Fuzzy set theory—and its applications (3rd ed.)
Fuzzy set theory—and its applications (3rd ed.)
A molecular structure matching problem
Computers and Operations Research
Multiple Structural Alignment and Core Detection by Geometric Hashing
Proceedings of the Seventh International Conference on Intelligent Systems for Molecular Biology
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We show here how FANS, a fuzzy sets-based heuristic, is applied to a particular case of the Molecular Structure Matching problem: given two molecules A (the pattern) and B (the target) we want to find a subset of points of B whose set of intra-atomic distances is the most similar to that of A. This is a hard combinatorial problem because, first we have to determine a subset of atoms of B and then some order for them has to be established. We analyze how the size of the pattern affects the performance of the heuristic, thus obtaining guidelines to approach the solution of real problems in the near future.