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

Authors

  • Palanikumar M Department of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Chennai-602105, India
  • Nasreen Kausar Faculty of Arts and Science, Balikesir University, 10145 Balikesir, Turkey;
  • Brikena Vrioni School of Arts and Sciences, American International University, Kuwait
  • Ervin Hoxha School of Arts and Sciences, American International University, Kuwait

DOI:

https://doi.org/10.29020/nybg.ejpam.v18i3.6222

Keywords:

reciprocal fractional oor functions, averaging, geometric, generalized weighted averaging and generalized weighted geometric

Abstract

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.

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Published

2025-08-01

Issue

Vol. 18 No. 3: (July 2025)

Section

Mathematical and Fuzzy Logic

License

Copyright (c) 2025 Palanikumar M, Nasreen Kausar, Brikena Vrioni, Ervin Hoxha

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How to Cite

Algebraic Operations on Complex Trigonometric Fuzzy Sets with Reciprocal Fractional Floor Functions. (2025). European Journal of Pure and Applied Mathematics, 18(3), 6222. https://doi.org/10.29020/nybg.ejpam.v18i3.6222