Turkish Journal of Computer and Mathematics Education
Journal license

Journal

Turkish Journal of Computer and Mathematics Education


Volume
& Issue

Volume 12, Issue 3


Published
on

April 5, 2021


Pages

3715-3730


DOI

Article

An Extension of TODIM with VIKOR approach based on Gini Simpson Index of Diversity under Picture fuzzy framework to Evaluate Opinion Polls


Authors

Sunit Kumar Affiliation:
Department of Mathematics, Maharishi Markandeshwar (Deemed to be University), Mullana, Haryana, India
and Satish Kumar Affiliation:
Department of Mathematics, Maharishi Markandeshwar (Deemed to be University), Mullana, Haryana, India


Abstract

Cuong and Kreinovich was the first who gives the idea of Picture fuzzy set (PFS), which is an extension of intuitionistic fuzzy set (IFS) by cosidering posit ive, negative and neutral membership of element. In this paper, we have been worked on new entropy measure of PFS from the probabilistic view point and it’s properties are examined from mathematical point of view. A hybrid aproach is presented with the ass istance of TODIM (Portuguese abbreviation for Interactive Multi - Criteria Decision Making) and VIKOR (Vlsekriterijumska Optimizacija I Kompromisno Resenje) methods. Further, we applied it to MCDM (multi criterion decision making) problems with picture fuzzy numbers (PFNs), where the information about criteria synthetic weights is partially known and completely unknown and show its existence with the help of some practical cases. After getting the output, we are able to infer that the proposed hybrid approach is comparatively better so as to handle the uncertainty and vulnerabilities for the decision making problems. Based upon these two approaches we can determine the opinion poll of voting outcomes and then, we compare its result with other MCDM approaches t hat exists in the literature.


Keywords

Picture fuzzy sets, Distance measure, Picture fuzzy numbers, Hybrid TODIM-VIKOR


Citation

Kumar, S. & Kumar, S. (2021). An extension of TODIM with VIKOR approach based on gini simpson index of diversity under picture fuzzy framework to evaluate opinion polls. Turkish Journal of Computer and Mathematics Education, 12(3), 3715–3730.

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