Generalized Seikkala Derivatives and their application for solving Fuzzy Wave Equation
U. M. Pirzada, Raju K. George
TL;DR
This paper introduces generalized Seikkala derivatives for fuzzy-valued functions and applies them to solve the fuzzy wave equation, expressing solutions via Fourier series.
Contribution
It develops a new class of derivatives for fuzzy functions and demonstrates their application in solving fuzzy wave equations.
Findings
Solution expressed in Fourier series form
New generalized derivatives for fuzzy functions
Application to fuzzy wave equation
Abstract
This paper presents the new generalized Seikkala derivatives (gS- derivatives) of fuzzy-valued functions. The solution of fuzzy wave equation is proposed and analyzed using gS-derivatives whose crisp solution is expressed in terms of Fourier series.
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Taxonomy
TopicsFuzzy Systems and Optimization · Multi-Criteria Decision Making · Optimization and Mathematical Programming