Density-induced ordered weighted averaging operators

Abstract

We provide a special type of induced ordered weighted averaging (OWA) operator called densityinduced OWA (DIOWA) operator, which takes the density around the arguments as the inducing variables to reorder the arguments. The density around the argument, which can measure the degree of similarity between the argument and its nearest neighbors, is associated with both the number of its nearest neighbors and its weighted average distance to these neighbors. To determine the DIOWA weights, we redefine the orness measure, and propose a new maximum orness model under a dispersion constraint. The DIOWA weights generated by the traditional maximum orness model depend upon the order of the arguments and the dispersion degree. Differently, the DIOWA weights generated by the new maximum orness model also depend upon the specific values of the density around the arguments. Finally, we illustrate how the DIOWA operator is used in the decision making, and prove the effectiveness of the DIOWA operator through comparing the DIOWA operator with other operators, i.e., the centered OWA operator, the Olympic OWA operator, the majority additive-OWA (MA-OWA) operator, and the kNN-DOWA operator. C 2011 Wiley Periodicals, Inc.

A GIS-based multi-criteria decision-making approach for seismic vulnerability assessment using quantifier-guided OWA operator: a case study of Tehran, Iran

“…Using more than one expert in decision-making may provide more accurate results and better which ensures the reliability of the decision strategy. Some extensions of the OWA operator such as intuitionistic fuzzy OWA (Su et al 2012) and density-induced OWA (Ma and Guo 2011) can be employed to enable group decision-making.…”

A Novel Approach to Support Majority Voting in Spatial Group McDm Using Density Induced Owa Operator for Seismic Vulnerability Assessment

“…Hence, the higher weights should be assigned to the experts with higher density in a majority-based strategy. The w in Equation (5) is calculated using Equation (6) (Ma & Guo, 2011):…”

“…Density Induced Ordered Weighted Averaging (DIOWA) operator facilitates the decision making based on majority voting. In the current research DIOWA is applied to enable decision makers to make decisions with lower weights for experts whose opinions was far from the others (Ma & Guo, 2011).…”

Production of heparanase constructs suitable for nuclear magnetic resonance and drug discovery studies

“…However, the selection of the parameter k can be difficult 33. Taking the ones that are within a similarity threshold (or an allowable inaccuracy threshold) of the argument as its nearest neighbors, Ma and Guo29 measured the reliability of the argument by the density around the argument, which is defined as the number of its nearest neighbors divided by its weighted averaging distance to these neighbors.…”

“…The approaches mentioned above24–29 measure the reliability of each argument by analyzing the local data distribution. The higher the reliability of an argument is, the greater is its weight.…”