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Record type:	stať ve sborníku (D)
Home Department:	Katedra matematiky (31100)
Title:	A Fuzzy q-Symmetric Variational Problem via Granular Differentiability Approach
Citace	TRUONG VAN, T., Nguyen, L. T. N. L. a Schneider, B. A Fuzzy q-Symmetric Variational Problem via Granular Differentiability Approach. In: ICMA2SC"2022: International Conference on Mathematical Analysis and Applications in Science and Engineering. Book of Extended Abstracts 2022-06-27 Porto, Portugal. Porto, Portugal: ISEP \| P. Porto, 2022. s. 333-336. ISBN 978-989-53496-3-0.

Subtitle
Publication year:	2022
Obor:	Obecná matematika
Number of pages:	4
Page from:	333
Page to:	336
Form of publication:	Elektronická verze
ISBN code:	978-989-53496-3-0
ISSN code:
Proceedings title:	International Conference on Mathematical Analysis and Applications in Science and Engineering. Book of Extended Abstracts.
Proceedings:	Mezinárodní
Publisher name:	ISEP \| P. Porto
Place of publishing:	Porto, Portugal
Country of Publication:	Sborník vydaný v zahraničí
Název konference:	ICMA2SC"2022
Místo konání konference:	Porto, Portugal
Datum zahájení konference:
Typ akce podle státní příslušnosti účastníků:	Celosvětová akce
WoS code:
EID:

Key words in English:	horizontal membership functions; granular differentiability; fuzzy variational problems; q-symmetric calculus of variations.
Annotation in original language:	We investigate in this paper a fuzzy q-symmetric variational problem. Based on the relative distance measure fuzzy arithmetic (RDM-FA) and horizontal membership functions (HMFs), we first propose the new concepts of granular q-symmetric differentiability and integrability for fuzzy-valued functions. Then, fundamental foundations of q-symmetric calculus of variations based on HMFs are provided. With the help of HMFs and the granular q-symmetric differentiability, we derive the necessary optimality condition for the fuzzy q-symmetric variational problem. Finally, some numerical examples to illustrate the proposed approach are presented.
Annotation in english language:	We investigate in this paper a fuzzy q-symmetric variational problem. Based on the relative distance measure fuzzy arithmetic (RDM-FA) and horizontal membership functions (HMFs), we first propose the new concepts of granular q-symmetric di↵erentiability and integrability for fuzzy-valued functions. Then, fundamental foundations of q-symmetric calculus of variations based on HMFs are provided. With the help of HMFs and the granular q-symmetric di↵erentiability, we derive the necessary optimality condition for the fuzzy q- symmetric variational problem. Finally, some numerical examples to illustrate the proposed approach are presented.

References

Reference

R01:	RIV/61988987:17310/22:A2402G15

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