This paper will introduce a new method to obtain the order weightsof the Ordered Weighted Averaging (OWA) operator. We will first show therelation between fuzzy quantifiers and neat OWA operators and then offer anew combination of them. Fuzzy quantifiers are applied for soft computingin modeling the optimism degree of the decision maker. In using neat operators,the ordering of the inputs is not...

Most preferred ordered weighted average (MP-OWA) operator is a new kind of neat (dynamic weight) OWA operator in the aggregation operator families. It considers the preferences of all alternatives across the criteria and provides unique aggregation characteristics in decision making. In this paper, we propose the parametric form of the MP-OWA operator to deal with the uncertainty preference inf...

In this paper we discuss the integration of different GIR systems by means of a fuzzy Borda method for result fusion. Two of the systems, the one by the Universidad Politécnica de Valencia and the one of the Universidad of Jaén participated to the GeoCLEF task under the name TextMess. The proposed result fusion method takes as input the document lists returned by the different systems and retur...

The OWA operator proposed by Yager has been widely used to aggregate experts’ opinions or preferences in human decision making. Yager’s traditional OWA operator focuses exclusively on the aggregation of crisp numbers. However, experts usually tend to express their opinions or preferences in a very natural way via linguistic terms. These linguistic terms can be modelled or expressed by (type-1) ...

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...

We study different types of aggregation operators and the decision making process with minimization of regret. We analyze the original work developed by Savage and the recent work developed by Yager that generalizes the MMR method creating a parameterized family of minimal regret methods by using the ordered weighted averaging (OWA) operator. We suggest a new method that uses different types of...

In this paper we propose a generalization of Atanassov’s operators and we prove that these generalized operators and OWA operators of dimension 2 provide the same numerical results. We apply Atanassov’s operators to image compression and use different families of OWA operators in order to calculate the coefficient α of the Atanassov’s operator. Keywords— Image compressing, OWA operators, Atanas...

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 ...

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...