{"type":"ScholarlyArticle","title":"A Measure of Closeness of Weak Implication to Strict Implication","authors":[{"name":"Masanori B. Okamoto","slug":"masanori-b-okamoto","given":"Masanori B.","family":"Okamoto","affiliation":"Faculty of Economics Hiroshima University Higashisenda-machi Hiroshima City 730 , Japan"}],"abstract":"The concept of weak implication introduced by R.Boudon is relevant to approximate reasoning which is a subject of the study in AI. The weak implication can be interpreted by the fuzzy material implication which is a binary fuzzy relation. A measure of closeness of weak implication to strict implication is defined as the maximum of distances within the given fuzzy relation,but constructed in the 2x2 contigency table. This measure agrees with the absolute value of Boudon's index f of closeness of weak implication to strict implication under some conditions.","doi":null,"url":"https://ijcai.org/proceedings/1979/153","pdf":"https://ijcai.org/proceedings/1979/0153.pdf","markdown":"https://ijcai.org/proceedings/1979/153.md","bibtex":"https://ijcai.org/proceedings/1979/bibtex/153","volume":{"slug":"1979","title":"Proceedings of the Sixth International Joint Conference on Artificial Intelligence","short_title":"IJCAI 1979","url":"https://ijcai.org/proceedings/1979/","year":1979,"location":"Tokyo, Japan","dates":"August 20-23, 1979","editors":"Bruce G. Buchanan","isbn":"","publisher":"International Joint Conferences on Artificial Intelligence","doi_prefix":""},"section":null,"track":"","number":153,"pages":{"first":null,"last":null},"keywords":[],"videos":[],"references":[{"position":1,"raw":"Boudon,R. \"Les Math~matiques en So- ciologie.Press Univ.de France,Paris,l971","title":"Les Math~matiques en Sociologie","authors":"R Boudon","year":null,"venue":null,"doi":null,"url":null,"internal_url":null},{"position":2,"raw":"Davis,R.,Buchana~B.& Shortliffe,E. 'Production Rules as a Representation for a Knowledge-Based Consultation Pro- gram.\" Artif. Intel!. 8:1 (1977) 15-45.","title":"Production Rules as a Representation for a Knowledge-Based Consultation Program","authors":"R Davis, Buchana~b, E Shortliffe","year":"1977","venue":"Artif. Intel!","doi":null,"url":null,"internal_url":null},{"position":3,"raw":"Hirota,K.& Iijima,T. \"Logical Basis in Probabilistic Set Theory.\" Trans. IECE. 62:D-2 (1979) 73-80.","title":"Logical Basis in Probabilistic Set Theory","authors":"K Hirota, T Iijima","year":"1979","venue":"Trans. IECE","doi":null,"url":null,"internal_url":null},{"position":4,"raw":"Zadeh,L.A. \"The Concept of a Lingui- stic Variable and its Application to Ap- proxim~te Resoning-I.\" _Inform.Sci. 8:3 (1975) 199-249.","title":"The Concept of a Linguistic Variable and its Application to Ap-proxim~te Resoning-I","authors":"L A Zadeh","year":"1975","venue":"_Inform.Sci","doi":null,"url":null,"internal_url":null},{"position":5,"raw":"Zadeh,L.A. \"ibid-II\" Inform.Sci.8:4 (1975) 301-357.","title":"ibid-II","authors":"L A Zadeh","year":"1975","venue":"Inform.Sci","doi":null,"url":null,"internal_url":null},{"position":6,"raw":"Zadeh ,L.A. \"ibid-III\" Inform. Sci. 9:1 (1975) 43-80.","title":"ibid-III","authors":"L A Zadeh","year":"1975","venue":"Inform. Sci","doi":null,"url":null,"internal_url":null},{"position":7,"raw":"Zetterberg,H. \"On the Theory and Ve- rification in Sociology. \"3rd ed .. Bedmin- ster Press,New Jersey,l966.","title":"On the Theory and Verification in Sociology","authors":"H Zetterberg","year":null,"venue":null,"doi":null,"url":null,"internal_url":null},{"position":8,"raw":"Watanabe,S. \"Fuzzification and Inv- ariance.\" ~ ICCS-78,]..Japan,947-95l.","title":"Fuzzification and Invariance","authors":"S Watanabe","year":null,"venue":"ICCS-78","doi":null,"url":null,"internal_url":null}],"license_note":"Copyright International Joint Conferences on Artificial Intelligence."}