On Weak Fuzzy Complex Pythagoras Quadruples
Fredy Canizares Galarza1, Marcos Lalama Flores2, Diego Palma Rivero2, Mohammad Abobala3,*
1Universidad Regional Autonoma de los Andes (UNIANDES) Sede Santo Domingo, Ecuador
2 Universidad Regional Autonoma de los Andes (UNIANDES), Ecuador
3 Department of Mathematics, Tishreen University, Latakia, Syria
Emails: dir.santodomingo@uniandes.edu.ec; ua.marcoslalama@uniandes.edu.ec; us.diegopalma@uniandes.edu.ec; mohammadabobala777@gmail.com
Abstract
In this work, we study the generating of Pythagoras quadruples in the sets of weak fuzzy complex integers and anti-weak fuzzy complex integers, where we present sufficient and necessary conditions for generating Pythagoras quadruples in the mentioned sets. Also, we present many examples to clarify our work's validity and novelty.
Keywords: weak fuzzy complex integer; anti-weak fuzzy complex integer; Pythagoras quadruple; Diophantine equation