We consider different types of aggregation operators such as the heavy ordered weighted averaging (HOWA) operator and the fuzzy ordered weighted averaging (FOWA) operator. We introduce a new extension of the OWA operator called the fuzzy heavy ordered weighted averaging (FHOWA) operator. The main characteristic of this aggregation operator is that it deals with uncertain information represented...

Fuzzy Description Logics (Fuzzy DLs) are logics that allow to deal with structured knowledge affected by fuzziness. Fuzzy DLs are at the heart of Fuzzy OWL 2, a fuzzy version of the standard ontology language OWL 2. Although a relatively important amount of work has been carried out in the last years, fuzzy DLs are open to be extended with several features worked out in other fields. In particu...

The ordered weighted average (OWA) is an aggregation operator that provides a parameterized family of operators between the minimum and the maximum. This paper presents the OWA weighted average distance operator. The main advantage of this new approach is that it unifies the weighted Hamming distance and the OWA distance in the same formulation and considering the degree of importance that each...

We analyze a simple sequential algorithm (SA) for allocating indivisible items that are strictly ranked by n ≥ 2 players. It yields at least one Pareto-optimal allocation which, when n = 2, is envy-free unless no envy-free allocation exists. However, an SA allocation may not be maximin or Borda maximin—maximize the minimum rank, or the Borda score, of the items received by a player. Although SA...

This paper deals with the multiobjective version of the optimal spanning tree problem. More precisely, we are interested in determining the optimal spanning tree according to an Ordered Weighted Average (OWA) of its objective values. We first show that the problem is weakly NP-hard. We then propose different mixed integer programming formulations, according to different subclasses of OWA functi...

The ordered weighted averaging objective (OWA) is an aggregate function over multiple optimization criteria which received increasing attention by the research community over the last decade. Different to the ordered weighted sum, weights are attached to ordered objective functions (i.e., a weight for the largest value, a weight for the second-largest value and so on). As this contains max-min ...

Semantic web techniques based on ontologies are a possible means for modelling and validating complex, safety-critical products like airplanes or automobiles. For validation purposes, checks based on the Open World Assumption (OWA) as well as checks based on the Closed World Assumption (CWA) are both valuable. Based on a survey of existing semantic-based approaches, we present a novel approach ...

In the context of the binomial decomposition of OWA functions, we investigate the parametric constraints associated with the 3-additive case in n dimensions. The resulting feasible region in two coefficients is a convex polygon with n vertices and n edges, and is strictly increasing in the dimension n. The orness of the OWA functions within the feasible region is linear in the two coefficients,...

This paper describes the participation of the SNUMedinfo team at the TREC Clinical Decision Support track 2014. This task is about medical casebased retrieval. Case description is used as query text. Per each query, one of three categories (Diagnosis, Test and Treatment) is designated as target information need. Firstly, we used external tagged knowledge-based query expansion method for the rel...

In response to the work of Borges et al. (2012), Hulkower (2012) poses questions regarding the relative merits of the Condorcet and the Borda methods; a topic which has been taking place in socio-political studies for a very long time. While both approaches have their supporters and their detractors (Young, 1988; Risse, 2005; Saari, 2006), below we present the reasons for choosing Condorcet’s m...