Open AccessA New Technique for solving Picture Fuzzy Differential Equation
Author(s) -
J. Dhivya,
K. Meena,
M.N. Saroja
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/2070/1/012021
Subject(s) - fuzzy number , mathematics , fuzzy logic , defuzzification , ordinary differential equation , fuzzy set , fuzzy classification , fuzzy set operations , fuzzy mathematics , set (abstract data type) , differential equation , mathematical optimization , computer science , mathematical analysis , artificial intelligence , programming language
Picture Fuzzy set (PFS) is an extension of fuzzy set (FS) and intuitionistic fuzzy set (IFS) that can model the uncertainty by integrating the concept of positive, negative and neutral membership degree of an element. In this paper, the solution of Picture Fuzzy ordinary differential equation of first order by means of picture fuzzy number is exemplified and intend to define the picture fuzzy number for ( ∝, δ, β )-cut. Finally, we illustrate the numerical example for drug distribution in human body for different drug levels is discussed for determining its effectiveness and practicality of the first order differential equation involving picture fuzzy numbers.