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1. From Aristotle’s Logic to Artificial Neural Networks and Hybrid Systems  115




                  •  Recurrent ANN and reinforcement learning [20].
                  •  Other [21].

                     Some of the ANN were considered “black boxes” as it was difficult to interpret
                  their internal structures and to articulate the essential knowledge learned. That led to
                  the development of hybrid ANN ruleebased systems.

                  1.4 INTEGRATING ANN WITH RULE-BASED SYSTEMS: HYBRID
                      CONNECTIONIST SYSTEMS
                  In order to incorporate human knowledge into an intelligent system, an ANN module
                  can be combined with a rule-based module in the same system. The rules can be
                  fuzzy rules as a partial case [22]. An exemplar system is shown in Fig. 6.3, where,
                  at a lower level, an ANN module predicts the next day value of a stock index and,
                  at a higher level, a fuzzy reasoning module combines the predicted values with
                  some macroeconomic variables, using the following types of fuzzy rules [22]:
                      IF <the stock value predicted by the ANN module is high>
                       AND <the economic situation is good>
                      THEN <buy stock>
                     Hybrid systems can also use crisp propositional rules, along with fuzzy rules [23].
                  The type of hybrid systems illustrated in Fig. 6.3 is suitable to use when decision rules
                  are available to integrate with a machine learning module that learns from incoming
                  data.
                     Another group of ANN methods can be used not only to learn from data, but to
                  extract rules from a trained ANN and/or insert rules into an ANN as initialization
                  procedure. These are the neurofuzzy systems as discussed in the next section on
                  the case of the evolving connectionist systems (ECOS).
                     The integration of ANN and fuzzy systems into one system attracted many
                  researchers. The integration of fuzzy rules into a single neuron model and then


                              Fuzzified data
                                                           Rules
                                           Neural                    Trading rules
                                                           extraction
                                           network                     (fuzzy)
                                                           module
                     Current price              Predicted price
                                       Neural
                                       network
                     Yesterday's price           (crisp value)
                     (crisp values)

                              Political situation  Fuzzy  Decision (buy/sell/hold)
                                                 rule based
                              Economic situation  decision  (fuzzy & crisp values)
                              (fuzzy values)
                  FIGURE 6.3
                  A hybrid ANN-fuzzy ruleebased expert system for financial decision support [22].
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