Applications of Special Functions to Approximate Stochastic Bi-Homomorphisms and Stochastic Bi-Derivations in FB-Algebras and FC-⋄-Algebras of the Matrix Type

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 associ...

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Main Authors: Zahra Eidinejad, Reza Saadati, Radko Mesiar, Pandora Raja
Format: Article
Language:English
Published: MDPI AG 2023-03-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/11/6/1329
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author Zahra Eidinejad
Reza Saadati
Radko Mesiar
Pandora Raja
author_facet Zahra Eidinejad
Reza Saadati
Radko Mesiar
Pandora Raja
author_sort Zahra Eidinejad
collection DOAJ
description 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.
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spelling doaj.art-b8f52a46066e4a76b27caba4774b49922023-11-17T12:27:05ZengMDPI AGMathematics2227-73902023-03-01116132910.3390/math11061329Applications of Special Functions to Approximate Stochastic Bi-Homomorphisms and Stochastic Bi-Derivations in FB-Algebras and FC-⋄-Algebras of the Matrix TypeZahra Eidinejad0Reza Saadati1Radko Mesiar2Pandora Raja3School of Mathematics, Iran University of Science and Technology, Tehran 13114-16846, IranSchool of Mathematics, Iran University of Science and Technology, Tehran 13114-16846, IranDepartment of Mathematics, Faculty of Civil Engineering, Slovak University of Technology in Bratislava, Radlinského 11, 810 05 Bratislava, SlovakiaDepartment of Mathematics, Faculty of Mathematical Sciences, Shahid Beheshti University, Tehran 19839-69411, IranWe 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.https://www.mdpi.com/2227-7390/11/6/1329stochastic bi-derivationC-⋄-algebrasstochastic bi-homomorphismFB-algebraoptimal stabilityfuzzy inequality
spellingShingle Zahra Eidinejad
Reza Saadati
Radko Mesiar
Pandora Raja
Applications of Special Functions to Approximate Stochastic Bi-Homomorphisms and Stochastic Bi-Derivations in FB-Algebras and FC-⋄-Algebras of the Matrix Type
Mathematics
stochastic bi-derivation
C-⋄-algebras
stochastic bi-homomorphism
FB-algebra
optimal stability
fuzzy inequality
title Applications of Special Functions to Approximate Stochastic Bi-Homomorphisms and Stochastic Bi-Derivations in FB-Algebras and FC-⋄-Algebras of the Matrix Type
title_full Applications of Special Functions to Approximate Stochastic Bi-Homomorphisms and Stochastic Bi-Derivations in FB-Algebras and FC-⋄-Algebras of the Matrix Type
title_fullStr Applications of Special Functions to Approximate Stochastic Bi-Homomorphisms and Stochastic Bi-Derivations in FB-Algebras and FC-⋄-Algebras of the Matrix Type
title_full_unstemmed Applications of Special Functions to Approximate Stochastic Bi-Homomorphisms and Stochastic Bi-Derivations in FB-Algebras and FC-⋄-Algebras of the Matrix Type
title_short Applications of Special Functions to Approximate Stochastic Bi-Homomorphisms and Stochastic Bi-Derivations in FB-Algebras and FC-⋄-Algebras of the Matrix Type
title_sort applications of special functions to approximate stochastic bi homomorphisms and stochastic bi derivations in fb algebras and fc ⋄ algebras of the matrix type
topic stochastic bi-derivation
C-⋄-algebras
stochastic bi-homomorphism
FB-algebra
optimal stability
fuzzy inequality
url https://www.mdpi.com/2227-7390/11/6/1329
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