A formulation of Noether's theorem for fuzzy problems of the calculus of variations
J. Soolaki, O.S. Fard, R. Almeida, A.H. Borzabadi
TL;DR
This paper extends Noether's theorem to fuzzy calculus of variations, establishing a connection between symmetries and conservation laws in fuzzy systems.
Contribution
It formulates a Noether-like theorem for fuzzy variational problems, building on the fuzzy Euler-Lagrange equation.
Findings
Derived a Noether-like theorem for fuzzy systems
Connected symmetries with conservation laws in fuzzy calculus
Extended classical variational principles to fuzzy context
Abstract
The theory of the calculus of variations for fuzzy systems was recently initiated in [7], with the proof of the fuzzy Euler-Lagrange equation. Using fuzzy Euler-Lagrange equation, we obtain here a Noether-like theorem for fuzzy variational problems.
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Taxonomy
TopicsFuzzy Systems and Optimization · Fuzzy Logic and Control Systems · Multi-Criteria Decision Making