A BL-Algebra on Type-2 Fuzzy Sets
Keywords:
Type-2 fuzzy sets, BL-algebras, Basic logicAbstract
In this paper, we investigate the formal properties of a peculiar BL-algebra whose elements are particular type-2 fuzzy sets. These type-2 fuzzy sets have membership degrees that are triangular fuzzy number totally ordered on [0, 1]. This algebra, endowed with suitable functions for data modelling, allows to handle a wide range of applications.
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