Pythagorean theorem

Mathematical optimization

Mathematical analysis

Artificial intelligence

Set (abstract data type)

Programming language

Geometry

Mathematics

Logarithm

Computer science

Fuzzy set

Base (topology)

Fuzzy logic

Selection (genetic algorithm)

International Journal of Intelligent Systems

The aim of this paper is to develop some new logarithm operational laws (LOL) with real number base for the Pythagorean fuzzy sets. Some properties of LOL have been studied and based on these, various weighted averaging and geometric operators have been developed. Then, we utilized it to solve the decision-making problems. The validity of the proposed method is demonstrated with a numerical example and compared the results with the several existing approaches result. Finally, the influences of logarithmic operation and the selection of the logarithmic base in practice are discussed.

New logarithmic operational laws and their aggregation operators for Pythagorean fuzzy set and their applications