A note on “A novel defuzzification approach of type-2 fuzzy variable to solving matrix games: An application to plastic ban problem”

[1] C. R. Bector, S. Chandra, Fuzzy mathematical programming and fuzzy matrix games, Springer Verlag, Berlin,
Germany, 2005. https://doi.org/10.1007/3-540-32371-6

[2] A. Bhaumik, S. K. Roy, D. F. Li, Analysis of triangular intuitionistic fuzzy matrix games using robust ranking,
Journal of Intelligent and Fuzzy Systems, 33 (2017), 327-336. https://doi.org/10.3233/JIFS-161631

[3] A. Bhaumik, S. K. Roy, G. W. Weber, Hesitant interval-valued intuitionistic fuzzy-linguistic term set approach in
Prisoners’ dilemma game theory using TOPSIS: A case study on human-trafficking, Central European Journal of
Operations Research, 28 (2020), 797-816. https://doi.org/10.1007/s10100-019-00638-9

[4] L. Campos, A. Gonzalez, M. A. Vila, On the use of ranking function approach to solve fuzzy matrix games in a
direct way, Fuzzy Sets and Systems, 49 (1992), 193-202. https://doi.org/10.1016/0165-0114(92)90324-W

[5] A. Das, U. K. Bera, M. Maity, A solid transportation problem in uncertain environment involving type-
2 fuzzy variable, Neural Computing and Applications, 31 (2019), 4903-4927. https://doi.org/10.1007/
s00521-018-03988-8

[6] B. K. Debnath, P. Majumder, U. K. Bera, Multi-objective sustainable fuzzy economic production quantity (SFEPQ)
model with demand as type-2 fuzzy number: A fuzzy differential equation approach, Hacettepe Journal of Mathematics
and Statistics, 48(1) (2019), 112-139. https://doi.org/10.15672/HJMS.20164512494

[7] J. Jana, S. K. Roy, Dual hesitant fuzzy matrix games: Based on new similarity measure, Soft Computing, 23
(2019), 8873-8886. https://doi.org/10.1007/s00500-018-3486-1

[8] S. Karmakar, M. R. Seikh, O. Castillo, Type-2 intuitionistic fuzzy matrix games based on a new distance measure:
Application to biogas-plant implementation problem, Applied Soft Computing, 106 (2021). https://doi.org/10.
1016/j.asoc.2021.107357

[9] P. Kundu, S. Kar, M. Maity, Fixed charge transportation problem with type-2 fuzzy variables, Information Sciences,
255 (2014), 170-186. https://doi.org/10.1016/j.ins.2013.08.005

[10] P. Kundu, S. Kar, M. Maity, A fuzzy multi-criteria group decision making based on ranking interval type-2 fuzzy
variables and an application to transportation mode selection problem, Soft Computing, 21(11) (2017), 3051-3062.
https://doi.org/10.1007/s00500-015-1990-0

[11] D. F. Li, A fast approach to compute fuzzy values of matrix games with payoffs of triangular fuzzy numbers,
European Journal of Operational Research, 223 (2012), 421-429. https://doi.org/10.1016/j.ejor.2012.06.
020

[12] D. F. Li, An effective methodology for solving matrix games with fuzzy pay-offs, IEEE Transactions on Cybernetics,
43(2) (2013), 610-621. https://doi.org/10.1109/TSMCB.2012.2212885

[13] D. F. Li, Decision and game theory in management with intuitionistic fuzzy sets, Berlin, Germany: Springer Verlag,
2014. https://doi.org/10.1007/978-3-642-40712-3

[14] Z. Q. Liu, Y. K. Liu, Type-2 fuzzy variable and their arithmetic, Soft Computing, 14 (2010), 729-747. https:
//doi.org/10.1007/s00500-009-0461-x

[15] R. Qin, Y. K. Liu, Z. Q. Liu, Methods of critical value reduction for type-2 fuzzy variables and their applications,
Journal of Computational and Applied Mathematics, 235 (2011), 1454-1481. https://doi.org/10.1016/j.cam.
2010.08.031

[16] S. K. Roy, A. Bhaumik, Intelligent water management: A triangular type-2 intuitionistic fuzzy matrix games
approach, Water Resource Management, 32 (2018), 949-968. https://doi.org/10.1007/s11269-017-1848-6

[17] S. K. Roy, S. K. Mondal, An approach to solve fuzzy interval valued matrix game, International Journal of Operational
Research, 26(3) (2016). https://doi.org/10.1504/IJOR2016.076880

[18] M. R. Seikh, S. Dutta, A nonlinear programming model to solve matrix games with pay-offs of single-valued neutrosophic numbers, Neutrosophic Sets and Systems, 47 (2021), 366-383. https://digitalrepository.unm.edu/
nss-journal/vol47/iss1/24

[19] M. R. Seikh, S. Dutta, Solution of matrix games with payoffs of single-valued trapezoidal neutrosophic numbers,
Soft Computing, 26(3) (2022), 921-936. https://doi.org/10.1007/s00500-021-06559-7

[20] M. R. Seikh, S. Dutta, Interval neutrosophic matrix game-based approach to counter cybersecurity issue, Granular
Computing, 8(2) (2023), 271-292. https://doi.org/10.1007/s41066-022-00327-0

[21] M. R. Seikh, S. Karmakar, O. Castillo, A novel defuzzification approach of type-2 fuzzy variable to solving matrix
games: An application to plastic ban problem, Iranian Journal of Fuzzy Systems, 18(5) (2021), 155-172. https:
//doi.org/10.22111/IJFS.2021.6262

[22] M. R. Seikh, S. Karmakar, P. K. Nayak, Matrix games with dense fuzzy payoffs, International Journal of Intelligent
Systems, 36(4) (2021), 1770-1799. https://doi.org/10.1002/int.22360

[23] M. R. Seikh, S. Karmakar, M. Xia, Solving matrix games with hesitant fuzzy pay-offs, Iranian Journal of Fuzzy
Systems, 17(4) (2020), 25-40. https://doi.org/10.22111/IJFS.2020.5404

[24] M. R. Seikh, P. K. Nayak, M. Pal, Matrix games in intuitionistic fuzzy environment, International Journal of
Mathematics in Operational Research, 5(6) (2013), 693-708. https://doi.org/10.1504/IJMOR.2013.057491

[25] M. R. Seikh, P. K. Nayak, M. Pal, Matrix game with intuitionistic fuzzy payoffs, Journal of Information and
Optimization Sciences, 36(1-2) (2015), 159-181. https://doi.org/10.1080/02522667.2014.961785

[26] T. Verma, A. Kumar, Ambika methods for solving matrix games with Atanassov’s intuitinistic fuzzy pay-offs, IEEE
Transactions on Fuzzy Systems, 26(1) (2018), 270-283. https://doi.org/10.1109/TFUZZ.2017.2651103

[27] T. Verma, A. Kumar, Fuzzy solution concepts for non-cooperative games, Springer International Publishing, 2020.
https://doi.org/10.1007/978-3-030-16162-0