42 (2015) 6342–6349. | DOI

[22] G. S. Mahapatra and T. K. Roy, Reliability evaluation using triangular intuitionistic fuzzy numbers arithmetic operations. World Acad. Sci. Eng. Technol. 50 (2009) 574–581.

[23] I. Mahdavi, N. Mahdavi-Amiri, A. Heidarzade and R. Nourifar, Designing a model of fuzzy TOPSIS in multiple criteria decision making. Appl. Math. Comput. 206 (2008) 607–617. | MR | Zbl

[24] P. Nemery and C. Lamboray, FlowSort: a flow-based sorting method with limiting or central profiles. TOP (Off. J. Span. Soc. Stat. Oper. Res.) 16 (2008) 90–113. | MR | Zbl

[25] J.H. Park, H. J. Cho and Y. C. Kwun, Extension of the VIKOR method for group decision making with interval-valued intuitionistic fuzzy information. Fuzzy Optim. Decis. Making 10 (2011) 233–253. | MR | Zbl | DOI

[26] R. Pelissari, M. C. Oliveira, S. B. Amor and A. J. Abackerli, A new FlowSort-based method to deal with information imperfections in sorting decision-making problems. Eur. J. Oper. Res. 276 (2019) 235–246. | MR | DOI

[27] A. Sengupta and T. K. Pal, On comparing interval numbers: a study on existing ideas. Stud. Fuzziness Soft Comput. 238 (2009) 25–37. | DOI

[28] S. Singh, Intuitionistic fuzzy DEA/AR and its application to flexible manufacturing systems. RAIRO: Oper. Res. 52 (2018) 241–257. | MR | Zbl | Numdam | DOI

[29] W. Yu, ELECTRE TRI. Aspects méthodologiques et guide d’utilisation, Document du LAMSADE, Université Paris-Dauphine (1992).

[30] L. A. Zadeh, Fuzzy sets. Inf. Control 8 (1965) 338–353. | MR | Zbl | DOI

[31] X. Zhang, F. Jin and P. Liu, A grey relational projection method for multi-attribute decision making based on intuitionistic trapezoidal fuzzy number. Appl. Math. Modell. 37 (2013) 3467–3477. | MR | DOI

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