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· 2013

Pythagorean fuzzy subsets

Ronald R. Yager

Short summary

Introduces Pythagorean fuzzy subsets, a novel type of fuzzy subset, characterized by Pythagorean membership grades and a negation operation linked to the Pythagorean theorem.

AI-generated from the title and abstract; the full text is not read.

Key points

  • Introduces Pythagorean fuzzy subsets as a new class of fuzzy subsets.
  • Defines Pythagorean membership grades and their relation to the Pythagorean theorem.
  • Compares Pythagorean fuzzy subsets with intuitionistic fuzzy subsets.
  • Examines basic set operations for Pythagorean fuzzy subsets.

AI-generated from the title and abstract; the full text is not read.

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.

The authors' abstract, as published at the source., 2013 · DOI ↗

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Field: Management Science and Operations Research

Management Science and Operations ResearchDecision Sciences