The paper studies the probabilistic hesitant fuzzy multi-attribute group decision-making(MAGDM) problem under the condition that the attribute weights are known and the expert weights are unknown. Firstly, to overcome the shortcomings of traditional distance measures of the probabilistic hesitant fuzzy elements(PHFEs), improved new distance measures of PHFEs are proposed, whose validity and rationality are mathematically proved. Secondly, under the premise that attribute weights are known, the first aggregation of the probabilistic hesitant fuzzy information, from the perspective of a single expert, is realized through weighted arithmetic averaging(WAA). Thirdly, based on the criteria of maximizing score deviation (MSD), a mathematical model of solving the expert weights is constructed and an analytical solution is further derived, Then, based on the TODIM method, a probabilistic hesitant fuzzy MAGDM method is developed to realize the second aggregation of the probabilistic hesitant fuzzy information, from the perspective of a group of experts. Finally, by taking the fuzzy optimization of army force's combat plans under the condition of information-based warfare as an example, the feasibility and effectiveness of the proposed interactive MAGDM method are verified.