What question did this study set out to answer?

The research aims to develop a novel decision-making framework for handling uncertainty using entropy and VIKOR method with GTHF-numbers.

April 8, 2026Yugoslav journal of operations research0 citationsOpen Access

A novel entropy based VIKOR method with Minkowski type distance measure on GTHF-numbers and its applications

VUVakkas UluçayKilis 7 Aralık University ZBZeynep BaşerKırıkkale University

Key Points

The research aims to develop a novel decision-making framework for handling uncertainty using entropy and VIKOR method with GTHF-numbers.
Developed an entropy-based VIKOR method using generalized trapezoidal fuzzy numbers (GTHFNs).
Utilized Minkowski-type distance measure for enhanced flexibility in calculations.
Demonstrated the framework's applicability through a numerical case study.
The proposed method shows improved precision in distinguishing between alternatives compared to traditional approaches.
Results indicate effective performance in environments with high uncertainty and incomplete information.

Abstract

Various set theories have been developed to model the uncertainties frequently encountered in real-world scenarios. This study proposes an entropy-based VIKOR method based on Generalized Trapezoidal Fuzzy Numbers (GTHFNs) due to their high representation capacity, with the aim of addressing uncertainty more effectively. Entropy is used to express the mathematical values of the fuzziness of GTHFNs. To ensure flexibility, the proposed method has been formulated using a Minkowski-type distance measure. This decision-making framework not only provides a way to solve the MCDM problem but also incorporates an important mathematical idea as a different solution approach. The applicability of the proposed algorithm is demonstrated through a numerical case study. Comparative results show that the method provides a more precise and effective distinction among alternatives, proving its validity in environments characterized by high uncertainty and incomplete information.

Perguntar à IA

Bookmark

View Full Paper