Cloud　computing　is　an　emerging　service　computing　model　centered　on　web　services　and　applications,　which　is　used　to　manage,　schedule,　and　integrate　various　resources　distributed　on　the　network.　The　rapid　development　of　cloud　computing　has　led　to　the　emergence　of　a　wide　variety　of　cloud　services.　In　the　face　of　many　cloud　services,　users　generally　select　high-quality　cloud　services　through　user　evaluations.　However,　the　subjectivity　of　users＇　evaluation　of　services　and　false　user　evaluations　make　later　users　fail　to　select　efficient　services.　To　address　this　problem,　the　authors　take　the　QoS　(quality　of　service)　of　cloud　services　as　the　data　base,　obtain　the　subjective　weights　of　cloud　services　by　AHP　hierarchical　analysis,　obtain　the　objective　weights　of　cloud　services　by　entropy　weighting　method,　and　obtain　the　recommendation　degree　of　each　service　by　weighting,　and　obtain　the　trustworthiness　of　cloud　services　by　TOPSIS　decision　method　at　the　same　time,　and　finally　propose　to　construct　a　cloud　service　trustworthiness　metric　model.　This　model　reduces　the　influence　of　subjectivity　of　user　evaluation　on　the　trustworthiness　assessment　of　cloud　services　by　providing　an　objective　and　effective　trustworthiness　measure　for　cloud　services.　In　this　paper,　the　research　focuses　on　processing　QoS　data,　classifying　the　metrics,　and　using　the　entropy　weight　method　to　obtain　the　objective　weights　of　the　corresponding　metrics　of　cloud　services.　©　2023　SPIE.