Mamdanian logic
In the framework of stratified fuzzy propositional logic F, the regular harmonious neighborhood structure determined by the Mamdanian approximate function Hgt is the typical and best paradigm of approximate reasoning neighborhood algorithms. The advantage of Mamdanian algorithm comes from the regular harmoniousness property of Hgt presented by us in this paper, which guarantees that when the input of the obtained new approximate knowledge is close enough to that of the standard knowledge, not only the approximate reasoning consequence of the new knowledge is adequately close to that of the standard knowledge, but also the new knowledge itself is close enough to the standard knowledge.