A personal subjective sense,multi-attribute group decision problem with unknown at-tribute values of the decision scheme and an interval-valued Pythagorean hesitant fuzzy set exists for decision maker weights.The author proposes a parameterized interval-valued Pythagorean hesitant fuzzy entropy,based on the combined consideration of affiliation,disaffiliation,and hesitation,add the degree of risk appetite of the decision maker,and proves that it satis-fies the basic properties of algebraic operations,extending the bidirectional projection method to an interval-valued Pythagorean hesitant fuzzy set.Proposed is a multi-attribute decision method for solving interval-valued Pythagorean hesitant fuzzy sets.Applying the pessimistic criterion to the expert decision matrix is the initial step.The closeness matrix is obtained by employing the vectors of alternative solutions to positive and negative ideal solutions as vectors for bidirectional projection.Second,the proposed parameterized inter-value Pythagorean hesitant fuzzy entropy is used to derive the attribute weights.The alter-native ranking is ordered to weight the closeness matrix and the attrib-ute weights.The method is able to take into account the decision maker's attitude in an environment where the attrib-ute weights are unknown,allowing the decision maker to make decisions based on their degree of risk preference.Lastly,the effect of parameter changes in entropy on decision outcomes is demonstrated by example and discussed.The validity of the decision-making method is confirmed in comparison to other methods.
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