Abstract
The fuzzy subsets of a group under the sup-min product have been classified into six successively stronger classes and their interrelationship, like absorption, has been studied. The central fuzzy sets that commute with all fuzzy sets have been identified as a closed class. A generating technique for these classes is proposed and their preservation under homomorphic images and preimages is studied. The existence of certain subgroups acting as the maximal domains for members of these classes has been established.
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