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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Abstract 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.
AbstractList 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.
Author Ibrahim, Hariwan Z.
Azzam, A. A.
Al-shami, Tareq M.
EL-Maghrabi, Ahmed I.
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  organization: Department of MathematicsFaculty of ScienceKafrelsheikh UniversityKafrelsheikhEgyptkfs.edu.eg
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SubjectTerms Decision making
Fuzzy sets
Operators (mathematics)
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Title SR-Fuzzy Sets and Their Weighted Aggregated Operators in Application to Decision-Making
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