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A New Entropy Measurement for the Analysis of Uncertain Data in MCDA Problems Using Intuitionistic Fuzzy Sets and COPRAS Method.

Authors :
Thakur, Parul
Kizielewicz, Bartłomiej
Gandotra, Neeraj
Shekhovtsov, Andrii
Saini, Namita
Saeid, Arsham Borumand
Sałabun, Wojciech
Source :
Axioms (2075-1680). Dec2021, Vol. 10 Issue 4, p335-335. 1p.
Publication Year :
2021

Abstract

In this paper, we propose a new intuitionistic entropy measurement for multi-criteria decision-making (MCDM) problems. The entropy of an intuitionistic fuzzy set (IFS) measures uncertainty related to the data modelling as IFS. The entropy of fuzzy sets is widely used in decision support methods, where dealing with uncertain data grows in importance. The Complex Proportional Assessment (COPRAS) method identifies the preferences and ranking of decisional variants. It also allows for a more comprehensive analysis of complex decision-making problems, where many opposite criteria are observed. This approach allows us to minimize cost and maximize profit in the finally chosen decision (alternative). This paper presents a new entropy measurement for fuzzy intuitionistic sets and an application example using the IFS COPRAS method. The new entropy method was used in the decision-making process to calculate the objective weights. In addition, other entropy methods determining objective weights were also compared with the proposed approach. The presented results allow us to conclude that the new entropy measure can be applied to decision problems in uncertain data environments since the proposed entropy measure is stable and unambiguous. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
20751680
Volume :
10
Issue :
4
Database :
Academic Search Index
Journal :
Axioms (2075-1680)
Publication Type :
Academic Journal
Accession number :
154316990
Full Text :
https://doi.org/10.3390/axioms10040335