Two classes of aggregation functions: L-statistics and S-statistics and their generalizations called quasi-L-statistics and quasi-S-statistics are considered. Some interesting characterizations of these families of operators are given. The aforementioned functions are useful for various applications. In particular, they are very helpful for modeling the socalled Producer Assessment Problem.

Gender imbalances in work environments have been a longstanding concern. Identifying the existence of such imbalances is key to designing policies to help overcome them. In this work, we study gender trends in employment across various dimensions in the United States. This is done by analyzing anonymous, aggregate statistics that were extracted from LinkedIn’s advertising platform. The data con...

Two linguistic-based voting systems have been introduced in recent years, namely: Majority Judgement (Balinski and Laraki, 2007) and Range Voting (Smith, 2000). The keys for them are aggregation procedures based on the median and the arithmetic mean of the grades assessed to the alternatives, respectively. In this paper a comprehensive framework based on centered OWA operators (Yager, 2007) and...

introduction: soil structural stability affects the profitability and sustainability of agricultural systems. particle size distribution (psd) and aggregate stability are the important characteristics of soil. aggregate stability has a significant impact on the development of the root system, water and carbon cycle and soil resistance against soil erosion. soil aggregate stability, defined as t...

Certain aggregate externalities, like those due to knowledge and public goods, do not change very much in response to changes in two individuals’ actions. Thus, individuals rationally regard the level of the externality as fixed in their negotiations with each other. We leverage this observation to develop a general framework for the existence of stablematchings inmoderately sized one-to-onemat...

We present in this paper some properties of k-Lipschitz quasi-arithmetic means. The Lipschitz aggregation operations are stable with respect to input inaccuracies, what is a very important property for applications. Moreover, we provide sufficient conditions to determine when a quasi–arithemetic mean holds the k-Lipschitz property and allow us to calculate the Lipschitz constant k. Keywords— k-...

Article history: Received 4 October 2012 Received in revised form 3 August 2013 Accepted 13 August 2013 Available online 27 August 2013

In our contribution we discuss the power stability of 1-Lipschitz binary aggregation functions. The main result is the characterization of power stable quasi-copulas by means of their dependence functions. The notions are illustrated by examples.

We investigate the associativity property for varying-arity aggregation functions and introduce the more general property of preassociativity, a natural extension of associativity. We discuss this new property and describe certain classes of preassociative functions.