LEADER 02723nam 22004815 450 001 9910350208103321 005 20200701044223.0 010 $a981-13-8896-2 024 7 $a10.1007/978-981-13-8896-5 035 $a(CKB)4100000008876940 035 $a(MiAaPQ)EBC5837790 035 $a(DE-He213)978-981-13-8896-5 035 $a(EXLCZ)994100000008876940 100 $a20190722d2019 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aTheory of Graded Consequence $eA General Framework for Logics of Uncertainty /$fby Mihir Kumar Chakraborty, Soma Dutta 205 $a1st ed. 2019. 210 1$aSingapore :$cSpringer Singapore :$cImprint: Springer,$d2019. 215 $a1 online resource (235 pages) 225 1 $aLogic in Asia: Studia Logica Library,$x2364-4613 311 $a981-13-8894-6 327 $aIntroduction -- Basics of GCT -- Incorporating Negation in object language -- Proof theory for graded consequence -- Relationship with some other consequence operators and relations -- Suggested applications. 330 $aThis book introduces the theory of graded consequence (GCT) and its mathematical formulation. It also compares the notion of graded consequence with other notions of consequence in fuzzy logics, and discusses possible applications of the theory in approximate reasoning and decision-support systems. One of the main points where this book emphasizes on is that GCT maintains the distinction between the three different levels of languages of a logic, namely object language, metalanguage and metametalanguage, and thus avoids the problem of violation of the principle of use and mention; it also shows, gathering evidences from existing fuzzy logics, that the problem of category mistake may arise as a result of not maintaining distinction between levels. 410 0$aLogic in Asia: Studia Logica Library,$x2364-4613 606 $aLogic 606 $aLogic, Symbolic and mathematical 606 $aLogic$3https://scigraph.springernature.com/ontologies/product-market-codes/E16000 606 $aMathematical Logic and Foundations$3https://scigraph.springernature.com/ontologies/product-market-codes/M24005 615 0$aLogic. 615 0$aLogic, Symbolic and mathematical. 615 14$aLogic. 615 24$aMathematical Logic and Foundations. 676 $a511.3 700 $aChakraborty$b Mihir Kumar$4aut$4http://id.loc.gov/vocabulary/relators/aut$0851359 702 $aDutta$b Soma$4aut$4http://id.loc.gov/vocabulary/relators/aut 906 $aBOOK 912 $a9910350208103321 996 $aTheory of Graded Consequence$92261647 997 $aUNINA