We propose a least absolute deviation model for obtaining OWA operator weights: Minimize ∑i=n−1 i=1 |wi − wi−1| subject to orness(W ) = ∑n i=1 n−i n−1wi = α, 0 ≤ α ≤ 1, w1 + · · ·+ wn = 1, 0 ≤ wi, i = 1, · · · , n. Recently, the extended minimax disparity problem was proved by Hong [Fuzzy Sets and Systems, 168 (2011) 35-46]. In this paper, we investigated the equivalence of the solutions for th...

The methods for determining OWA operator weights have aroused wide attention. We first review the main existing methods for determining OWA operator weights. We next introduce the principle of maximum entropy for setting up probability distributions on the basis of partial knowledge and prove that Xu’s normal distribution-based method obeys the principle of maximum entropy. Finally, we propose ...

In this paper we propose an extension of the wellknown OWA functions introduced by Yager to interval-valued (IVFS) and Atanassov’s intuitionistic (AIFS) fuzzy set theory. We first extend the arithmetic and the quasi-arithmetic mean using the arithmetic operators in IVFS and AIFS theory and investigate under which conditions these means are idempotent. Since on the unit interval the construction...

Committee scoring voting rules are multiwinner analogues of positional scoring rules which constitute an important subclass of single-winner voting rules. We identify several natural subclasses of committee scoring rules, namely, weakly separable, representation-focused, top-$k$-counting, OWA-based, and decomposable rules. We characterize SNTV, Bloc, and $k$-Approval Chamberlin--Courant as the ...

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...