Research Article

Ranking triangular intuitionistic fuzzy numbers: A Nagel point approach and applications in multi-criteria decision making

Authors

K. Arun Prakash Department of Mathematics, Kongu Engineering College, Erode, Tamil Nadu, India.
M. Suresh * Department of Mathematics, Kongu Engineering College, Erode, Tamil Nadu, India.

https://doi.org/10.48313/uda.v3i2.95

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Abstract

Ordinary fuzzy sets have been expanded into several varieties, including type 2 fuzzy, intuitionistic fuzzy, hesitant fuzzy, and others, to assist us model uncertainty. For every element in an Intuitionistic Fuzzy Set (IFS), there are membership and non-membership functions. Intuitionistic Fuzzy Numbers (IFNs) plays a vital role in many applications. In this paper, a new ranking approach of IFNs were done based on nagel points. The proposed new ranking was validated by certain results and numerical examples. In last section, we put the suggested ranking principle into practice for the installation of an aeronautical research organization center through a case study.

Keywords

Intuitionistic fuzzy sets Intuitionistic fuzzy number Triangular intuitionistic fuzzy number Nagel Point Multi-criteria decision making problem

References (24)

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Published 2026-06-14
Issue Vol. 3 No. 2 (2026): Uncertainty Discourse and Applications
Section Articles
Document Type Research Article
Views 191
Downloads 165

How to Cite

Prakash, K. A. (2026). Ranking triangular intuitionistic fuzzy numbers: A Nagel point approach and applications in multi-criteria decision making. Uncertainty Discourse and Applications, 3(2), 123-136. https://doi.org/10.48313/uda.v3i2.95

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