This paper deals with a new family of (A, N)-implications that derived from fuzzy negation and continuous monotone function, and some properties, like the left neutrally, the exchange principle, the ordering property and the laws of contraposition, of the proposed family of (A, N)-implications are studied. Moreover, the T-conditionality and the Modus tollens for the new family of (A, N)-i...

We establish a probabilized version of modus tollens, deriving from p(E jH)1⁄4 a and p( E)1⁄4 b the best possible bounds on p( H). In particular, we show that p( H)! 1 as a, b ! 1, and also as a, b ! 0.

This paper defends a counterexample to Modus Tollens, and uses it to draw some conclusions about the logic and semantics of indicative conditionals and probability operators in natural language. Along the way we investigate some of the interactions of these expressions with knows, and we call into question the thesis that all knowledge ascriptions have truthconditions. A probabilistic dynamic s...

Two nonstandard modes o f mference, conftrmatton and dental, have been shown by Bandler and Kohout to be vahd m fuzzy propositional and predicate logics. I f demal ts used m combmatton with modus ponens, the resultmg mference mode ("augmented modus ponens") ytelds more prectse bounds on the consequent of an implication than are usually called for m approximate reasoning. Slmdar results hold for...

Two important basic inference models of fuzzy reasoning are Fuzzy Modus Ponens (FMP) and Tollens (FMT). In order to solve FMP FMT problems, the full implication triple I algorithm, reverse algorithm Subsethood Inference (SIS for short) proposed, respectively. Furthermore, existing algorithms extended intuitionistic sets interval-valued according different needs. The purpose this paper is study ...

The abstract is: Qualitative research is just as able as quantitative research to follow certain fundamental principles of logic in general and scientific reasoning in particular. Two such principles are the logic of modus ponens and the logic of modus tollens. In this essay, we frame different research approaches – positivist research, interpretive research, action research, and design researc...

Multi-valued Fredkin gates (MVFG) are reversible gates and they can be considered as modified version of the better known reversible gate the Fredkin gate. Reversible logic gates are circuits that have the same number of inputs and outputs and have one-to-one and onto mapping between vectors of inputs and outputs; thus the vector of input states can be always reconstructed from the vectors of o...

with conventional expert systems, it is clear that 1) 2) 3) AARS can reduce the size of the rule base; AARS uses linguistic variables rather than quantitative variables; AARS increases the system's flexibility. In future research, we expect to 1) associate observation P,' and rule R , with certainty factors CF, and CF, and derive a certainty factor for consequent experiment with other forms of ...