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Dubois and Prade (1990) introduced the lower and upper approximations of fuzzy sets in a Pawlak approximation space, which initiated the concept of rough fuzzy sets. The present paper aims to combine the theories of fuzzy sets, rough sets and soft sets together. We consider the lower and upper approximations of fuzzy sets in terms of soft sets, which give rise to the new concepts of soft-rough approximations...
Suppose we are given a set of generators for a group G of permutations of a colored set A. The color automorphism problem for G involves finding generators for the subgroup of G which stabilizes the color classes. Testing isomorphism of graphs of valence ≤ t is polynomial-time reducible to the color automorphism problem for groups with small simple sections. The algorithm for the latter problem involves...
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