PROCEEDINGS IPMU '08
On Properties of Type-1 OWA Operators in Aggregating Uncertain Information for Soft Decision Making
Shang-Ming Zhou, Francisco Chiclana, Robert I. John, Jonathan M. Garibaldi.
The type-1 OWA operator is a new
aggregation operator that is used to
directly aggregate fuzzy sets via an
OWA mechanism. In this paper,
an α-level type-1 OWA operator capable
of aggregating the α-cuts of
fuzzy sets is proposed. Based on
the fuzzy set Representation Theorem,
we indicate that a general
type-1 OWA operator can be represented
by its α-level type-1 OWA
operators. This result is very useful
in investigating the properties of
general type-1 OWA operators. In
this paper, we give the conditions
under which the type-1 OWA operator
possesses the properties that
Yager’s OWA operator holds: idempotency,
monotony, compensativity,
and commutativity. This provides a
solid basis for the type-1 OWA operator
to be applied to multi-expert
decision making, multi-criteria decision
making and multi-expert multicriteria
decision making.
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