{"id":"W4403055814","doi":"10.18280/mmep.110923","title":"Application of the Homotopy Analysis Method in Solving Fuzzy Nonlinear Integral Equations for Birthrate","year":2024,"lang":"en","type":"article","venue":"Mathematical Modelling and Engineering Problems","topic":"Iterative Methods for Nonlinear Equations","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Homotopy analysis method; Mathematics; Homotopy perturbation method; Nonlinear system; Fuzzy logic; Homotopy; Applied mathematics; Calculus (dental); Computer science; Pure mathematics; Physics; Artificial intelligence; Medicine","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":[0.0006687081,0.000564411,0.000529895,0.000734804,0.0005527015,0.0006569558,0.0006741517,0.0008808068,0.002508091],"category_scores_gemma":[0.001666691,0.0002340805,0.0009116864,0.0003869407,0.0005679604,0.000974415,0.0008928282,0.001121014,0.0002387916],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0004726931,"about_ca_system_score_gemma":0.0008212614,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.004802785,"about_ca_topic_score_gemma":0.003257522,"domain_scores_codex":[0.9998232,0.0000627336,0.00001275299,0.00003459536,0.00005053325,0.00001629603],"domain_scores_gemma":[0.9996961,0.0001396523,0.00002812086,0.00001654676,0.0001053759,0.00001424843],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00005215977,0.0000610279,0.003139041,0.0004176564,0.0001055893,0.0005270061,0.000720481,0.685447,0.01178686,0.2192653,0.001883603,0.0765943],"study_design_scores_gemma":[0.000004575046,0.00001276463,0.0001443999,0.00001410647,0.000007894409,0.00004433988,0.00005218425,0.9813613,0.0006035578,0.01639194,0.00135393,0.000009115137],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.01133537,0.0004437241,0.9836179,0.0002103544,0.0001008183,0.00002600096,0.0000185035,0.00004583675,0.004201418],"genre_scores_gemma":[0.5346682,0.001617278,0.4474356,0.0001454693,0.0001971679,0.0002742783,0.00009623686,0.0001097135,0.01545613],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.004802785,"threshold_uncertainty_score":0.009549677,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06589701499817502,"score_gpt":0.344358485222965,"score_spread":0.27846147022479,"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."}}