Solving fuzzy complex system of linear equations using eigenvalue method

An Algebraic Solution of Dual Fuzzy Complex Linear Systems

“…iii. Furthermore, the arithmetic of fuzzy complex numbers, as described in [23], [24] and [25] is discussed as in Definition 2.3. Definition 2.3 [25] For any two arbitrary fuzzy complex numbers 𝑧̃1 = 𝑥 ̃1 + 𝑖𝑦 ̃1 and 𝑧̃2 = 𝑥 ̃2 + 𝑖𝑦 ̃2 with a complex number 𝑐 = 𝑎 + 𝑖𝑏, 𝛼 − 𝑐𝑢𝑡 of the sum 𝑧̃1 + 𝑧̃2 and the product 𝑐 • 𝑧̃1…”

Introducing hesitant fuzzy equations and determining market equilibrium price

“…Subsequent studies dealt with various techniques for solving fuzzy equations and systems of fuzzy equations. Thus, for instance, the Newton method and some extensions, such as the steepest descent method, and then evolutionary algorithms, neural nets and other iterative methods can be used for this purpose (see, in particular, Abbasbandy and Asady, 2004;Buckley, Feuring and Hayashi, 2002;Amirfakharian, 2012;Noor'ani et al, 2011;Farahani, Nehi and Paripour, 2016;or Babakordi and Firozja, 2020). The most recent research in this area concerns the ranking method for solving dual fuzzy polynomial equations.…”