Generalized Seikkala Differentiability and its Application to Fuzzy initial value problem

2018/12/11 by U. M. Pirzada, Pirzada, U. M.
Decision Sciences · Mathematics · #FOS: Mathematics #Functional Equations Stability Results #Fuzzy Systems and Optimization #General Mathematics (math.GM) #Multi-Criteria Decision Making

paper · pdf · doi:10.48550/arxiv.1812.04963

openalex publication_date 2018/12/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper proposes a new generalized Seikkala derivative (gS-derivative) of a fuzzy-valued function. We see that, there are many elementary fuzzy-valued functions which occur frequently as solution of fuzzy differential equation, are not Seikkala differentiable but they are generalized Seikkala differentiable. We discuss some of the properties of proposed differentiability. Using gS-differentiability, we find the solution of fuzzy initial value problem.

Citations

• Differentials of fuzzy functions

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