I suggest ArcGIS where you can process the classification and then refining the result by post-processing techniques (majority filtering...etc). see attached image.

Also Envi and Erdas  are the most software used in image processing and classification 

Generally speaking, Land Cover Classification (LCC) can be done by supervised classification and unsupervised classification techniques in a GIS based environment. LCC greatly depends on the availability of ground truth data. Please refer to the following links for LCC techniques and a basic tutorial:

http://semiautomaticclassificationmanual-v4.readthedocs.io/en/latest/Tutorials.html

http://virginiaview.cnre.vt.edu/AV_labs/GAView/multispec/Tutorial03_SupervisedClassification_Win_Student.pdf

http://silvis.forest.wisc.edu/sites/default/files/uploads/pubs/Knorn_2009_RSE_0.pdf

There are multiple software available for LCC such as ArcGIS, ENVI, ERDAS Imagine etc. and GRASS GIS, QGIS for example in the open source domain. I second the suggestion of El-Sharkawy for using ArcGIS but please be informed it is a commercial software and comes with different levels of user license. If you can access the tools easily then ArcGIS would be better. Nevertheless, QGIS  as well as other open source software (GRASS GIS, SAGA GIS) have also been used for LCC and relevant analyses. It also depends on the matter of choice. Below you find some more examples of open source GIS LCC studies:

http://www.mdpi.com/2072-4292/4/9/2530/htm

http://www.sciencedirect.com/science/article/pii/S0034425713002204

https://www.researchgate.net/profile/Iyappan_Lakshmanan/publication/259742087_Landuse_Change_Detection_through_Image_Processing_and_Remote_Sensing_Approach_A_Case_Study_of_Palladam_Taluk_Tamil_Nadu/links/0046352d8859a36b3a000000.pdf

Hope this helps you.

Article Landuse Change Detection through Image Processing and Remote...

Suggest you use ArcGIS allowing you to make a selection by attributes and thus make filtering coverage

http://desktop.arcgis.com/es/arcmap/10.3/map/working-with-layers/using-select-by-attributes.htm