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Managing Overcrowding in Healthcare using Fuzzy Logic          205

                            List all possible permutations of “AND” rules for each fuzzy logic subsystem.
                            Code each rule with “FLSm-n” where  FLS stands for  Fuzzy  Logic Subsystem,  m
                              stands for the number of subsystem, and n stands for the rule number within the m
                              subsystems.
                            Code  “HCE-k”  for  each  participating  expert,  where  HCE  stands  for  Healthcare
                              Expert, and k stands for the expert number.
                            The Expert HCE-k determines the consequence of the fuzzy conditional statement
                              FLSm-n based on their expertise.
                            The fuzzy conditional statement  FLSm-n  must  meet a  50% consensus rate among
                              experts, and must be the only consequence to receive a 50% consensus rate, to be
                              accepted as a valid fuzzy rule.
                            If the consensus rate does not meet the determined criteria, further iterations should
                              be conducted with a new expert until the consensus rate achieves the criteria in the
                              previous step.

                          The  process  for  developing  fuzzy  rules  is  illustrated  in  Figure  10,  where  the
                       consensus feedback is elaborated upon in more detail.


















                       Figure 10: Process for developing Fuzzy Rules.


                       Fuzzification Process


                          Fuzzification is the first step in the fuzzy system, as it obtains both the membership
                       function type  and the  degree  of  membership  from  the  database. This  database is  built
                       from  the  surveyed  expert  determination  of  membership  function  intervals.  In  the
                       fuzzification process, crisp values which are within the universe of discourse of the input
                       variable are translated into fuzzy values, and the fuzzifier determines the degree to which
                       they  belong  to  a  membership  function.  The  fuzzifier  for  this  designed  fuzzy  system
                       adapts  the  Minimum  approach.  Whereas  the  input  is  crisp,  the  output  is  a  degree  of
                       membership in a qualitative set. The fuzzified outputs allow the system to determine the
                       degree to which each fuzzy condition satisfies each rule.
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