Pythagorean fuzzification and defuzzification functions
Authors :
V. Jayapriya 1 * and R. Sophia Porchelvi 2
Author Address :
1 Department of Mathematics, Idhaya College for Women, (Affiliated to Bharathidasan University), Kumbakonam, Tamil Nadu, India.
2 Department of Mathematics, A.D.M College For Women, (Affiliated to Bharathidasan University), Nagapattinam, Tamil Nadu, India.
*Corresponding author.
Abstract :
This paper addresses the concept of Pythagorean fuzzification and defuzzification. It is the process of converting crisp quantity into a Pythagorean fuzzy set and Pythagorean fuzzy set into crisp respectively. While various method for the fuzzification and defuzzification of fuzzy sets and Intuitionistic fuzzy sets have been devised no such idea has been found in the case of Pythagorean fuzzy sets. An attempt has been made to introduce various type of Pythagorean fuzzification and defuzzification functions which will be more useful in modeling real world situations in Pythagorean fuzzy environment.
Keywords :
Pythagorean fuzzy set, fuzzification, defuzzification, triangular, trapezoidal and Gaussian functions.
DOI :
Article Info :
Received : January 08, 2021; Accepted : February 09, 2021.
