Picture Fuzzy N-Soft Sets and Their Applications in Decision-Making Problems

References

• Zadeh LA. Fuzzy sets. Inf Control. 1965;8(3):338–353.
   Google Scholar
• Atanassov K. Intuitionistic fuzzy sets. Fuzzy Sets Syst. 1986;20(1):87–96.
   Web of Science ®Google Scholar
• Cuong BC, Kreinovich V. Picture fuzzy sets. J Comput Sci Cyberne. 2014;30(4):409–420.
   Google Scholar
• Cuong BC, Van Hai P. Some fuzzy logic operators for picture fuzzy sets. In 2015 seventh international conference on knowledge and systems engineering (KSE); 2015 Oct; IEEE. p. 132–137.
   Google Scholar
• Luo M, Zhang Y. A new similarity measure between picture fuzzy sets and its application. Eng Appl Artif Intell. 2020;96:1–22.
   Web of Science ®Google Scholar
• Khan MJ, Kumam P, Deebani W, et al. Bi-parametric distance and similarity measures of picture fuzzy sets and their applications in medical diagnosis. Egypt Inf J. 2020;22(2):201–212.
   Web of Science ®Google Scholar
• Khan MJ, Kumam P, Deebani W, et al. Distance and similarity measures for spherical fuzzy sets and their applications in selecting mega projects. Mathematics. 2020;8(4):1–14.
   Web of Science ®Google Scholar
• Mahmood T, Rehman UU, Ali Z, et al. Hybrid vector similarity measures based on complex hesitant fuzzy sets and their applications to pattern recognition and medical diagnosis. J Intell Fuzzy Syst. 2020; (Preprint), 1–22.
   Google Scholar
• Mahmood T, Rehman UU, Ali Z, et al. Jaccard and dice similarity measures based on novel complex dual hesitant fuzzy sets and their applications. Math Probl Eng. 2020;2020:1–25.
   Web of Science ®Google Scholar
• Molodtsov D. Soft set theory—first results. Comput Math Appl. 1999;37(4–5):19–31.
   Web of Science ®Google Scholar
• Maji PK, Biswas R, Roy A. Soft set theory. Comput Math Appl. 2003;45(4–5):555–562.
   Web of Science ®Google Scholar
• Feng F, Jun YB, Liu X, et al. An adjustable approach to fuzzy soft set based decision making. J Comput Appl Math. 2010;234(1):10–20.
   Web of Science ®Google Scholar
• Alcantud JCR, Santos-García G. A new criterion for soft set based decision making problems under incomplete information. Int J Comput Intell Syst. 2017;10(1):394–404.
   Web of Science ®Google Scholar
• Kong Z, Gao L, Wang L. Comment on “A fuzzy soft set theoretic approach to decision making problems”. J Comput Appl Math. 2009;223(2):540–542.
   Web of Science ®Google Scholar
• Roy AR, Maji PK. A fuzzy soft set theoretic approach to decision making problems. J Comput Appl Math. 2007;203(2):412–418.
   Web of Science ®Google Scholar
• Maji PK, Roy AR, Biswas R. An application of soft sets in a decision making problem. Comput Math Appl. 2002;44(8–9):1077–1083.
   Web of Science ®Google Scholar
• Zou Y, Xiao Z. Data analysis approaches of soft sets under incomplete information. Knowl Based Syst. 2008;21(8):941–945.
   Web of Science ®Google Scholar
• Ali MI, Feng F, Liu X, et al. On some new operations in soft set theory. Comput Math Appl. 2009;57(9):1547–1553.
   Web of Science ®Google Scholar
• Maji PK, Biswas RK, Roy A. (2001). Fuzzy soft sets.
   Google Scholar
• Alcantud JCR. A novel algorithm for fuzzy soft set based decision making from multiobserver input parameter data set. Inf Fusion. 2016;29:142–148.
   Web of Science ®Google Scholar
• Maji PK, Biswas R, Roy AR. Intuitionistic fuzzy soft sets. J Fuzzy Math. 2001;9(3):677–692.
   Google Scholar
• Khan MJ, Kumam P, Liu P, et al. A novel approach to generalized intuitionistic fuzzy soft sets and its application in decision support system. Mathematics. 2019;7(8):1–21.
   Web of Science ®Google Scholar
• Khan MJ, Kumam P, Liu P, et al. Another view on generalized interval valued intuitionistic fuzzy soft set and its applications in decision support system. J Intell Fuzzy Syst. 2020; (Preprint), 1–15.
   Google Scholar
• Khan MJ, Kumam P, Alreshidi NA, et al. The renewable energy source selection by remoteness index-based VIKOR method for generalized intuitionistic fuzzy soft sets. Symmetry (Basel). 2020;12(6):1–30.
   Google Scholar
• Khan MJ, Kumam P. Distance and similarity measures of generalized intuitionistic fuzzy soft set and its applications in decision support system. In International Conference on Intelligent and Fuzzy Systems; 2020, Jul. Cham: Springer; p. 355–362.
   Google Scholar
• Yang Y, Liang C, Ji S, et al. Adjustable soft discernibility matrix based on picture fuzzy soft sets and its applications in decision making. J Intell Fuzzy Syst. 2015;29(4):1711–1722.
   Web of Science ®Google Scholar
• Khan MJ, Kumam P, Ashraf S, et al. Generalized picture fuzzy soft sets and their application in decision support systems. Symmetry (Basel). 2019;11(3):1–27.
   Google Scholar
• Jan N, Mahmood T, Zedam L, et al. Multi-valued picture fuzzy soft sets and their applications in group decision-making problems. Soft Comput. 2020;24(24):18857–18879.
   Web of Science ®Google Scholar
• Khan MJ, Phiangsungnoen S, Kumam W. Applications of generalized picture fuzzy soft set in concept selection. Thai J Math. 2020;18(1):296–314.
   Web of Science ®Google Scholar
• Khan MJ, Kumam P, Liu P, et al. An adjustable weighted soft discernibility matrix based on generalized picture fuzzy soft set and its applications in decision making. J Intell Fuzzy Syst. 2020;38(2):2103–2118.
   Web of Science ®Google Scholar
• Khan MJ, Kumam P, Kumam W. Theoretical justifications for the empirically successful VIKOR approach to multi-criteria decision making. Soft Comput. 2021: 1–7. https://doi.org/10.1007/s00500-020-05548-6
   Web of Science ®Google Scholar
• Akram M, Shabir M, Al-Kenani AN, et al. Hybrid decision-making frameworks under complex spherical fuzzy-soft sets. J Math. 2021;2021:1–46.
   Web of Science ®Google Scholar
• Fatimah F, Rosadi D, Hakim RBF, et al. Probabilistic soft sets and dual probabilistic soft sets in decision making with positive and negative parameters. J Phys: Conf Ser. 2018 Mar; 983(1): 012112. IOP Publishing.
   Google Scholar
• Gong K, Xiao Z, Zhang X. The bijective soft set with its operations. Comput Math Appl. 2010;60(8):2270–2278.
   Web of Science ®Google Scholar
• Naz M, Shabir M. On fuzzy bipolar soft sets, their algebraic structures and applications. J Intell Fuzzy Syst. 2014;26(4):1645–1656.
   Web of Science ®Google Scholar
• Fatimah F, Rosadi D, Hakim RF, et al. N-soft sets and their decision making algorithms. Soft comput. 2018;22(12):3829–3842.
   Web of Science ®Google Scholar
• Alcantud JCR, Feng F, Yager RR. An N-soft set approach to rough sets. IEEE Trans Fuzzy Syst. 2019;28(11):2996–3007.
   Web of Science ®Google Scholar
• Kamacı H, Petchimuthu S. Bipolar N-soft set theory with applications. Soft Comput. 2020;24(22):16727–16743.
   Web of Science ®Google Scholar
• Fatimah F, Alcantud JCR. The multi-fuzzy N-soft set and its applications to decision-making. Neural Comput Appl. 2021;22(12):1–10.
   Google Scholar
• Akram M, Shabir M, Ashraf A. Complex neutrosophic N-soft sets: a new model with applications. Neutrosophic Sets Syst. 2021;42:278–301.
   Google Scholar
• Akram M, Wasim F, Al-Kenani AN. A hybrid decision-making approach under complex Pythagorean fuzzy N-soft sets. Int J Comput Intell Syst. 2021;14(1):1263–1291.
   Web of Science ®Google Scholar
• Mahmood T, Rehman UU, Ahmmad J. Complex picture fuzzy N-soft sets and their decision making algorithm. 2021; https://doi.org/10.21203/rs.3.rs-278288/v1.
   Google Scholar
• Akram M, Ali G, Alcantud JC, et al. Parameter reductions in N-soft sets and their applications in decision-making. Expert Syst. 2021;38(1):1–15.
   Web of Science ®Google Scholar
• Ma X, Liu Q, Zhan J. A survey of decision making methods based on certain hybrid soft set models. Artif Intell Rev. 2017;47(4):507–530.
   Web of Science ®Google Scholar
• Akram M, Adeel A, Alcantud JCR. Fuzzy N-soft sets: a novel model with applications. J Intell Fuzzy Syst. 2018;35(4):4757–4771.
   Web of Science ®Google Scholar
• Akram M, Ali G, Alcantud JCR. New decision-making hybrid model: intuitionistic fuzzy N-soft rough sets. Soft Comput. 2019;23(20):9853–9868.
   Web of Science ®Google Scholar
• Mahmood T, Ullah K, Khan Q, et al. An approach towards decision making and medical diagnosis problems using the concept of spherical fuzzy sets. Neural Comput Appl. 2019;31:7041–7053.
   Web of Science ®Google Scholar
• Mahmood T. A novel approach toward bipolar soft Sets and their applications. J Math. 2020;2020:1–11.
   Web of Science ®Google Scholar
• Mahmood T, Rehman UU, Ali Z. Exponential and non-exponential based generalized similarity measures for complex hesitant fuzzy sets with applications. Fuzzy Inf Eng. 2020;12(1):1–33.
   Web of Science ®Google Scholar
• Garg H, Mahmood T, Rehman UU, et al. CHFS: complex hesitant fuzzy sets-their applications to decision making with different and innovative distance measures. CAAI Trans Intell Technol. 2021;6(1):93–122.
   Google Scholar
• Chinram R, Mahmood T, Rehman UU, et al. Some novel cosine similarity measures based on complex hesitant fuzzy sets and their applications. J Math. 2021;2021:1–20.
   Web of Science ®Google Scholar
• Rehman UU, Mahmood T, Ali Z, et al. A novel approach of complex dual hesitant fuzzy sets and their applications in pattern recognition and medical diagnosis. J Math. 2021;2021:1–31.
   Web of Science ®Google Scholar