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 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 ...

Complex intuitionistic fuzzy (CIF) information covers the degree of membership and non-membership in form polar coordinates with a valuable dominant characteristic where sum real parts (the same rule for imaginary parts) pair must be contained unit interval. In this paper, we first derive Frank operational laws CIF then examine prioritized aggregation operators based on managing theory informat...

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...

The Aczel-Alsina t-norms ware proposed by Aczel and Alsina in 1982, which are a very effective dominant technique used the construction of any kind aggregation operators. Moreover, Algebraic special case because parameter $$0<p<+\infty$$ . Additionally, complex intuitionistic fuzzy (COIF) set is an essential valuable part to handle vague awkward situations many real-life problems. Motivated abo...

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...

In a previous paper Low91] we presented two new models of timed CSP. The rst model included biased operators in the syntax, which could be used to model diierent priorities on actions. The second model extended this by adding a probabilistic choice operator to the syntax; this allowed us to give a semantics which modelled the probabilities of diierent behaviours occurring. In Low92b] we present...