A New Similarity Measure Between Intuitionistic Fuzzy Sets Based on a Choquet Integral Model
DOI: 10.1109/FSKD.2008.87 Conference: Fuzzy Systems and Knowledge Discovery, 2008. FSKD '08. Fifth International Conference on, Volume: 3
Source: IEEE Xplore
Several existing similarity measures between intuitionistic fuzzy sets (IFSs) and between vague sets are reviewed. A numerical example shows that these similarity measures are not always reasonable in some cases, and one reason is that inherent interactions among elements of a given universe are ignored. To overcome the drawbacks of these similarity measures, a new similarity measure of IFSs is proposed based on a Choquet integral model, where a generalized fuzzy measure is used to characterize interactions among elements of a given universe of IFSs or vague sets, and the Choquet integral model instead of a weighted average model is used to compute the new similarity measure. Further, properties of the new similarity measure are discussed, and numerical examples show that this new similarity measure is more reasonable than the existing similarity measures.
- [Show abstract] [Hide abstract]
ABSTRACT: In this paper, we proposed a tunnel morph model for bio-signal waveform in measuring their similarity. Firstly, the formal specifications of bio-signal waveforms are given. And then, a series of model establishing related definitions are presented. These definitions contain waveform segmentation; waveforms distance measurement, and tunnel width computation. Moreover, on the base of the model, a similarity measuring strategy which takes the curve feature of bio-signal into account was presented. In the end, the strategy was compared with other similarity measurement methods by AECG (Ambulatory Electrocardiogram) waveform data. The data are adopted from MIT/BIH arrhythmia database. Experiment results show that the sensitivity and the positive predictivity of the strategy based on tunnel morph model are prior to other strategies.Conference proceedings: ... Annual International Conference of the IEEE Engineering in Medicine and Biology Society. IEEE Engineering in Medicine and Biology Society. Conference 01/2010; 2010:4691-4. DOI:10.1109/IEMBS.2010.5626420
- [Show abstract] [Hide abstract]
ABSTRACT: One similarity measurement strategy for bio-signal waveform is presented in this paper. A tunnel morph is introduced to describe the waveform. It measures the waveform not only by a value, but considers the curve feature of waveforms. Then a set of integrity definitions are presented in the paper. It contains segmentation, measurement function selection, tunnel morph width, and best partition point assigning. A case study on AECG (Ambulatory Electrocardiogram) is also presented to give a proof for the similarity measurement strategy. Through experiment, the sensitivity and positive prediction of the strategy is higher than city block, Euclidean distance and correlation coefficient. Data used in the paper is from MIT/BIH.Biomedical Engineering and Informatics (BMEI), 2010 3rd International Conference on; 11/2010
Data provided are for informational purposes only. Although carefully collected, accuracy cannot be guaranteed. The impact factor represents a rough estimation of the journal's impact factor and does not reflect the actual current impact factor. Publisher conditions are provided by RoMEO. Differing provisions from the publisher's actual policy or licence agreement may be applicable.