Applications of Hofstede’s cultural dimensions in 50 countries using TFN-generalized Choquet integrals

Abstract

This paper presents a novel application of the triangular fuzzy number (TFN)-generalized Choquet integral to Hofstede’s cultural dimensions data from 50 countries, introducing a robust methodology for analyzing cultural diversity and its economic implications. A 5-level standard evaluation is proposed as an integrated value indicator, enabling a comprehensive interpretation of Hofstede’s cultural dimensions and their relationships with key economic indicators, including GDP, unemployment rate, and population growth rate. To operationalize this evaluation, an algorithm is developed to quantify cultural dimensions into standardized linguistic symbols based on the 5-level evaluation. This algorithm integrates the TFN-generalized Choquet integral with fuzzy measures and a utility function, facilitating the classification of countries into tendency levels for comparative analysis. The algorithm enhances interpretability by mapping numerical data to intuitive categories, making the findings actionable for policymakers. Through a comparative analysis, the study identifies role model countries exhibiting exemplary development patterns and explores correlations between cultural tendency levels and economic performance. The findings validate three hypotheses linking cultural dimensions to economic outcomes and provide actionable recommendations to enhance economic growth, employment, and population dynamics. This framework equips policymakers with valuable tools for leveraging cultural awareness to drive sustainable economic development.