具有t-范数的模糊M-半群的性质

摘要

本文利用范数,引入M-半群的T-模糊M-子半群的概念,刻划其性质和特征.进一步,我们给出T-模糊M-子半群R与T-模糊M-子半群S的直积是T-模糊M-子半群这一结论.同时,我们证明了T-模糊M-子半群可分解成T-模糊M-子半群的直积.%In this papr, we introduce the notion ofT-fuzzy M-subsemigroups of M-semigroups by using a t-norm T and obtain some interesting properties. Further we show that the direct product of a T-fuzzy M-subsemigroup of R and a fuzzy M-subsemigroup of S is a T-fuzzy M-subsemigroup of M. Moreover, we prove that T-fuzzy M-subsemigroup of M is exhibited as the direct product of T-fuzzy M-subsernigroups of R and S respectively.