Fuzzy sets and fuzzy logic: theory and applications
Fuzzy sets and fuzzy logic: theory and applications
Graded consequence and some metalogical notions generalized
Fundamenta Informaticae
Fuzzy logic: mathematical tools for approximate reasoning
Fuzzy logic: mathematical tools for approximate reasoning
Fuzzy Sets in Approximate Reasoning and Information Systems
Fuzzy Sets in Approximate Reasoning and Information Systems
An Approach to Handle Partially Sound Rules of Inference
IPMU'94 Selected papers from the 5th International Conference on Processing and Management of Uncertainty in Knowledge-Based Systems, Advances in Intelligent Computing
Position Paper: Toward extended fuzzy logic---A first step
Fuzzy Sets and Systems
Introduction, elimination rules for ¬ and ⊃: a study from graded context
PReMI'11 Proceedings of the 4th international conference on Pattern recognition and machine intelligence
On the rough consistency measures of logic theories and approximate reasoning in rough logic
International Journal of Approximate Reasoning
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In this paper some basic aspects of the theory of graded consequence are reconsidered, based on many results that appeared since the inception of graded consequences in 1986. Relationships of the notion of graded consequence with the notions of consequence in many-valued and fuzzy logics are discussed. Following this, a detailed study is carried out on the necessary conditions that follow from axioms generalizing the rules ''ex falso quodlibet'' and ''reasoning by cases'' added to the basic three axioms of graded consequence of reflexivity, monotonicity and cut inspired from Tarski and Gentzen. Towards the converse direction, in the process of finding non-trivial examples satisfying the five graded consequence axioms some sufficient conditions on the algebraic structures and the set of valuations are obtained. The significance of these conditions holding simultaneously is investigated.