Studies On Fuzzy Ideals Of Some Semigroups

In this paper, we mainly study on fuzzy ideals of some semigroups. Firstly, we define interval-valued Q-fuzzy ideals by interval-valued Q-fuzzy points, then some theorems are given to characterize intra-regular semigroups and completely regular semigroups in terms of interval-valued Q-fuzzy ideals. Secondly, we define the con-cept of interval-valued Q-fuzzy m-system, some characterizations of interval-valued Q-fuzzy weakly (semi)prime ideals are obtained, some characterizations of interval-valued Q-fuzzy duo ordered semigroups and intra-regular ordered semigroups are given in terms of interval-valued Q-fuzzy filters Ni(x, q). Finally, some characteriza-tions of interval-valued Q-fuzzy (semi)primary ideals are obtained by interval-valued Q-fuzzy roots FRad(TI), some theorems are given to characterize interval-valued Q-fuzzy semiprimary ordered semigroups in terms of interval-valued Q-fuzzy prime ideals.