Neutrosophic VIKOR approach for multi-attribute group decision-making

• Authors: SAYYADI TOORANLOO Hossein , Sadat AYATOLLAH Arezoo Sadat
• Languages of publication: EN

Abstracts

EN

Uncertainty, imprecise, incomplete, and inconsistent information can be found in many real-life systems and may cause more complex problems. A neutrosophic set is an effective and useful tool to describe problems with Uncertainty, imprecise, incomplete, and inconsistent information. The neutrosophic set is characterized by three independent degrees namely the truth-membership degree (T), indeterminacy-membership degree (I), and falsity-membership degree (F). In this paper, we present an extension of the VIKOR method for the solution of multi-criteria decision-making problems, namely neutrosophic set-VIKOR (NS-VIKOR) in a refined neutrosophic environment. The weight of each decision-maker is considered a single valued neutrosophic number. The criteria for the weight of every decision-maker are also considered neutrosophic numbers. An aggregation operator is used to combine all decision-makers’ opinions into a single opinion for a rating between criteria and alternatives. Euclidean distances from the positive and negative ideal solutions are calculated to construct relative closeness coefficients. Lastly, an illustrative example of tablet selection is provided to show the applicability of the proposed VIKOR approach.

Keywords

EN

fuzzy sets; VIKOR; group decision-making; refined neutrosophic environment

• Publisher: Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
• Journal: Operations Research and Decisions
• Year: 2024
• Volume: 34
• Issue: 2
• Pages: 121-134

Contributors

author

SAYYADI TOORANLOO Hossein

• Management Faculty, Meybod University, Meybod, Iran

author

Sadat AYATOLLAH Arezoo Sadat

• Information Technology Management, Management Faculty, Islamic Azad University of Central Tehran Branch, Tehran, Iran

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Identifiers

DOI

10.37190/ord240208