Affiliations: The Institute of Mathematical Sciences, Chennai, India. [email protected] | School of Cognitive Science, Jadavpur University, Centre for Soft Computing and Research, Indian Statistical Institute, Kolkata, India. [email protected]
Note: [] Authors would like to thank the anonymous referees for their valuable comments. Address for correspondence: The Institute of Mathematical Sciences, Room L 12, CIT Campus, Taramani, Chennai 600113.
Note: [] Authors would like to thank the anonymous referees for their valuable comments.
Abstract: Fuzzy Logic a la Pavelka has been reintroduced here in terms of consequence relation instead of consequence operator. Metalogical notions like, consistency and inconsistency are proposed as graded notions. The relationship between consequence relation and inconsistency, both fuzzy here, is studied. Another metalogical notion viz., equivalence of two sets of formulae that originates from Tarski is defined and investigated in this context when the premise is a fuzzy set.
Keywords: Fuzzy set of premises, Consequence operator, Graded consequence relation
