In this contribution we introduce a notion of an m-polar aggregation operator as a generalization of aggregation operators and bipolar aggregation operators, and we introduce the main properties of these aggregation operators. Extensions of some (bipolar) aggregation operators to m-polar aggregation operators are also introduced, as well as metrics on the category space K×[0, 1] related tom-pol...

Some special general aggregation operators are given with respect to different ordering relations on the set of all fuzzy subsets of a universe X, F(X ). The proof that pointwise extensions of aggregation operators are general aggregation operators with respect to the ordering fuzzy subset (⊆F ) is given. Also, we have proved that min–extensions of aggregation operators are general aggregation ...

Recently, the utilization of invariant aggregation operators, i.e., aggregation operators not depending on a given scale of measurement was found as a very current theme. One type of invariantness of aggregation operators is the homogeneity what means that an aggregation operator is invariant with respect to multiplication by a constant. We present here a complete characterization of homogeneou...

in some multi-attribute decision making (madm) problems, various relationships among the decision attributes should be considered. this paper investigates the prioritization relationship of attributes in madm with trapezoidal intuitionistic fuzzy numbers (trifns). trifns are a special intuitionistic fuzzy set on a real number set and have the better capability to model ill-known quantities. fir...

in most of the multi–criteria decision–analysis (mcda) problems in which the choquet integral is used as aggregation function, the coefficients of choquet integral (capacity) are not known in advance. actually, they could be calculated by capacity definition methods. in these methods, the preference information of decision maker (dm) is used to constitute a possible solution space. the methods ...

Standard Mobius transform evaluation formula for the Choquet integral is associated with the min-aggregation. However, several other aggregation operators replacing min operator can be applied, which leads to a new construction method for aggregation operators. All binary operators applicable in this approach are characterized by the 1-Lipschitz property. Among ternary aggregation operators all...

Aggregation operators model various operations on fuzzy sets, such as conjunction, disjunction and averaging. Recently double aggregation operators have been introduced; they model multistep aggregation process. The choice of aggregation operators depends on the particular problem, and can be done by fitting the operator to empirical data. We examine fitting general aggregation operators by usi...

Interval-valued intuitionistic fuzzy sets (IVIFSs), a generalization of fuzzy sets, is characterized by an interval-valued membership function, an interval-valued non-membership function.The objective of this paper is to deal with criteria aggregation problems using IVIFSs where there exists a prioritization relationship over the criteria.Based on the ${L}$ukasiewicz triangular norm, we first p...