This paper presents the role of copula functions in the theory of aggregation operators and an axiomatic characterization of Archimedean aggregation functions. In this context we are focusing our attention about several properties of aggregation functions, like supermodularity and Schur-concavity.

A new approach for linguistic group decision making by using probabilistic information and induced aggregation operators is presented. It is based on the induced linguistic probabilistic ordered weighted average (ILPOWA). It is an aggregation operator that uses probabilities and OWA operators in the same formulation considering the degree of importance that each concept has in the formulation. ...

We analyze different types of aggregation operators based on the use of probabilities, weighted averages (WAs) and generalized aggregation operators. We present the generalized probabilistic weighted averaging (GPWA) operator. It is a new aggregation operator that unifies the WA and the probability in the same formulation considering the degree of importance that each concept has in the analysi...

This paper deals with a characterization of a class of aggregation operators. This class concerns operators which are symmetric, increasing, stable for the same positive linear transformations and present a property close to the bisymmetry property: the ordered bisymmetry property. It is proved that the class investigated contains exactly the ordered weighted averaging operators (OWA) introduce...

A smoothed aggregation multigrid method is presented for the numerical calculation of the stationary probability vector of an irreducible sparse Markov chain. It is shown how smoothing the interpolation and restriction operators can dramatically increase the efficiency of aggregation multigrid methods for Markov chains that have been proposed in the literature. The proposed smoothing approach i...

To better understand the ordering of clause aggregation operators in a text generation application, we manually annotated a small corpus. The annotated corpus supports the preferred ordering of transformations that result in shorter surface expressions, such as adjectives over relative clauses. In addition, we were able to explain why paratactic operators are applied before and after hypotactic...

Many aggregation operators are studied to deal with multi-criteria group decision-making problems. Whenever information has two aspects, intuitionistic fuzzy sets and Pythagorean employed handle the information. However, q-rung orthopair more flexible suitable because they cover widely. The current paper primarily focuses on technique based prioritization robust Aczel–Alsina t-norm t-conorm. Th...

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The aim of this paper is to introduce, by axiomatic way, the measure of the general (i.e. without probability) aimed information for crisp sets. We traslate the problem in a system of functional equation and we present a class of solutions; in the case of independence we characterize the solution. Finally, we give some aggregation operators for this form of information measures.