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Research Article

Picture Fuzzy Soft Robust VIKOR Method and its Applications in Decision-Making

, ORCID Icon, ORCID Icon &
Pages 296-322 | Received 26 Apr 2021, Accepted 25 May 2021, Published online: 08 Aug 2021

References

  • Zadeh LA. Fuzzy sets. Inf Control. 1965;8:338–353.
  • Atanassov KT. Intuitionistic fuzzy sets. Fuzzy Sets Syst. 1986;20:87–96.
  • Hayat K, Ali MI, Alcantud JCR, et al. Best concept selection in design process: an application of generalized intuitionistic fuzzy soft sets. J Intel Fuzzy Syst. 2018;35(5):5707–5720.
  • Cuong BC. Picture fuzzy sets. J Comput Sci Cybern. 2014;30:409–420.
  • Cuong BC, Kreinovich V. Picture fuzzy sets -- a new concept for computational intelligence problems. In Third World Congress on Information and Communication Technologies WICT'2013, Hanoi, Vietnam, Dec. 15–18, 2013. p. 1–6.
  • Cuong BC, Hai PV. Some fuzzy logic operators for picture fuzzy sets. In Seventh International Conference on Knowledge and Systems Engineering. 2015. p. 132–137.
  • Cuong BC, Kreinovich V, Ngan RT. A classification of representable t-norm operators for picture fuzzy sets. In Eighth International Conference on Knowledge and Systems Engineering (KSE). 2016.
  • 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 Int Fuzzy Syst. 2015;29(4):1711–1722.
  • Hayat K, Ali MI, Karaaslan F, et al. Design concept evaluation using soft sets based on acceptable and satisfactory levels: an integrated TOPSIS and Shannon entropy. Soft Comput. 2020;24(3):2229–2263.
  • Cables Pérez EH, Lamata MT, Pelta D, et al. On OWA linear operators for decision making. Fuzzy Inform Eng. 2020;10(1):80–90. doi:https://doi.org/10.1080/16168658.2018.1509521
  • Wei G. Picture fuzzy aggregation operator and their application to multiple attribute decision making. J Int Fuzzy Syst. 2017;33:713–724.
  • Wei GW. Picture fuzzy Hamacher aggregation operators and their application to multiple attribute decision making. Fund Inform. 2018;157:271–320.
  • Jana C, Senapati T, Pal M, et al. Picture fuzzy Dombi aggregation operators: application to MADM process. Appl Soft Comput. 2019;74:99–109.
  • Wei GW, Lu M, Gao H. Picture fuzzy heronian mean aggregation operators in multiple attribute decision making. Int J Knowl-Based Intell Eng Syst. 2018;22:167–175.
  • Garg H. Some picture fuzzy aggregation operators and their applications to multi criteria decision-making. Arab J Sci Eng. 2017;42:5275–5290.
  • Khan MJ, Kumam P, Ashraf S, et al. Generalized picture fuzzy soft sets and their application in decision support systems. Symmetry. 2019;11(3):415. https://doi.org/doi.org/10.3390/sym11030415
  • Khan MJ, Phiangsungnoen S, Rehman H, et al. Applications of generalized picture fuzzy soft set in concept selection. Thai J Math. 2020;18(1):296–314.
  • 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):742. https://doi.org/10.3390/math7080742
  • Khan MJ, Kumam P, Rehman H. An adjustable weighted soft discernibility matrix based on generalized picture fuzzy soft set and its applications in decision making. J Int Fuzzy Syst. 2020;38(2):2103–2118. doi:https://doi.org/10.3233/JIFS-190812
  • 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):519. https://doi.org/10.3390/math8040519.
  • Khan MJ, Kumam P, Deebani W, et al. Bi-parametric distance and similarity measures of picture fuzzy sets and their applications in medical diagnosis. Egy Inf J. 2020;22(2):201–212. https://doi.org/https://doi.org/10.1016/j.eij.2020.08.002
  • Khan MJ, Kumam P. Distance and similarity measures of generalized intuitionistic fuzzy soft set and its applications in decision support system. Adv Intel Syst Comput. 2021;1197:355–362.
  • Khan MJ, Kumam P. Another view on generalized interval valued intuitionistic fuzzy soft set and its applications in decision support system. J Int Fuzzy Syst. 2020;38(4):4327–4341.
  • 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. 2020;12(6):977.
  • Ashraf S, Husnine SM, Rashid T. Fuzzy transitivity and monotonicity of cardinality-based similarity measures. Fuzzy Inform Engin. 2012;4(2):145–153. doi:https://doi.org/10.1007/s12543-012-0107-z
  • Bisht K, Kumar S. Intuitionistic fuzzy set-based computational method for financial time series forecasting. Fuzzy Inf Eng. 2018;10(3):307–323. doi:https://doi.org/10.1080/16168658.2019.1631557
  • Ganie AH, Singh S, Bhatia PK. Some new correlation coefficients of picture fuzzy sets with applications. Neural Comput Appl. 2020;32:12609–12625.
  • Ganie AH, Singh S. An innovative picture fuzzy distance measure and novel multi-attribute decision-making method. Complex Intell Syst. 2021;7(2):781–805. https://doi.org/10.1007/s40747-020-00235-3
  • Ganie AH, Singh S. A picture fuzzy similarity measure based on direct operations and novel multi-attribute decision-making method. Neural Comput Applic. 2021;33:9199–9219. https://doi.org/10.1007/s00521-020-05682-0
  • Singh S, Ganie AH. Applications of picture fuzzy similarity measures in pattern recognition, clustering, and MADM. Expert Syst Appl. 2021;168:114264.
  • Luo M, Zhang Y. A new similarity measure between picture fuzzy sets and its application. Eng Appl Artif Intell. 2020;96:103956.
  • Wei G. Some cosine similarity measures for picture fuzzy sets and their applications to strategic decision making. Informatica. 2017;28(3):547–564.
  • Sindhu MS, Rashid T, Kashif A. Modeling of linear programming and extended TOPSIS in decision making problem under the framework of picture fuzzy sets. PLoS One. 2019;14(8):e0220957. https://doi.org/10.1371/journal.pone.0220957
  • Thao NX. Similarity measures of picture fuzzy sets based on entropy and their application in MCDM. Pattern Anal Appl. 2020;23:1203–1213. https://doi.org/10.1007/s10044-019-00861-9
  • Opricovic S, Tzeng G-H. Compromise solution by MCDM methods: A comparative analysis of VIKOR and TOPSIS. Eur J Oper Res. 2004;156:445–455.
  • Khan MJ, Kumam P, Kumam W. Theoretical justifications for the empirically successful VIKOR approach to multi-criteria decision making. Soft Comput. 2021;25(12):7761–7767. https://doi.org/10.1007/s00500-020-05548-6
  • Chen TY. Remoteness index-based Pythagorean fuzzy VIKOR methods with a generalized distance measure for multiple criteria decision analysis. Inf Fusion. 2018;41:129–150.
  • Molodtsov D. Soft set theory-first results. Comput Math Appl. 1999;37:19–31.
  • Wei GW, Merigo JM. Methods for strategic decision making problems with immediate probabilities in intuitionistic fuzzy setting. Sci Iranica E. 2012;19:1936–1946.
  • Wang L, Zhang HY, Wang JQ, et al. Picture fuzzy normalized projection-based VIKOR method for the risk evaluation of construction project. Appl Soft Comput. 2018;64:216–226.
  • Zhang S, Wei G, Gao H, et al. EDAS method for multiple criteria group decision making with picture fuzzy information and its application to green suppliers selections. Technol Econom Develop Econom. 2019;25(6):1123–1138.
  • Meksavang P, Shi H, Lin SM, et al. An extended picture fuzzy VIKOR approach for sustainable supplier management and its application in the beef industry. Symmetry. 2019;11:468. doi:https://doi.org/10.3390/sym11040468
  • Riaz M, Hashmi MR. Linear Diophantine fuzzy set and its applications towards multi-attribute decision-making problems. J Intel Fuzzy Syst. 2019;37(4):5417–5439.
  • Riaz M, Hashmi MR, Pamucar D, et al. Spherical linear Diophantine fuzzy sets with modeling uncertainties in MCDM. Comput Model Engin Sci. 2021;126(3):1125–1164.
  • Riaz M, Tehrim ST. Cubic bipolar fuzzy set with application to multi-criteria group decision making using geometric aggregation operators. Soft Comput. 2020;24:16111–16133.
  • Riaz M, Tehrim ST. A robust extension of VIKOR method for bipolar fuzzy sets using connection numbers of SPA theory based metric spaces. Artif Intell Rev. 2021;54:561–591.
  • Alcantud JCR, Khameneh AZ, Kilicman A. Aggregation of infinite chains of intuitionistic fuzzy sets and their application to choices with temporal intuitionistic fuzzy information. Inf Sci. 2020;514:106–117.