A novel \((R,S)\)-norm entropy measure of intuitionistic fuzzy sets and its applications in multi-attribute decision-making
type: Item
instance of: scholarly article
title: A novel \((R,S)\)-norm entropy measure of intuitionistic fuzzy sets and its applications in multi-attribute decision-making
zbMATH Open document ID: 1404.94021
author: Harish Garg
author: Jaspreet Kaur
published in: Mathematics
publication date: 2018-12-18T00:00:00Z
review text: Summary: The objective of this manuscript is to present a novel information measure for measuring the degree of fuzziness in intuitionistic fuzzy sets (IFSs). To achieve it, we define an \((R,S)\)-norm-based information measure called the entropy to measure the degree of fuzziness of the set. Then, we prove that the proposed entropy measure is a valid measure and satisfies certain properties. An illustrative example related to a linguistic variable is given to demonstrate it. Then, we utilized it to propose two decision-making approaches to solve the multi-attribute decision-making (MADM) problem in the IFS environment by considering the attribute weights as either partially known or completely unknown. Finally, a practical example is provided to illustrate the decision-making process. The results corresponding to different pairs of \((R,S)\) give different choices to the decision-maker to assess their results.
Mathematics Subject Classification ID: 94A17
Mathematics Subject Classification ID: 91B06
Mathematics Subject Classification ID: 94D05
zbMATH DE Number: 6994623
zbMATH Keywords: entropy measure
zbMATH Keywords: \((R,S)\)-norm
zbMATH Keywords: multi attribute decision-making
zbMATH Keywords: information measures
zbMATH Keywords: attribute weight
zbMATH Keywords: intuitionistic fuzzy sets
MaRDI profile type: Publication
full work available at URL: math6060092
OpenAlex ID: W2805892663
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Wikidata QID: Q129746744
DOI: 10.3390/MATH6060092
description: scientific article; zbMATH DE number 6994623