... 1.21 Some properties of minimal solution for a FRE 123 1.22 FRE and causal reasoning 126 1.23 Identification of FRE by fuzzy neural networks 13... ...ese generalizations concepts 29 from some applications such as approximate reasoning and fuzzy control. Given a particular t-norm i and two fuz... ...used ways of constructing fuzzy inference systems is the method of approximate reasoning which can be implemented on the basis of compositional rul... ...al rule of inference. Different criteria have been proposed for the approximate reasoning to satisfy relevant conditions. The most useful is that of... ...ral inference system that implements the relational equation of the approximate reasoning and secondly a general neural fuzzy system of arbitrary le... ...which are absent, i.e. all manifestations which are present are observed. While deductive reasoning enables us to predict the presence of manifestat...

...sophic, etc. We survey also results which show the tree different proof-theoretic frameworks for many-valued logics, e.g. frameworks of the following deductive calculi: Hilbert ’s style, sequent, and hypersequent. Recall that hypersequents are a natural generalization of Gentzen ’s style sequents that was introduced independently by Avron and Pottinger . In particular, we...