Abstract

The ranking method can distinguish the size of intuitionistic fuzzy numbers and Pythagorean fuzzy numbers, and plays an important role in the application of intuitionistic fuzzy sets and Pythagorean fuzzy sets. Based on the summary of classic ranking methods, this paper proposes some new ranking methods. Firstly, some basic concepts of intuitionistic fuzzy set and Pythagorean fuzzy set are introduced. Secondly, four existing ranking methods of intuitionistic fuzzy numbers and four existing ranking methods of Pythagorean fuzzy numbers are summarized. Then, the new ranking methods of intuitionistic fuzzy numbers and Pythagorean fuzzy numbers are proposed respectively. Finally, the accuracy and reliability of the new ranking methods are verified by case analysis.

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