Pearson correlation and ordered weighted average operator in the world stock exchange market

The stock market is of great importance for the financial development of a country due to the large volume of transactions therein. Analyzing the correlation between indices in the world helps us figure out which variables are most impactful. This paper proposes the use of ordered weighted average (OWA) operators in combination with the Pearson coefficient to create a measure of correlation that can analyze a wide range of possible scenarios that go from minimum to maximum. The new frameworks can add additional information to the process of correlation. The work presents an application in ten of the largest stock exchanges in the world. The results suggest a broad positive correlation that is reinforced in times of instability.