Abstract
The extensions of ordinary fuzzy sets such as intuitionistic fuzzy sets (IFS), Pythagorean fuzzy sets (PFS), and neutrosophic sets (NS), whose membership functions are based on three dimensions, aim to describe expert’s judgments more informatively and explicitly. Introduction of generalized three dimensional spherical fuzzy sets (SFS) including some essential differences from the other fuzzy sets is presented in the literature with their arithmetic, aggregation, and defuzzfication operations [1]. This study summarizes the previously introduced spherical fuzzy sets and as an application spherical fuzzy CODAS method will be applied to the warehouse location selection problem.
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Kutlu Gündoğdu, F., Kahraman, C.: Spherical fuzzy sets and spherical fuzzy TOPSIS method. J. Intell. Fuzzy Syst. 36(1), 337–352 (2019)
Zadeh, L.A.: Fuzzy sets. Inf. Control 8, 338–353 (1965)
Zadeh, L.A.: The concept of a linguistic variable and its application to approximate reasoning. Inf. Sci. 8, 199–249 (1975)
Atanassov, K.T.: Intuitionistic fuzzy sets. Fuzzy Sets Syst. 20(1), 87–96 (1986)
Atanassov, K.T.: Geometrical interpretation of the elements of the intuitionistic fuzzy objects Preprint IM-MFAIS (1989) 1-89, Sofia. Reprinted. Int. J. Bioautomation 20(S1), 27–42 (2016)
Garibaldi, J.M., Ozen, T.: Uncertain fuzzy reasoning: a case study in modelling expert decision making. IEEE Trans. Fuzzy Syst. 15(1), 16–30 (2007)
Grattan-Guinness, I.: Fuzzy membership mapped onto interval and many-valued quantities. Zeitschrift fur mathematische Logik und Grundladen der Mathematik 22(1), 149–160 (1976)
Jahn, K.U.: Intervall-wertige Mengen. Mathematische Nachrichten 68(1), 115–132 (1975)
Sambuc, R.: Function Φ-Flous, Application a l’aide au Diagnostic en Pathologie Thyroidienne. University of Marseille (1975)
Smarandache, F.: Neutrosophy: neutrosophic probability, set, and logic: analytic synthesis & synthetic analysis (1998)
Torra, V.: Hesitant fuzzy sets. Int. J. Intell. Syst. 25(6), 529–539 (2010)
Yager, R.R.: Pythagorean fuzzy subsets. Joint IFSA World Congress and NAFIPS Annual Meeting, pp. 57–61, Edmonton, Canada (2013)
Yager, R.: On the theory of bags. Int. J. Gen. Syst. 13(1), 23–37 (1986)
Keshavarz Ghorabaee, M., Zavadskas, E., Turskis, Z., Antucheviciene, J.: A new combinative distance-based assessment (Codas) method for multi-criteria decision-making. Econ. Comput. Econ. Cybern. Stud. Res. 50, 25–44 (2016)
Szmidt, E., Kacprzyk, J.: Distances between intuitionistic fuzzy sets. Fuzzy Sets Syst. 114, 505–518 (2000)
Yang, Y., Chiclana, F.: Intuitionistic fuzzy sets: Spherical representation and distances. Int. J. Intell. Syst. 24, 399–420 (2009)
Boran, F.E., Genç, S., Kurt, M., Akay, D.: A multi-criteria intuitionistic fuzzy group decision making for supplier selection with TOPSIS method. Expert Syst. Appl. 36, 11363–11368 (2009)
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Kutlu Gündoğdu, F., Kahraman, C. (2020). Spherical Fuzzy Sets and Decision Making Applications. In: Kahraman, C., Cebi, S., Cevik Onar, S., Oztaysi, B., Tolga, A., Sari, I. (eds) Intelligent and Fuzzy Techniques in Big Data Analytics and Decision Making. INFUS 2019. Advances in Intelligent Systems and Computing, vol 1029. Springer, Cham. https://doi.org/10.1007/978-3-030-23756-1_116
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