Extracting classification rules from data is an important task of data mining and is gaining considerable attention in recent years. This paper comprises classification of different types of rule extraction algorithm and their comparative study by considering their advantages separately. These Ant Colony based algorithms called as Ant_Miner have been successfully implemented in various fields such as remote sensing problems, combinatorial problems, scheduling problems and the quadratic assignment problem. No single algorithm is efficient enough to tackle related problems arising from different fields. Hence, in this paper we present several Ant_Miner algorithms which can be used according to one's need.