On Some Novel Generalizations of Weak Fuzzy Complex Numbers

Zahraa Hasan, Rama Asad Nadweh

¹University Of Applied Science, Faculty of Literature and Science, Manama, Bahrain

²Online Islamic University, Department Of Science and Information Technology, Doha, Qatar
Emails: Emails:  Zahraamathscience1243@gmail.com; ramaanadwehh@gmail.com    

Abstract

The ring of weak fuzzy complex numbers is an extension of real numbers ring by using an algebraic element with fuzzy property. In this paper, we present two novel generalizations of weak fuzzy complex numbers, where the concepts of strong fuzzy complex numbers and split-complex weak fuzzy complex numbers will be defined for the first time with a general study of their elementary properties and special elements. On the other hand, we provide an algorithm to compute the dempotent elements in the ring of split-complex weak fuzzy complex numbers with many related examples that clarify the validity of our work.

Keywords: weak fuzzy complex number; strong fuzzy complex number; split-complex weak fuzzy complex number; idempotent element