6533b86cfe1ef96bd12c89ae
RESEARCH PRODUCT
General aggregation operators based on a fuzzy equivalence relation in the context of approximate systems
Pavels OrlovsSvetlana Asmusssubject
Discrete mathematicsPointwiseLogic05 social sciencesFuzzy set050301 educationContext (language use)02 engineering and technologyExtension (predicate logic)Lattice (discrete subgroup)Operator (computer programming)Artificial Intelligence0202 electrical engineering electronic engineering information engineeringEquivalence relationApplied mathematics020201 artificial intelligence & image processing0503 educationOrdered weighted averaging aggregation operatorMathematicsdescription
Our paper deals with special constructions of general aggregation operators, which are based on a fuzzy equivalence relation and provide upper and lower approximations of the pointwise extension of an ordinary aggregation operator. We consider properties of these approximations and explore their role in the context of extensional fuzzy sets with respect to the corresponding equivalence relation. We consider also upper and lower approximations of a t-norm extension of an ordinary aggregation operator. Finally, we describe an approximate system, considering the lattice of all general aggregation operators and the lattice of all fuzzy equivalence relations.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2016-05-01 | Fuzzy Sets and Systems |