Many-Valued Logics, Fuzzy Logics and Graded Consequence: A Comparative Appraisal

In this paper a comparative study of many-valued logics, fuzzy logics and the theory of graded consequence has been made focussing on consequence, inconsistency and sorites paradox.

[1]  Merrie Bergmann,et al.  An Introduction to Many-Valued and Fuzzy Logic: Semantics, Algebras, and Derivation Systems , 2008 .

[2]  Michael Tye,et al.  Sorites Paradoxes and the Semantics of Vagueness , 1994 .

[3]  S. Dutta,et al.  Grade in Metalogical Notions: a Comparative Study of Fuzzy Logics , 2014, SOCO 2014.

[4]  Mihir K. Chakraborty,et al.  Graded Consequence: Further Studies , 1995, J. Appl. Non Class. Logics.

[5]  Torsten Schaub,et al.  Inconsistency Tolerance , 2005, Lecture Notes in Computer Science.

[6]  Mihir K. Chakraborty,et al.  Graded Consequence and Some Metalogical Notions Generalized , 1997, Fundam. Informaticae.

[7]  Jan Pavelka,et al.  On Fuzzy Logic I Many-valued rules of inference , 1979, Math. Log. Q..

[8]  Carlos Pelta Resano,et al.  Wide sets, deep many-valuedness and sorites arguments , 2004 .

[9]  Ronald R. Yager,et al.  Advances in Intelligent Computing — IPMU '94 , 1994, Lecture Notes in Computer Science.

[10]  Torsten Schaub,et al.  Introduction to Inconsistency Tolerance , 2005, Inconsistency Tolerance.

[11]  Petr Hájek,et al.  Metamathematics of Fuzzy Logic , 1998, Trends in Logic.

[12]  Giangiacomo Gerla,et al.  Fuzzy Logic: Mathematical Tools for Approximate Reasoning , 2001 .

[13]  D. Edgington Vagueness by degrees , 1997 .

[14]  N. Rescher Many Valued Logic , 1969 .

[15]  J. A. Goguen,et al.  The logic of inexact concepts , 1969, Synthese.

[16]  L. Godo,et al.  On Completeness Results for Predicate Lukasiewicz, Product, Godel and Nilpotent Minimum Logics Expanded with Truth-constants , 2007 .

[17]  Rohit Parikh The Problem of Vague Predicates , 1983 .

[18]  D. J. Shoesmith,et al.  Multiple-Conclusion Logic , 1978 .

[19]  Peter F. Smith,et al.  Vagueness: A Reader , 1999 .

[20]  Mihir K. Chakraborty,et al.  Graded consequence revisited , 2010, Fuzzy Sets Syst..

[21]  Siegfried Gottwald An Approach to Handle Partially Sound Rules of Inference , 1994, IPMU.

[22]  Michael Wooldridge,et al.  Inconsistency tolerance in weighted argument systems , 2009, AAMAS.