中文摘要：

给出模糊强φ-同余的概念,接着用＂弱φ-逆＂研究φ-反演半群S（φ）上的强φ-同余,最后借助于由φ上的模糊正规等价关系ξ及S（φ）上的模糊正规子集K组成的模糊强φ-同余对（ξ,K）刻画φ-反演半群S（φ）上的模糊强φ-同余。

英文摘要：

In this paper,firstly we introduce the concept of fuzzy strong φ-congruences on φ-inversive semigroups S（P）.Secondly we study the fuzzy strong φ-congruences by means of ＂weak φ-inverse＂.Lastly,the fuzzy strong φ-congruences on φ-inversive semigroups S（P） are described by means of certain fuzzy strong φ-congruence pair （ξ,K）,where ξ is a certain fuzzy normal equivalence on P and K is a certain fuzzy normal subset of S（P）.