2,979 publications from this institution
Since a noisy image has inferior characteristics, its direct use in Fuzzy C-Means (FCM) often produces poor image segmentation results. Intuitively, using its ideal value (noise-free image) benefits FCM's robustness enhancement. Therefore, the realization of accurate noise estimation in FCM is a new and important task. In this chapter, we elaborate residual-driven Fuzzy C-Means (FCM) for image segmentation, which is the first approach that realizes accurate residual (noise/outliers) estimation and makes noise-free image participate in clustering. We propose a residual-driven FCM framework by integrating into FCM a residual-related regularization term derived from the distribution characteristic of different types of noises. Built on this framework, a weighted ℓ2-norm regularization term is presented by weighting mixed noise distribution, thus resulting in a universal residual-driven FCM algorithm in presence of mixed or unknown noises. In addition, we make a comparative study of residual-driven FCM and only existing noise-estimation-based FCM, i.e., deviation-sparse FCM. Finally, supporting experiments on synthetic, medical, and real-world images are conducted. The results demonstrate the superior effectiveness and efficiency of the proposed algorithm over its peers.
Intuitionistic multiplicative preference relations (IMPRs), as an extension of multiplicative preference relations (MPRs), are suitable to capture hesitation and indeterminacy of the experts' judgments. This paper aims to build several goal programming models to manage consistency and consensus of IMPRs and develop a consistency and consensus-based approach for dealing with group decision making (GDM) with IMPRs. First, the study offers a consistency index to quantify the consistency level for IMPRs as well as to define acceptably consistent IMPRs. For an IMPR, which is unacceptably consistent, several consistency-based programming models are developed to deal with the inconsistency and to establish an acceptable consistent IMPR. A consistency-based method to decision making with an IMPR is presented. Subsequently, considering the consensus in GDM, a consensus index is proposed for gauging the agreement degree among individual IMPRs. As to the individual IMPRs, which do not exhibit acceptable consistency or acceptable consensus, several goal programming models to derive new IMPRs with acceptable consistency and consensus are provided. Afterward, individual IMPRs are fused into a group IMPR by an aggregation operator that can guarantee the consistency of the obtained group IMPR. A consistency and consensus-based GDM method with a group of IMPRs is developed. Finally, two practical numerical examples are offered and a comparative analysis is presented.
Fuzzy logic has been found to be a very effective mathematical tool for dealing with the modelling and control aspects of complex industrial processes. In this paper, we outline the methodology which is embedded in fuzzy logic for modelling and control in retrospect. We give also a conceptual framework for cognitive controllers, a new type of controllers having adaptive and learning abilities and which are based upon a neural-net framework. The learning and adaptive capabilities, along with the simplicity of designing the control algorithms, which can be embedded into neural-like layers, may provide a new control framework to contol systems engineers.