Abstract: In this article the continuous ordered weighted average COWAoperator is introduced into the interval Pythagorean fuzzy environment, and a continuous cross entropy measure of interval Pythagorean fuzzy is defined. The continuous cross entropy of interval Pythagoras fuzzy is used to determine the attribute weight, and a programming model with maximum criterion of interval Pythagoras fuzzy continuous cross entropy is established under the condition that the information of attribute weight is not completely determined. Based on the weighted correlation coefficient of the interval Pythagorean fuzzy set, the interval Pythagorean fuzzy multi-attribute decision algorithm is presented, and the sensitivity of attitude parameters is analyzed. Finally, an example is given to illustrate the rationality and effectiveness of the proposed decision-making method.

Key words: interval value Pythagoras fuzzy set, continuous cross entropy, COWA, weighted correlation coefficient