Fuzzy implication functions have emerged as integral components in the field of fuzzy logic, extending the classical concept of implication into a framework that can manage partial truths. These ...

Abstract: Logical inference starts with concluding that if B implies A, and B is true, then A is true as well. To describe probabilistic inference rules, we must therefore define the probability of an ...

The Association for Symbolic Logic is an international organization supporting research and critical studies in logic. Its primary function is to provide an effective forum for the presentation, ...

We introduce the extended fuzzy chaining syllogism, and investigate it with three important classes of fuzzy implications against the validity of their deduction scheme in fuzzy logic. We show that ...

Logic is an ancient discipline that has undergone striking modern developments through the introduction of rigorous formal methods, stimulated largely by foundational problems in mathematics.

A logic gate executes a logical operation on one or more binary and produces a single binary output according to convention (Gibson, 2013). Driven by the demand for higher performance capabilities, ...

The authors also point out that the use of implication is quite common among those who study formal logic, but is largely ignored by those designing logic schemes, who focus on what's easy to do ...