10.30495/maca.2022.1964436.1061

T-norms over complex fuzzy subgroups

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  • Rasul Rasuli1,
  1. Department of Mathematics, Payame Noor University, P. O. Box 19395-3697, Tehran, Iran

Published in Issue 2023-01-01

How to Cite

T-norms over complex fuzzy subgroups. (2023). Mathematical Analysis and Its Contemporary Applications, 5(1). https://doi.org/10.30495/maca.2022.1964436.1061

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Abstract

In this paper, by using t-norms, we define complex fuzzy subgroups and normal complex fuzzy subgroups and investigate some of characteristics of them. Later we introduce and study the intersection and composition of them. Next, we define the concept of normality between two complex fuzzy subgroups under t-norms and obtain some properties of them. Finally, we define the image and the inverse image of them under group homomorphisms.

Keywords

  • Group theory,
  • fuzzy groups,
  • norms,
  • intersections,
  • compositions,
  • complex fuzzy subgroups,
  • normal complex fuzzy subgroups
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