{"id":"W4415246394","doi":"10.28924/2291-8639-23-2025-249","title":"On \\(\\theta(\\tau_1,\\tau_2)p\\)-Open Functions and \\(\\theta(\\tau_1,\\tau_2)p\\)-Closed Functions","year":2025,"lang":"en","type":"article","venue":"International Journal of Analysis and Applications","topic":"Fuzzy and Soft Set Theory","field":"Decision Sciences","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Mahasarakham University","keywords":"Complex-valued function; Partial function; Function (biology); Algebra over a field; Analytic function; Addition theorem","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":[0.003916036,0.001029186,0.0008405946,0.003191102,0.001615088,0.003766657,0.000820932,0.00141564,0.003006602],"category_scores_gemma":[0.009132698,0.0003779226,0.001210618,0.002525893,0.007796031,0.0117807,0.003130592,0.003489405,0.0006929917],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0013445,"about_ca_system_score_gemma":0.0006882492,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005888183,"about_ca_topic_score_gemma":0.0002353401,"domain_scores_codex":[0.9977372,0.0006361892,0.0001639909,0.0005284566,0.0006140044,0.0003202089],"domain_scores_gemma":[0.9915605,0.005510899,0.0007713583,0.000437772,0.001127826,0.0005915958],"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":[0.00006981491,0.00003171548,0.0004562057,0.0001021137,0.00001166182,0.000168605,0.0007021162,0.001115023,0.001656247,0.978255,0.0004563277,0.01697508],"study_design_scores_gemma":[0.00002094186,0.0001272927,0.001086136,0.0001488716,0.00002904286,0.0004627232,0.0006437525,0.01309462,0.002086108,0.9715834,0.01066899,0.00004821424],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2390546,0.00688954,0.6649905,0.002013283,0.000391802,0.0001096966,0.0003132295,0.0001279362,0.08610944],"genre_scores_gemma":[0.8663403,0.007051055,0.1095943,0.0007169514,0.001194733,0.0004310918,0.0003917626,0.0001423863,0.01413738],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.003916036,"threshold_uncertainty_score":0.02071023,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03598220450719685,"score_gpt":0.396064476157557,"score_spread":0.3600822716503602,"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."}}