The ordered weighted geometric (OWG) operator is an aggregation operator that is based on the ordered weighted averaging (OWA) operator and the geometric mean. Its application in multicriteria decision making (MCDM) under multiplicative preference relations has been presented. Some families of OWG operators have been defined. In this article, we present the origin of the OWG operator and we rev...

Metasearch engines submit the user query to several underlying search engines and then merge their retrieved results to generate a single list that is more effective to the users’ information needs. According to the idea behind metasearch engines, it seems that merging the results retrieved from different retrieval models will improve the search coverage and precision. In this study, we have in...

In this paper, we present the uncertain probabilistic ordered weighted averaging distance (UPOWAD) operator. Its main advantage is that it uses distance measures in a unified framework between the probability and the OWA operator that considers the degree of importance of each concept in the aggregation. Moreover, it is able to deal with uncertain environments represented in the form of interva...

This paper is devoted to the determination of wellbalanced solutions in search problems involving multiple cost functions. After indicating various contexts in which the ordered weighted averaging operator (with decreasing weights) is natural to express the preferences between solutions, we propose a search algorithm to determine the OWA-optimal solution. More precisely, we show how to embed th...

According to the achievements of the research on affective recognition based on physiological signal and Gross emotion regulation theory, an affective regulation system was constructed, on the one hand it can monitor the user’s current affection in real time on the other hand it can regulate user’s negative affections by providing an optimal material. Meanwhile, an decision-making algorithm des...

In a general bargaining model with a fixed proposer, we show that the agenda setter’s equilibrium payoff is never lower than her payoff in the static model. There is a cutoff level of voter patience such that below the cutoff, the static equilibrium (possibly along with others) obtains; and above the cutoff, all equilibria are in mixed proposal strategies, and the agenda setter does strictly be...

It is shown that the counting function of n Boolean variables can be implemented with the formulae of size O(n3.06) over the basis of all 2-input Boolean functions and of size O(n4.54) over the standard basis. The same bounds follow for the complexity of any threshold symmetric function of n variables and particularly for the majority function. Any bit of the product of binary numbers of length...

The present research proposes a new method to analyze the sustainable development goals (SDGs) index using ordered weighted average (OWA) operators. To develop this method, five experts evaluated and designated relative importance of each 17 SDGs defined by United Nations (UN), with use OWA prioritized (POWA) operators, rankings were generated. With results, it is possible visualize that rankin...