A novel decision-making method using R-Norm concept and VIKOR approach under picture fuzzy environment

•A New framework as a criteria for picture fuzzy entropy.•A new and effective R-Norm picture fuzzy information measure.•A new decision making method based on the concept of VIKOR.•Application of proposed method in forecasting the poll outcome and in investment problem. The Picture Fuzzy Sets (PFS) a...

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Bibliographic Details
Published in:	Expert systems with applications 2020-06, Vol.147, p.113228, Article 113228
Main Author:	Joshi, Rajesh
Format:	Article
Language:	eng
Subjects:	Axioms Decision making Elections Fuzzy logic Fuzzy sets Hamming distance Multiple criterion Picture fuzzy set R-norm picture fuzzy entropy TOPSIS
Online Access:	Get full text
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Summary:	•A New framework as a criteria for picture fuzzy entropy.•A new and effective R-Norm picture fuzzy information measure.•A new decision making method based on the concept of VIKOR.•Application of proposed method in forecasting the poll outcome and in investment problem. The Picture Fuzzy Sets (PFS) are well suitable to capture inconsistent, imprecise and uncertain information in multiple-criteria decision-making problems. This communication is intended to introduce one such information measure defined on PFSs called R-norm picture fuzzy information measure. Moreover, a new set of axioms is proposed as a criteria for picture fuzzy entropy. Besides establishing the validity of proposed R-norm picture fuzzy information measure, some of its major properties are also discussed. In application part, the proposed information measure is applied in predicting the outcome of elections in a poll bound country through opinion polls and to solve an investment problem.
ISSN:	0957-4174 1873-6793