Optimum Approximation for ς –Lie Homomorphisms and Jordan ς –Lie Homomorphisms in ς –Lie Algebras by Aggregation Control Functions

Zahra Eidinejad, Reza Saadati and Radko Mesiar
Additional contact information
Zahra Eidinejad: School of Mathematics, Iran University of Science and Technology, Narmak, Tehran 13114-16846, Iran
Reza Saadati: School of Mathematics, Iran University of Science and Technology, Narmak, 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

Mathematics, 2022, vol. 10, issue 10, 1-17

Abstract: In this work, by considering a class of matrix valued fuzzy controllers and using a ( κ , ς ) -Cauchy–Jensen additive functional equation ( ( κ , ς ) -CJAFE), we apply the Radu–Mihet method (RMM), which is derived from an alternative fixed point theorem, and obtain the existence of a unique solution and the H–U–R stability (Hyers–Ulam–Rassias) for the homomorphisms and Jordan homomorphisms on Lie matrix valued fuzzy algebras with ς members ( ς -LMVFA). With regards to each theorem, we consider the aggregation function as a matrix value fuzzy control function and investigate the results obtained.

Keywords: (?,?)-CJAFE; H–U–R stability; homomorphisms; Jordan homomorphisms; ?-LMVFA; aggregation functions; Radu–Mihet method (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/10/10/1704/pdf (application/pdf)
https://www.mdpi.com/2227-7390/10/10/1704/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:10:y:2022:i:10:p:1704-:d:816651

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().