Solvability of fuzzy relational equations and manipulation of fuzzy data
Fuzzy Sets and Systems
Fuzzy sets in approximate reasoning, part 1: inference with possibility distributions
Fuzzy Sets and Systems - Special memorial volume on foundations of fuzzy reasoning
On fuzzy implication operators
Fuzzy Sets and Systems
Algebraic structures in fuzzy logic
Fuzzy Sets and Systems
A new look at fuzzy connectives
Fuzzy Sets and Systems
Combination of rules or their consequences in fuzzy expert systems
Fuzzy Sets and Systems - Special issue on expert decision support systems
Fuzzy Sets and Systems
On two types of stable subconstructs of FTS
Fuzzy Sets and Systems - Special issue on mathematical aspects of fuzzy set theory
The three semantics of fuzzy sets
Fuzzy Sets and Systems - Special issue: fuzzy sets: where do we stand? Where do we go?
On generalized modus ponens with multiple rules and a residuated implication
Fuzzy Sets and Systems - Data bases and approximate reasoning
Propositional calculus under adjointness
Fuzzy Sets and Systems - Possibility theory and fuzzy logic
A general method for constructing left-continuous t-norms
Fuzzy Sets and Systems - Theme: Basic concepts
Associatively tied implications
Fuzzy Sets and Systems - Theme: Basic concepts
A small set of axioms for residuated logic
Information Sciences: an International Journal
Fuzzy relational equations with generalized connectives and their applications
Fuzzy Sets and Systems
Fuzzy modus ponens: A new model suitable for applications in knowledge-based systems
International Journal of Intelligent Systems
On the convex combination of TD and continuous triangular norms
Information Sciences: an International Journal
On the characterizations of fuzzy implications satisfying I(x,y)=I(x,I(x,y))
Information Sciences: an International Journal
A survey on fuzzy relational equations, part I: classification and solvability
Fuzzy Optimization and Decision Making
Implication triples versus adjoint triples
IWANN'11 Proceedings of the 11th international conference on Artificial neural networks conference on Advances in computational intelligence - Volume Part II
A comparative study of adjoint triples
Fuzzy Sets and Systems
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We contribute to the theory of implications and conjunctions related by adjointness, in multiple-valued logics. We suggest their use in Zadeh's compositional rule of inference, to interpret generalized modus ponens inference schemata. We provide new complete characterizations of implications that distinguish left arguments, implications that satisfy the exchange principle, divisible conjunctions, commutative conjunctions, associative conjunctions and triangular norms. We also introduce and characterize pseudo-strict and pseudo-continuous implications and conjunctions, and we explore the close relationship between these two notions.