Algebraic Operations on Complex Trigonometric Fuzzy Sets with Reciprocal Fractional Floor Functions

A set with membership values that are vectors in the complex plane’s unit circle is called a complex fuzzy set. The capacity of the complex fuzzy set to explain both contentment and discontent, as well as the lack of confusing information in two-dimensional situations, are some of its noteworthy ben...

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Bibliographic Details
Published inEuropean journal of pure and applied mathematics Vol. 18; no. 3; p. 6222
Main Authors M, Palanikumar, Kausar, Nasreen, Brikena Vrioni, Hoxha, Ervin
Format Journal Article
LanguageEnglish
Published 01.08.2025
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ISSN1307-5543
1307-5543
DOI10.29020/nybg.ejpam.v18i3.6222

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Summary:A set with membership values that are vectors in the complex plane’s unit circle is called a complex fuzzy set. The capacity of the complex fuzzy set to explain both contentment and discontent, as well as the lack of confusing information in two-dimensional situations, are some of its noteworthy benefits. For this study to offer a strong and adaptable tool for complexity and uncertain circumstances, a fuzzy set and a complex fuzzy set must be combined. A novel approach to generating complex sine trigonometric reciprocal fractional floor functions from fuzzy sets is presented in this work. This work explores the usage of fuzzy sets in averaging, geometric, generalized weighted averaging and generalized weighted geometric. An aggregating model is used to determine the weighted average and geometric. Some sets with important properties will be further analyzed using algebraic approaches.
ISSN:1307-5543
1307-5543
DOI:10.29020/nybg.ejpam.v18i3.6222