Title :
Pythagorean fuzzy subsets
Author :
Yager, Ronald R.
Author_Institution :
Machine Intell. Inst., Iona Coll., New Rochelle, NY, USA
Abstract :
We introduce a new class of non-standard fuzzy subsets called Pythagorean fuzzy subsets and the related idea of Pythagorean membership grades. We focus on the negation operation and its relationship to the Pythagorean theorem. We compare Pythagorean fuzzy subsets with intuitionistic fuzzy subsets. We look at the basic set operations for the Pythagorean fuzzy subsets.
Keywords :
fuzzy set theory; Pythagorean fuzzy subsets; Pythagorean membership grades; Pythagorean theorem; basic set operations; intuitionistic fuzzy subsets; negation operation; nonstandard fuzzy subsets; Boundary conditions; Decision making; Educational institutions; Fuzzy sets; Machine intelligence; Silicon compounds; Uncertainty;
Conference_Titel :
IFSA World Congress and NAFIPS Annual Meeting (IFSA/NAFIPS), 2013 Joint
Conference_Location :
Edmonton, AB
DOI :
10.1109/IFSA-NAFIPS.2013.6608375
