TOPSIS Technique of MCDM under Cubic Intuitionistic Fuzzy Soft Set Environment

  • Muhammad Saqlain 1Department of Mathematics, King Mongkut’s University of Technology, Thonburi, Thailand.
  • Raiha Imran Department of Mathematics, Lahore Garrison University, DHA Phase-VI, Sector C, Lahore, 54000, Pakistan.
  • Sabahat Hassan Department of Mathematics, Riphah International University, Lahore Campus.
Keywords: cubic set, intuitionistic fuzzy set, intuitionistic fuzzy soft set, multi-criteria group decision-making (MCGDM), TOPSIS technique

Abstract

Abstract Views: 18

A 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.

Downloads

Download data is not yet available.

References

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

Published
2023-03-15
How to Cite
1.
Saqlain M, Imran R, Hassan S. TOPSIS Technique of MCDM under Cubic Intuitionistic Fuzzy Soft Set Environment. Sci Inquiry Rev. [Internet]. 2023Mar.15 [cited 2024Nov.21];7(1):33-2. Available from: https://journals.umt.edu.pk/index.php/SIR/article/view/3125
Section
Orignal Article