First Order Homogeneous Fuzzy Differential Equation with Pentagonal Fuzzy Number as Initial value

DNYANESHWAR BAWANE; Lemraj Ladke

doi:10.26713/cma.v17i3.3649

Authors

DNYANESHWAR BAWANE Yeshwantrao Chavan College Of Engineering, Nagpur https://orcid.org/0009-0009-2446-0240
Lemraj Ladke Department of Mathematics, Nilkanthrao Shinde Science & Arts College, Bhandravati, Maharashtra, India

DOI:

https://doi.org/10.26713/cma.v17i3.3649

Keywords:

Fuzzy Differential Equation, Fuzzy number, Interval arithmetic, Support of Fuzzy set, Core of Fuzzy set

Abstract

In this research, we pronounce a standard Pentagonal Fuzzy Number and evaluate a general solution of Homogeneous Linear Fuzzy Differential Equation of First Order under the standard Pentagonal Fuzzy Number (PFN) taken as initial condition. Here, we applied method closed interval arithmetic performed on α-cuts to obtain its solution. For four passible types of α-cuts of Pentagonal Fuzzy Number a solution of Differential Equation under fuzzy constraints is being proposed here.

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