Analysis and Application of Extension Correlation and Correspondence under Uncertainty

This paper studies the meaning, nature of extension correspondence and analyzes its superiority in data prediction in extension group decision-making by analyzing the distance and bit value of the correlation function. It puts forward the model and steps of data interval analysis of extension group decision-making based on extension correspondence. Not only does it take the advantages of dynamic classification in extension group decision-making, but also realizes data analysis and interval estimation under uncertainty and helps the promotion of the accuracy and the reliability of multi-factor analysis and multi-project evaluation in extension group decision-making under data uncertainty. Keywords: extension set; extension group decision-making; correlation function; correspondence analysis; uncertainty