SR-Fuzzy Sets and Their Weighted Aggregated Operators in Application to Decision-Making

An intuitionistic fuzzy set is one of the efficient generalizations of a fuzzy set for dealing with vagueness/uncertainties in information. Under this environment, in this manuscript, we familiarize a new type of extensions of fuzzy sets called square-root fuzzy sets (briefly, SR-Fuzzy sets) and con...

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Published inJournal of function spaces Vol. 2022; pp. 1 - 14
Main Authors Al-shami, Tareq M., Ibrahim, Hariwan Z., Azzam, A. A., EL-Maghrabi, Ahmed I.
Format Journal Article
LanguageEnglish
Published New York Hindawi 11.03.2022
Hindawi Limited
Subjects
Decision making
Fuzzy sets
Operators (mathematics)
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Summary:An intuitionistic fuzzy set is one of the efficient generalizations of a fuzzy set for dealing with vagueness/uncertainties in information. Under this environment, in this manuscript, we familiarize a new type of extensions of fuzzy sets called square-root fuzzy sets (briefly, SR-Fuzzy sets) and contrast SR-Fuzzy sets with intuitionistic fuzzy sets and Pythagorean fuzzy sets. We discover the essential set of operations for the SR-Fuzzy sets along with their several properties. In addition, we define a score function for the ranking of SR-Fuzzy sets. To study multiattribute decision-making problems, we introduce four new weighted aggregated operators, namely, SR-Fuzzy weighted average (SR-FWA) operator, SR-Fuzzy weighted geometric (SR-FWG) operator, SR-Fuzzy weighted power average (SR-FWPA) operator, and SR-Fuzzy weighted power geometric (SR-FWPG) operator over SR-Fuzzy sets. We apply these operators to select the top-rank university and show how we can choose the best option by comparing the aggregate outputs through score values.
ISSN:2314-8896
2314-8888
DOI:10.1155/2022/3653225