In the field of rough set theory there is rough set extension called multi-granulation rough set model where the set approximations are defined using multi-equivalence relations. But, I always see in papers "pessimistic" and "Optimistic" multi-granulation rough set models. So, what is the difference between these models and what are the advantage and disadvantage of both
"A Covering-Based Pessimistic Multigranulation Rough Set" paper says they are both different in terms of definition of target on multiple granules and varying definitions of set approximations
Conference Paper A Covering-Based Pessimistic Multigranulation Rough Set
The lower and upper approximations for these two multigranulations have been compared in one of my papers. This leads to the computation of their boundaries, which are the areas of uncertainties. I am providing below the details of that paper:
B.K.Tripathy and M.Nagaraju: A comparative analysis of multigranular Approaches and on topological properties of Incomplete Pessimistic Multigranular Rough Fuzzy Sets, International Journal of Intelligent Systems and Applications, (2012), vol.11, pp.99-109
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