{"id":"W4406824205","doi":"10.18280/mmep.120122","title":"Legendre Operational Differential Matrix for Solving Fuzzy Differential Equations","year":2025,"lang":"en","type":"article","venue":"Mathematical Modelling and Engineering Problems","topic":"Matrix Theory and Algorithms","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"","keywords":"Legendre polynomials; Matrix (chemical analysis); Differential (mechanical device); Mathematics; Fuzzy logic; Differential equation; Applied mathematics; Mathematical analysis; Computer science; Physics; Artificial intelligence; Materials science","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008457417,0.0006357109,0.0006652898,0.0007710133,0.000378596,0.000996032,0.0008810359,0.000810981,0.00253587],"category_scores_gemma":[0.002420194,0.0002167217,0.0005546482,0.001010279,0.000820821,0.00114239,0.0007472439,0.001621504,0.0005305381],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005198932,"about_ca_system_score_gemma":0.000756652,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002138075,"about_ca_topic_score_gemma":0.001907259,"domain_scores_codex":[0.9997063,0.0001163566,0.00001899969,0.00003676286,0.0001020162,0.00001957448],"domain_scores_gemma":[0.9994326,0.0002513172,0.00004045126,0.00004738377,0.0001882054,0.00003993445],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00004109844,0.000043172,0.0002085464,0.00021273,0.00003994669,0.0000904298,0.0002225569,0.1066582,0.01053438,0.8082325,0.002655953,0.07106049],"study_design_scores_gemma":[0.000007162582,0.00003433266,0.000106902,0.00002098005,0.00001402268,0.00006619201,0.00004400516,0.8330765,0.001827298,0.1593152,0.005464485,0.0000228839],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.004033535,0.0004531631,0.9928536,0.0001251058,0.0001429525,0.00001451879,0.00002087901,0.00004728593,0.002308989],"genre_scores_gemma":[0.3591162,0.002044867,0.6240256,0.0002649423,0.0003360625,0.0001550495,0.0001390537,0.0001405944,0.0137776],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.00253587,"threshold_uncertainty_score":0.00848335,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01959118779284146,"score_gpt":0.2407644381456252,"score_spread":0.2211732503527837,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}