An intuitionistic fuzzy differential equation approach for the lake water and sediment phosphorus model

Abstract

Intuitionistic fuzzy sets cannot consider the degree of indeterminacy (i.e., the degree of hesitation). This study presents an intuitionistic fuzzy differential equation approach for the lake water and sediment phosphorus model. We examine the proposed model by assuming generalized trapezoidal intuitionistic fuzzy numbers for the initial condition. Feasible equilibrium points, along with their stability criteria, are evaluated. We describe the characteristics of intuitionistic fuzzy solutions and clarify the difference between strong and weak intuitionistic fuzzy solutions. Numerical simulations are performed in MATLAB to validate the model results.

Keywords

• Intuitionistic fuzzy differential equation
• Phosphorus model in lake water and sediment
• Generalized Hukuhara derivative
• Fuzzy valued function
• Trapezoidal intuitionistic fuzzy number