Intuitionific similarities and intuitionific fuzzy subgroups
Bao Meng-hong · Journal of Liaoning Normal University · 2007
In this paper we show strict relation between the intuitionific fuzzy groups of transformation group in S and intuitionfic similarities on S,i.e.any intuitionific fuzzy subgroup of transformation group on S is associated with an intuitionific similarity on S,and any intuitionific similarity on S is associated with an intuitionific fuzzy subgroup of transformation group on S.And we show the relation between intuitionfic similarity and pseudometric.Further more,from such relation we study the relation between intuitionific fuzzy subgroup and pseudometric,i.e.intutionific fuzzy subgroup of transformation group on S is associated with a pseudometric and,conversely,pseudometric is asoociated with a intuitionific fuzzy subgroup of transformation group on S.