Pythagorean Membership Grades, Complex Numbers, and Decision Making
| Autor: | Ali M. Abbasov, Ronald R. Yager |
|---|---|
| Rok vydání: | 2013 |
| Předmět: |
Multicriteria decision
business.industry Pythagorean theorem Fuzzy logic Theoretical Computer Science Human-Computer Interaction Algebra Operator (computer programming) Negation Artificial Intelligence Set operations Artificial intelligence Geometric mean business Complex number Software Mathematics |
| Zdroj: | International Journal of Intelligent Systems. 28:436-452 |
| ISSN: | 0884-8173 |
| DOI: | 10.1002/int.21584 |
| Popis: | We describe the idea of Pythagorean membership grades and the related idea of Pythagorean fuzzy subsets. We focus on the negation and its relationship to the Pythagorean theorem. We look at the basic set operations for the case of Pythagorean fuzzy subsets. A relationship is shown between Pythagorean membership grades and complex numbers. We specifically show that Pythagorean membership grades are a subclass of complex numbers called Π-i numbers. We investigate operations that are closed under Π-i numbers. We consider the problem of multicriteria decision making with satisfactions expressed as Pythagorean membership grades, Π-i numbers. We look at the use of the geometric mean and ordered weighted geometric operator for aggregating criteria satisfaction. |
| Databáze: | OpenAIRE |
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