An efficient centroid type-reduction strategy for general type-2 fuzzy logic system

Liu, Feilong

doi:10.1016/j.ins.2007.11.014

Cited by 344 publications

(237 citation statements)

References 14 publications

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“…In generalized Type 2 fuzzy sets the uncertainty is represented in volume and is able to handle greater uncertainty in the system. Some generalized Type 2 advances in the literature are presented in [36][37][38][39][40].…”

Section: Fuzzy Logic Systemsmentioning

confidence: 99%

Fuzzy Dynamic Parameter Adaptation in the Harmony Search Algorithm for the Optimization of the Ball and Beam Controller

Peraza

Valdez

Castro

et al. 2018

Advances in Operations Research

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This paper presents a method for dynamic parameter adaptation in the harmony search algorithm (HS) based on fuzzy logic. The adaptation is performed using Type 1 (FHS), interval Type 2 (IT2FHS), and generalized Type 2 (GT2FHS) fuzzy systems as the number of improvisations or iterations advances, achieving a better intensification and diversification. The main contribution of this work is the dynamic parameter adaptation using different types of fuzzy systems in the harmony search algorithm applied to optimization of the membership functions for a benchmark control problem; in this case it is focused on the ball and beam controller. Experiments are presented with the HS, FHS, IT2FHS, and GT2FHS with noise (uniform random number) and without noise for the controller, and the following error metrics are obtained: ITAE, ITSE, IAE, ISE, and RMSE, to validate the efficacy of the proposed methods.

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Section: Fuzzy Logic Systemsmentioning

confidence: 99%

Fuzzy Dynamic Parameter Adaptation in the Harmony Search Algorithm for the Optimization of the Ball and Beam Controller

Peraza

Valdez

Castro

et al. 2018

Advances in Operations Research

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“…However, the equivalence between alpha-plane and zSlices representations has been proven in [80]. Accordingly, LGT2 FSs can also be represented using alpha-planes introduced by Liu [87] and Mendel et al [79].…”

Section: A Mathematical Definition Of the Lgt2 Fssmentioning

confidence: 99%

A Linear General Type-2 Fuzzy-Logic-Based Computing With Words Approach for Realizing an Ambient Intelligent Platform for Cooking Recipe Recommendation

Bilgin

Hagras

Helvert

et al. 2016

IEEE Trans. Fuzzy Syst.

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Abstract-This paper addresses the need to enhance transparency in Ambient Intelligent Environments by developing more natural ways of interaction, which allow the users to communicate easily with the hidden networked devices rather than embedding obtrusive tablets and computing equipment throughout their surroundings. Ambient Intelligence vision aims to realize digital environments that adapt to users in a responsive, transparent and context aware manner in order to enhance users' comfort. It is therefore appropriate for employing the paradigm of 'Computing With Words' (CWWs), which aims to mimic the ability of humans to communicate transparently and manipulate perceptions via words. One of the daily activities that would increase the comfort levels of the users (especially people with disabilities) is cooking and performing tasks in the kitchen. Existing approaches on food preparation, cooking, and recipe recommendation stress on healthy eating and balanced meal choices while providing limited personalization features through the use of intrusive user interfaces. Herein, we present an application, which transparently interacts with users based on a novel CWWs approach in order to predict the recipe's difficulty level and to recommend an appropriate recipe depending on the user's mood, appetite and spare time. The proposed CWWs framework is based on Linear General Type-2 (LGT2) Fuzzy Sets, which linearly quantify the linguistic modifiers in the third dimension in order to better represent the user perceptions while avoiding the drawbacks of type-1 and interval type-2 fuzzy sets. The LGT2 based CWWs framework can learn from user experiences and adapt to them in order to establish more natural human-machine interaction. improvement when general type-2 fuzzy sets are used than when interval type-2 fuzzy sets are used instead. The quantitative and qualitative analysis both show the success of the system in providing a natural interaction with the users for recommending food recipes where the quantitative analysis shows the high statistical correlation between the system output and the users' feedback; and the qualitative analysis presents social science evaluation confirming the strong user acceptance of the system. Index Terms-ambient intelligence, computing with words, general type-2 fuzzy sets I. INTRODUCTIONhe recent years have witnessed a rapid increase in the miniaturization of computers which enabled to embed computing throughout our spaces in familiar objects such as home appliances (e.g. washing machines, refrigerators, etc.), portable devices (e.g. mobile phones, tablets, etc.), cars, etc. In addition, the advances in communications allowed such devices to be networked and connected to the Internet. Among the highlights of the connected and miniaturized devices bring to real life is the opportunity of customization and therefore personalization. Lately, it is getting more important to deliver personalized content in areas such as food planning which is becoming an important personal issue that affects the ...

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“…In 2008 Liu [9,22] proposed the α-planes representation. Via this technique a generalised type-2 fuzzy set is decomposed into a set of α-planes, which are horizontal slices akin to interval type-2 fuzzy sets.…”

Section: Definition 9 (Stratum [20]) Let T Be the Trs Of A Discretisementioning

confidence: 99%

“…Strategies have been developed that reduce the computational complexity of all stages of the generalised type-2 FIS [7,8,9,10]. We believe that the research presented in this paper will lead to further complexity reducing techniques.…”

Section: Introductionmentioning

confidence: 99%

The Structure of the Type-Reduced Set of a Continuous Type-2 Fuzzy Set

Greenfield¹,

Chiclana²

2013

Proceedings of the 8th Conference of the European Society for Fuzzy Logic and Technology

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This paper is concerned with the structure of the type-reduced set (TRS) of the continuous type-2 fuzzy set, in both its interval and generalised forms. In each case the TRS structure is approached by first investigating the discretised set. The TRS of a continuous interval type-2 fuzzy set is shown to be a continuous straight line, and that of a generalised type-2 fuzzy set, a continuous, convex curve.

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An efficient centroid type-reduction strategy for general type-2 fuzzy logic system

Cited by 344 publications

References 14 publications

Fuzzy Dynamic Parameter Adaptation in the Harmony Search Algorithm for the Optimization of the Ball and Beam Controller

Fuzzy Dynamic Parameter Adaptation in the Harmony Search Algorithm for the Optimization of the Ball and Beam Controller

A Linear General Type-2 Fuzzy-Logic-Based Computing With Words Approach for Realizing an Ambient Intelligent Platform for Cooking Recipe Recommendation

The Structure of the Type-Reduced Set of a Continuous Type-2 Fuzzy Set

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