TOPSIS Technique of MCDM under Cubic Intuitionistic Fuzzy Soft Set Environment
Abstract
Abstract Views: 18A powerful tool for dealing with ambiguity, attributive values, fuzziness, and inconsistency is the cubic intuitionistic fuzzy soft set. In this paper, multi-criteria group decision-making (MCGDM) technique called extended TOPSIS based on distance and similarity measures is presented. Furthermore, a real-world problem is resolved by applying CIFS-set to support the theoretical visualization. Arguably, the proposed technique works well and has practical uses.
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Zadeh LA. Fuzzy sets. Inf Control. 1965;8(3):338–353. https://doi.org/10.1016/S0019- 9958(65)90241-X
Atanassov KT. Intuitionistic fuzzy sets. Fuzzy Sets Syst. 1986;20(1):87–96. https://doi.org/10.1016/S0165-0114(86)80034-3
Szmidt E, Kacprzyk, J. Distances between intuitionistic fuzzy sets. Fuzzy Sets Syst. 2000;114(3):505–518. https://doi.org/10.1016/S0165-0114(98)00244-9
Wang W, Xin X. Distance measure between intuitionistic fuzzy sets. Pattern Recognit Lett. 2005;26(13):2063–2069. https://doi.org/10.1016/j.patrec.2005.03.018
Hung WL, Yang MS. Similarity measures of intuitionistic fuzzy sets based on Hausdorff distance. Pattern Recognit Lett. 2004;25(14):1603–1611. https://doi.org/10.1016/j.patrec.2004.06.006
Lai YJ, Liu TY, Hwang CL. TOPSIS for MODM. Eur J Oper Res. 1994;76(3):486–500. https://doi.org/10.1016/0377-2217(94)90282-8
Atanassov K, Gargov G. Interval valued intuitionistic fuzzy sets. Fuzzy Sets Syst. 1989;31(3):343–349. https://doi.org/10.1016/0165-0114(89)90205-4
Jahanshahloo GR, Lotfi FH, Izadikhah M. Extension of the TOPSIS method for decision-making problems with fuzzy data. Appl Math Comput. 2006;181(2):1544–1551. https://doi.org/10.1016/j.amc.2006.02.057
Chu TC, Lin YC. A fuzzy TOPSIS method for robot selection. Int J Adv Manuf Technol. 2003;21(4):284–290. https://doi.org/10.1007/s001700300033
Zulqarnain RM, Xin XL, Saeed M, Smarandache F, Ahmad N. Generalized fuzzy TOPSIS to solve multi-criteria decision-making problems. J New Theory. 2020;32:40–50.
Saqlain M, Jafar MN, Riaz M. A new approach of neutrosophic soft set with generalized fuzzy TOPSIS in application of smart phone selection. Neutrosophic Sets Syst. 2020;32:307–316.
Shen F, Ma X, Li Z, Xu Z, Cai D. An extended intuitionistic fuzzy TOPSIS method based on a new distance measure with an application to credit risk evaluation. Inf Sci. 2018;428:105–119. https://doi.org/10.1016/j.ins.2017.10.045
Chang CH, Lin JJ, Lin JH, Chiang MC, Ho WR. Domestic open-end equity mutual fund
performance evaluation using extended TOPSIS method with different distance
approaches. Expert Syst Appl. 2010;37(6):4642–4649. https://doi.org/10.1016/j.eswa.2009.12.044
Li H, Su L, Cao Y, Lv L. A pythagorean fuzzy TOPSIS method based on similarity measure and its application to project delivery system selection. J Intell Fuzzy Syst. 2019;37(5):7059–7071. https://doi.org/10.3233/JIFS-181690
Gupta P, Mehlawat MK, Grover N, Pedrycz W. Multi-attribute group decision making based on extended TOPSIS method under interval-valued intuitionistic fuzzy environment. Appl Soft Comput. 2018;69:554–567.
https://doi.org/10.1016/j.asoc.2018.04.032
Garg H, Kaur G. Extended TOPSIS method for multi-criteria group decision-making problems under cubic intuitionistic fuzzy environment. Sci Iran. 2020;27(1):396–410. https://doi.org/10.24200/sci.2018.5307.1194
Pramanik S, Dey PP, Giri BC, Smarandache F. An extended TOPSIS for multi-attribute decision making problems with neutrosophic cubic information. Neutrosophic Sets Syst. 2017;17(1):20–28.
Jun YB, Kim CS, Yang KO. Cubic sets. Ann Fuzzy Math Inform. 2012;4(1):83-98.
Garg H, Kaur G. Cubic intuitionistic fuzzy sets and its fundamental properties. J Mul Valued Log Soft Comput. 2019;33(6):507–537.
Maji PK, Biswas R, Roy AR. Soft set theory. Comput Math Appl. 2003;45(4-5):555–562. https://doi.org/10.1016/S0898-1221(03)00016-6
Saqlain M, Imran R, Hassan S. Cubic Intuitionistic fuzzy soft set and its distance measures. Sci Inquiry Rev. 2022;6(2):59–75. https://doi.org/10.32350/sir.62.04
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