Fuzzy Soham transforms and its applications

Abstract

This paper presents the fuzzy Soham transforms. Proved are properties and associated theorems. The process of this fuzzy translation in differential equations is demonstrated using real-world examples. This work shows how second-order fuzzy differential equations with constant coefficients under generalized Hukuhara differentiability may be solved using this interesting fuzzy transformation. Additionally, significant theorems are presented to elucidate the properties of the fuzzy Soham transform, and two real-world examples are used to validate the suggested methodology.