For the newly designed pair ofq-Fuzzy sum operators andq-Fuzzy product operators， it is proved that they meet the conditions of T triangular modulus and S triangular modulus

and then a k-fuzzy measure is defined

and q-Fuzzy and probability integral are defined under the k-fuzzy Measure space; finally

q-Fuzzy and probability integral are applied to the performance optimization of medical helmets; the optimal sequence diagram method and improved anti-entropy weight method are used to calculate the weights in the process of optimizing the performance of medical helmets. Subsequently

fuzzy probability integrals combined with the principle of maximum probability are used to evaluate the performance optimization state of the medical helmet

and rank the evaluation results. Finally

the results obtained by fuzzy probability value are compared with the result obtained by the fuzzy comprehensive evaluation method

and the results are completely consistent. This validates the proposed q-Fuzzy and the probability integral method are more refined and accurate

overcoming the fuzziness and identification of the fuzzy comprehensive evaluation results.