TURKISH JOURNAL OF MATHEMATICS, cilt.41, ss.1535-1551, 2017 (SCI İndekslerine Giren Dergi)
In this present work, we present the concept of a crossed module over generalized groups and we call it a "generalized crossed module". We also define a generalized group-groupoid. Furthermore, we show that the category of generalized crossed modules is equivalent to that of generalized group-groupoids whose object sets are abelian generalized group.