Applications of Special Functions to Approximate Stochastic Bi-Homomorphisms and Stochastic Bi-Derivations in FB-Algebras and FC-⋄-Algebras of the Matrix Type
Zahra Eidinejad,
Reza Saadati,
Radko Mesiar,
Pandora Raja
Affiliations
Zahra Eidinejad
School of Mathematics, Iran University of Science and Technology, Tehran 13114-16846, Iran
Reza Saadati
School of Mathematics, Iran University of Science and Technology, Tehran 13114-16846, Iran
Radko Mesiar
Department of Mathematics, Faculty of Civil Engineering, Slovak University of Technology in Bratislava, Radlinského 11, 810 05 Bratislava, Slovakia
Pandora Raja
Department of Mathematics, Faculty of Mathematical Sciences, Shahid Beheshti University, Tehran 19839-69411, Iran
We apply special functions and use the concept of the aggregation function to introduce a new class of fuzzy control functions, and based on this, we obtain the best approximation for the stochastic bi-homomorphisms and stochastic bi-derivations in FB-algebras and FC-⋄-algebras of matrix type associated with the bi-additive random operator inequality.