|Title:||Bisemilattice-valued fuzzy sets||Journal:||Novi Sad Journal of Mathematics - NSJOM||Volume:||28||Issue:||3||First page:||105||Last page:||114||Issue Date:||1-Jan-1998||Rank:||M51||ISSN:||1450-5444||URL:||https://www.dmi.uns.ac.rs/nsjom/Papers/28_3/NSJOM_28_3_105_114.pdf||Abstract:||
Bisemilattice-valued fuzzy set (B-fuzzy set) is defined to be a mapping from a nonempty set to bisemilattice (an algebraic structure with two binary operations, both commutative, associative and idempotent).
To each B-fuzzy set corresponds two collections of subsets, levels (cuts) of that fuzzy set. These two families are determined by two ordering relations on a bisemilattice. Theorems of decomposition of B-fuzzy sets into levels are formulated and proved in the paper. Starting from two families of subsets of a set X, we give conditions for synthesis of a B-buzzy set. Some other properties of B-fuzzy sets are also formulated.
|Keywords:||fuzzy sets | bisemilattice||Publisher:||Faculty of Science, University of Novi Sad|
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