... 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...

...bits involved are not of a high grade. But there are habits of judging and reasoning as truly as of handling a tool, painting a picture, or conducting... ...e degree in which his preferences modify the stuff of his observations and reasonings. There is, however, no incompatibility between the fact that the... ...zed and the implications of the hypoth- esis developed—an operation called reasoning. Then the suggested solution—the idea or theory—has to be tested ... ...ration is more typical of the right way of knowledge than isolated logical reasonings. Experiment developed in the seventeenth and succeeding centurie... ...tory exercises, while a great improvement upon textbooks arranged upon the deductive plan, do not of themselves suffice to meet the need. While they a... ...d Latin composition comes first and English composition next; for abstract reasoning, mathematics stands almost alone; for concrete reason- ing, scien... ... instead of with the concrete; the scorn of particulars except as they are deductively brought under a universal; the disregard for the body; the depr... ...s called the substitution of inductive experimental methods of knowing for deductive. In some sense, men had always used an inductive method in deal- ...