6533b857fe1ef96bd12b4367

RESEARCH PRODUCT

Degree of monotonicity in aggregation process

Olga Grigorenko

subject

Discrete mathematicsComputingMethodologies_PATTERNRECOGNITIONDegree (graph theory)Relation (database)Construction industryProcess (engineering)Fuzzy setApplied mathematicsOrder (group theory)Monotonic functionFuzzy logicMathematics

description

In this paper we introduce a fuzzy order relation notion in the description of aggregation process. Namely, we use the fuzzy order relation to define the degree of monotonicity, which is equal to 1 for a monotone function with respect to a crisp order relation. In that case, integration of fuzzy order relation allows us to generalize the notion of monotonicity and we try to investigate the benefits of using fuzzy relations instead of a crisp relation. Further we illustrate this definition by examples and study the properties of aggregation functions which have a certain degree of monotonicity.

yearjournalcountryeditionlanguage
2010-07-01International Conference on Fuzzy Systems
https://doi.org/10.1109/fuzzy.2010.5584249