Ordering, distance and closeness of fuzzy sets

摘要: Abstract In dense rule bases where the observation usually overlaps with several antecedents in base, various algorithms are used for approximate reasoning and control. If located sparsely, does not overlap as a any of antecedents, function approximation techniques combined Resolution Principle lead to applicable conclusions. This kind is possible only if new concept ordering distance, i.e. metric state space, partial among convex normal fuzzy sets (CNF sets) introduced. So, distance two CNF can be defined, by this closeness similarity sets, well.