Generalized Choquet Integral for Face Recognition

Karczmarek, Paweł; Kiersztyn, Adam; Pedrycz, Witold

doi:10.1007/s40815-017-0355-5

Cited by 34 publications

(12 citation statements)

References 42 publications

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“…Ferrira et al [69] constructed an evaluation framework for improving the decision-making virtuous cycle of ethical banking practices by applying the Choquet integral. Furthermore, the Choquet integral also has been applied to many areas, such as pattern recognition [33][34][35], selection of alternatives [36][37][38][39], and risk assessment [40,41].…”

Section: Application Of Choquet Integralmentioning

confidence: 99%

Green Supplier Selection Based on Consensus Process and Integrating Prioritized Operator and Choquet Integral

Zhu

2018

Sustainability

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Green supplier selection, as a core part of green supply chain management, has attracted the attention of various researchers in the past decade. Plenty of green supplier selection methods based on multi-criteria group decision-making have been presented in previous literature. However, these approaches ignore the consensus level between the experts, and they rarely consider the priority level among the experts and the interdependent relationship between criteria. To handle these issues, an integrated framework of green supplier selection under the hesitant fuzzy linguistic (HFL) environment was established. In this framework, the preference information expressed by HFL was transformed into the hesitant 2-tuple linguistic (H2TL). Then, the consensus process was introduced into the green supplier selection process to increase the consensus level between experts. The H2TL prioritized operator and Choquet integral operator were respectively applied to construct the group decision matrix and derive the ranking order of green suppliers. Finally, we used a numerical example to demonstrate the validity and applicability of the presented framework and implemented a comparative analysis to highlight the features of the presented method.

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Section: Application Of Choquet Integralmentioning

confidence: 99%

Green Supplier Selection Based on Consensus Process and Integrating Prioritized Operator and Choquet Integral

Zhu

2018

Sustainability

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“…Its use as an integral with regard to fuzzy measures was then introduced by Hohle [60] and, it was later rediscovered by Murofushi and Sugeno [61, 62]. This integral, as an n-place operator, has been used in several works [18–23], in order to fuse information when interrelated criteria are accounted for. Formally, let a finite set and be a fuzzy measure on , then the Choquet integral of with respect to is a function : according to the next expression:where denotes a permutation on , so that .…”

Section: Background Of Fuzzy Measures and Choquet Integralmentioning

confidence: 99%

“…OWA-like functions), due to the fact that they coincide when the measure used is additive. The Choquet integral has been successfully used in several applications, such as: face recognition [18], rule-based systems [19], data mining [20] and decision-making [21–23]. The success of the Choquet integral as aggregation operator is due to, as already pointed out, its ability of including dependency among criteria by means of a fuzzy measure [14, 15].…”

Section: Introductionmentioning

confidence: 99%

Choquet integral-based fuzzy molecular characterizations: when global definitions are computed from the dependency among atom/bond contributions (LOVIs/LOEIs)

et al. 2018

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BackgroundSeveral topological (2D) and geometric (3D) molecular descriptors (MDs) are calculated from local vertex/edge invariants (LOVIs/LOEIs) by performing an aggregation process. To this end, norm-, mean- and statistic-based (non-fuzzy) operators are used, under the assumption that LOVIs/LOEIs are independent (orthogonal) values of one another. These operators are based on additive and/or linear measures and, consequently, they cannot be used to encode information from interrelated criteria. Thus, as LOVIs/LOEIs are not orthogonal values, then non-additive (fuzzy) measures can be used to encode the interrelation among them.ResultsGeneral approaches to compute fuzzy 2D/3D-MDs from the contribution of each atom (LOVIs) or covalent bond (LOEIs) within a molecule are proposed, by using the Choquet integral as fuzzy aggregation operator. The Choquet integral-based operator is rather different from the other operators often used for the 2D/3D-MDs calculation. It performs a reordering step to fuse the LOVIs/LOEIs according to their magnitudes and, in addition, it considers the interrelation among them through a fuzzy measure. With this operator, fuzzy definitions can be derived from traditional or recent MDs; for instance, fuzzy Randic-like connectivity indices, fuzzy Balaban-like indices, fuzzy Kier–Hall connectivity indices, among others. To demonstrate the feasibility of using this operator, the QuBiLS-MIDAS 3D-MDs were used as study case and, as a result, a module was built into the corresponding software to compute them (http://tomocomd.com/qubils-midas). Thus, it is the only software reported in the literature that can be employed to determine Choquet integral-based fuzzy MDs. Moreover, regression models were created on eight chemical datasets. In this way, a comparison between the results achieved by the models based on the non-fuzzy QuBiLS-MIDAS 3D-MDs with regard to the ones achieved by the models based on the fuzzy QuBiLS-MIDAS 3D-MDs was made. As a result, the models built with the fuzzy QuBiLS-MIDAS 3D-MDs achieved the best performance, which was statistically corroborated through the Wilcoxon signed-rank test.ConclusionsAll in all, it can be concluded that the Choquet integral constitutes a prominent alternative to compute fuzzy 2D/3D-MDs from LOVIs/LOEIs. In this way, better characterizations of the compounds can be obtained, which will be ultimately useful in enhancing the modelling ability of existing traditional 2D/3D-MDs.Electronic supplementary materialThe online version of this article (10.1186/s13321-018-0306-7) contains supplementary material, which is available to authorized users.

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“…A recent survey paper provides, an overview on using soft biometric (e.g., gender) as complementary information to primary biometrics (e.g., face) in order to enhance the performance of the person identification system [19]. Some researchers have applied multimodal biometrics systems to address related problems, such as action recognition [20], speaker identification [21], and face recognition [22].…”

Section: Related Studiesmentioning

confidence: 99%

A Multi-Modal Person Recognition System for Social Robots

Al-Qaderi

Rad

2018

Applied Sciences

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The paper presents a solution to the problem of person recognition by social robots via a novel brain-inspired multi-modal perceptual system. The system employs spiking neural network to integrate face, body features, and voice data to recognize a person in various social human-robot interaction scenarios. We suggest that, by and large, most reported multi-biometric person recognition algorithms require active participation by the subject and as such are not appropriate for social human-robot interactions. However, the proposed algorithm relaxes this constraint. As there are no public datasets for multimodal systems, we designed a hybrid dataset by integration of the ubiquitous FERET, RGB-D, and TIDIGITS datasets for face recognition, person recognition, and speaker recognition, respectively. The combined dataset facilitates association of facial features, body shape, and speech signature for multimodal person recognition in social settings. This multimodal dataset is employed for testing the algorithm. We assess the performance of the algorithm and discuss its merits against related methods. Within the context of the social robotics, the results suggest the superiority of the proposed method over other reported person recognition algorithms.

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Generalized Choquet Integral for Face Recognition

Cited by 34 publications

References 42 publications

Green Supplier Selection Based on Consensus Process and Integrating Prioritized Operator and Choquet Integral

Green Supplier Selection Based on Consensus Process and Integrating Prioritized Operator and Choquet Integral

Choquet integral-based fuzzy molecular characterizations: when global definitions are computed from the dependency among atom/bond contributions (LOVIs/LOEIs)

A Multi-Modal Person Recognition System for Social Robots

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