Selecting the Best Project using Generalized Parametric Fuzzy Entropy Measure on Intuitionistic Fuzzy Sets

Priya Arora; V P Tomar

doi:10.17485/IJST/v16i30.637

Article

Selecting the Best Project using Generalized Parametric Fuzzy Entropy Measure on Intuitionistic Fuzzy Sets

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Indian Journal of Science and Technology

DOI: 10.17485/IJST/v16i30.637

Year: 2023, Volume: 16, Issue: 30, Pages: 2276-2286

Original Article

Selecting the Best Project using Generalized Parametric Fuzzy Entropy Measure on Intuitionistic Fuzzy Sets

Priya Arora^1*, V P Tomar²

¹Research Scholar, Department of Mathematics, Deenbandhu Chhotu Ram University of Science and Technology, Murthal, Sonepat, Haryana, 131039, India
²Associate Professor, Department of Mathematics, Deenbandhu Chhotu Ram University of Science and Technology, Murthal, Sonepat, 131039, Haryana, India

*Corresponding Author
Email: [email protected]

Received Date:19 March 2023, Accepted Date:23 June 2023, Published Date:05 August 2023

This work is licensed under a Creative Commons Attribution 4.0 International License.

Abstract

Objectives: To develop a new parametric measure of entropy for Intuitionistic Fuzzy Sets and to study its application in selecting the best project for a company. Methods: We have used five-point Likert scale to determine the feedback of different projects and devised a method based on parametric intuitionistic fuzzy entropy to select the best project for the company. Findings: In this study, a parametric measure of entropy is being proposed for intuitionistic fuzzy sets. It is a generalized version of entropy for intuitionistic fuzzy sets. Properties of the proposed entropy have also been discussed. The proposed entropy is compared with other existing measures of entropy for intuitionistic fuzzy sets using a numerical example. Finally, the application of proposed entropy in selecting the best project is studied. Novelty: The proposed entropy is stable with the structured linguistic variables which most of the entropies are not. We have used a standard method based on parametric intuitionistic fuzzy entropy measure to determine the weights of each criterion which makes it more generalized and flexible. Instead of depending just on their own knowledge, decision-makers may use the suggested model to better comprehend the relative importance of each criteria for the selection of best project.

Keywords: Fuzzy set; Intuitionistic fuzzy set; Fuzzy entropy; Intuitionistic fuzzy entropy; Linguistic variable

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© 2023 Arora & Tomar. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited. Published By Indian Society for Education and Environment (iSee)