An information measure based extended VIKOR method in intuitionistic fuzzy valued neutrosophic value setting for multi-criteria group decision making

Document Type : Article


1 Ankara University, Faculty of Science, Department of Mathematics, 06100 Ankara Turkey

2 School of Mathematics, Thapar Institute of Engineering & Technology, Deemed University Patiala 147004, Punjab, India


The paper presents an extended VIseKriterijumska Optimizacija I Kompromisno Resenje (VIKOR) method for solving group decision-making problems. The uncertainties given in the data are handled with the help of the intuitionistic fuzzy valued neutrosophic values (IFVNVs), which allow decision-makers to carry more detailed information while providing their preferences in the imprecise environment. The proposed VIKOR method utilized the features of IFVNVs and computed the distance measures between their pairs using $L^p$-metric and $L^\infty$-metric. The weights of the different criteria are computed by using the entropy-based measures for the families of IFVNVs. The presented method has been illustrated with a numerical example. A comparative interpretation and the sensitivity analysis of the parameter associated with the technique are achieved to reveal their influences.


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