Abstract
This paper investigates fuzzy q-symmetric variational problems with natural boundary conditions. Based on the relative distance measure fuzzy arithmetic and horizontal membership functions (HMFs), we propose novel concepts of differentiability and integrability for fuzzy functions on quantum geometric subsets of real numbers. Then, fundamental foundations of q-symmetric calculus of variations based on HMFs are provided. With the help of HMFs and granular q-symmetric differentiability, we derive necessary optimality conditions for fuzzy q-symmetric variational problems that depend on free endpoints. Moreover, sufficient conditions for minimizers of q-symmetric variational problems are obtained. Some numerical examples illustrating the proposed approach are presented.
Recommended Citation
M. Bohner et al., "Generalized Transversality Conditions For Fuzzy Quantum-symmetric Variational Problems Via Granular Approach," Computational and Applied Mathematics, vol. 44, no. 6, article no. 326, Springer, Sep 2025.
The definitive version is available at https://doi.org/10.1007/s40314-025-03283-y
Department(s)
Mathematics and Statistics
Keywords and Phrases
Fuzzy variational problems; Granular differentiability; Horizontal membership functions; Natural boundary conditions; q-symmetric calculus of variations
International Standard Serial Number (ISSN)
1807-0302; 2238-3603
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2025 Springer, All rights reserved.
Publication Date
01 Sep 2025
Comments
University of Science Ho Chi Minh City, Grant WZ/WI-IIT/2/2023