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 () and Pandora Raja
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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

Mathematics, 2023, vol. 11, issue 6, 1-21

Abstract: 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.

Keywords: stochastic bi-derivation; C-?-algebras; stochastic bi-homomorphism; FB-algebra; optimal stability; fuzzy inequality (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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