Granular F-transform and its application
Abha Tripathi, S. P. Tiwari, J. Kavikumar
TL;DR
This paper introduces the granular F-transform, explores its properties using fuzzy number theory, and applies it to solve a fuzzy prey-predator model, analyzing equilibrium and stability.
Contribution
It presents the novel concept of granular F-transform and demonstrates its application to fuzzy differential equations in ecological modeling.
Findings
Properties of granular F-transform established
Numerical method for fuzzy prey-predator model developed
Existence and stability of equilibrium points analyzed
Abstract
This contribution introduces the concept of granular F-transform and investigates its basic properties by using the theory of fuzzy numbers and horizontal membership functions. Further, we present a numerical method based on granular F-transform to solve a fuzzy prey-predator model consisting of two prey and one predator due to its natural variability and investigate the existence of the equilibrium points and their stability
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Taxonomy
TopicsRough Sets and Fuzzy Logic · Fuzzy Logic and Control Systems · Polynomial and algebraic computation