Pythagorean fuzzification and defuzzification functions

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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

Mathematics Subject Classification:

Mathematics
  • V. Jayapriya Department of Mathematics, Idhaya College for Women, (Affiliated to Bharathidasan University), Kumbakonam, Tamil Nadu, India.
  • R. Sophia Porchelvi Department of Mathematics, A.D.M College For Women, (Affiliated to Bharathidasan University), Nagapattinam, Tamil Nadu, India.
  • Pages: 286-290
  • Date Published: 01-01-2021
  • Vol. 9 No. 01 (2021): Malaya Journal of Matematik (MJM)

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Published

01-01-2021

How to Cite

V. Jayapriya, and R. Sophia Porchelvi. “Pythagorean Fuzzification and Defuzzification Functions”. Malaya Journal of Matematik, vol. 9, no. 01, Jan. 2021, pp. 286-90, https://www.malayajournal.org/index.php/mjm/article/view/1017.