Journal of Intelligent & Fuzzy Systems - Volume 30, issue 5

Authors: Song, Chunxia | Yang, Lanzhen | Wang, Rui-Sheng

Article Type: Research Article

Abstract: A fuzzy variable is a measurable function from a possibility measure space to a set of real numbers. It is a useful tool to describe the fuzziness of phenomena in a decision making process. In this paper, we focus on investigating the properties of sequences of fuzzy variables. The concepts of uniform integrability, uniform absolute continuity and uniform boundedness are introduced for fuzzy variable sequences, and then the relations among them are discussed. As the applications of these concepts, we also present several convergence theorems for sequences of fuzzy variables by using uniform integrability. Specifically, the relations between uniform integrability …and convergence properties, such as convergence in measure, convergence in mean, and convergence almost surely, are discussed. Show more

Keywords: Fuzzy variables, fuzzy variable sequences, uniform integrability, convergence theorems

DOI: 10.3233/IFS-151868

Citation: Journal of Intelligent & Fuzzy Systems, vol. 30, no. 5, pp. 2953-2961, 2016

Authors: Wan, Jing

Article Type: Research Article

Abstract: The problem for evaluating the design patterns of the Micro-Air vehicle is the multiple attribute decision making problems. In this paper, we introduce the concept of interval-valued intuitionistic uncertain linguistic sets and propose the induced interval-valued intuitionistic uncertain linguistic ordered weighted average (I-IVIULOWA) operator on the basis of the interval-valued intuitionistic uncertain linguistic ordered weighted average (IVIULOWA) operator and IOWA operator. We also study some desirable properties of the proposed operator, such as commutativity, idempotency and monotonicity. Then, we utilize the induced interval-valued intuitionistic uncertain linguistic ordered weighted average (I-IVIULOWA) operator to solve the multiple attribute decision making problems with …interval-valued intuitionistic uncertain linguistic information. Finally, an illustrative example for evaluating the design patterns of the Micro-Air vehicle is given. Show more

Keywords: Multiple attribute decision making, interval-valued intuitionistic uncertain linguistic sets, operational laws, induced interval-valued intuitionistic uncertain linguistic ordered weighted average (I-IVIULOWA) operator, design patterns, Micro-Air vehicle

DOI: 10.3233/IFS-151873

Citation: Journal of Intelligent & Fuzzy Systems, vol. 30, no. 5, pp. 2963-2969, 2016

Authors: Mingai, Li | Shuoda, Guo | Jinfu, Yang | Yanjun, Sun

Article Type: Research Article

Abstract: The Common Spatial Pattern (CSP) algorithm is known to be effective in extracting discriminative features from Motor Imagery electroencephalograms (MI-EEG). However, its performance depends on the frequency bands that relate to brain activities associated with MI tasks. To achieve an accurate classification, several methods have been proposed to determine such a set of frequency bands. However, the existing methods cannot find the multiple subject-specific frequency bands adaptively. Based on the Orthogonal Empirical Mode Decomposition (OEMD), FIR filter and CSP algorithm, a novel feature extraction method called OEFCSP is proposed to effectively perform the autonomous extraction and selection of key individual …spatial discriminative CSP features. A channel selection algorithm is applied to the band-pass filtered EEG signals to reduce the number of channels. Then, each remaining channel of the EEG signal is adaptively decomposed into multiple orthogonal Intrinsic Mode Functions (IMFs) by OEMD, and each IMF is further equally divided into multiple sub-band signals by the band-pass filters. Subsequently, the CSP features are extracted from each sub-band signal and a feature ranking algorithm is employed to reorder the CSP features. Finally, a feature selection and classification algorithm is optimized to classify the selected CSP features. Experiments are conducted on a publicly available dataset, and the experimental results show that OEFCSP yields relatively higher classification accuracies compared to the existing approaches. Show more

Keywords: Motor imagery electroencephalogram, feature extraction, orthogonal empirical mode decomposition, common spatial pattern, adaptability

DOI: 10.3233/IFS-151896

Citation: Journal of Intelligent & Fuzzy Systems, vol. 30, no. 5, pp. 2971-2983, 2016

Authors: Shekarian, Ehsan | Olugu, Ezutah Udoncy | Abdul-Rashid, Salwa Hanim | Kazemi, Nima

Article Type: Research Article

Abstract: This paper extends an economic order quantity (EOQ) model for items with imperfect quality based on two different holding costs and learning considerations. This is one of the few attempts aiming at combining the EOQ model, learning theory, and fuzzy technique in solving an EOQ problem. In present research, a fuzzy model is developed in which both parameters and decision variables are fuzzified and represented by triangular fuzzy numbers (TFNs). The total profit per unit time is obtained using fuzzy arithmetic operations, and then defuzzified by the graded mean integration value (GMIV) method. Using Karush-Kuhn-Tucker (KKT) conditions, the optimal lot …size is obtained from the defuzzified total profit per unit time function. A numerical example for investigating the behavior of the model in a fuzzy situation is presented, and directions for future study are proposed. Besides, the results of the developed fully fuzzy model are compared with some previous ones in the literature. Show more

Keywords: EOQ model, imperfect quality, holding cost, learning effect, triangular fuzzy number, graded mean integration value method

DOI: 10.3233/IFS-151907

Citation: Journal of Intelligent & Fuzzy Systems, vol. 30, no. 5, pp. 2985-2997, 2016

Authors: Ivaz, Karim | Beiranvand, Ali

Article Type: Research Article

Abstract: The main aim of this paper is to find t-best approximation in a fuzzy normed space via the optimization formulation. It is formulated as a constrained minimization problem which is solved by using penalty method. Each penalty is solved by using inexact steepest descent algorithm.

Keywords: t-best approximation, fuzzy normed space, steepest descent

DOI: 10.3233/IFS-151908

Citation: Journal of Intelligent & Fuzzy Systems, vol. 30, no. 5, pp. 2999-3005, 2016

Authors: Lu, Yongzhong | Yan, Danping | Levy, David

Article Type: Research Article

Abstract: Proportional integral derivative (PID) controllers are widely used in industrial control processes since they are simple and easy to implement and act as an effective measure to manipulate the dynamic properties of industry systems. Carrying out the optimal design of the PID controllers is an indispensable constituent of the premises of highly precious control of these systems. In order to solve the problem of designing the parameters of the PID controllers more effectively, we bring forward a chaotic particle swarm optimization (CPSO) approach which we call CP IDSO. In this approach, we introduce the combination of chaotic logistic dynamics, hierarchical …inertia weight, enhancement learning strategy, mutation mechanism and a proportional integral derivative (PID) controller. The chaotic logistic map is used in the substitution of the two random parameters affecting the convergence behavior. The hierarchical inertia weight coefficients are determined in accordance with the present fitness values of the local best positions so as to adaptively expand the particles’ search space. The PID controller and enhancement learning strategy are simultaneously incorporated into standard PSO (SPSO) to efficiently enhance the particles’ local and global search exploration and exploitation abilities. For performance validation of CP IDSO, CP IDSO, together with other algorithms like chaotic catfish PSO (CCPSO), genetic algorithm (GA) and PSO, is exploited to design the parameters of a PID controller in a Kalman filter based cybernetic system. The simulation results illustrate that CP IDSO exhibits better performance than other algorithms and yields the best result in the parameter optimization design of the system. Show more

Keywords: Chaotic logistic dynamics, optimal design, Kalman filter, particle swarm optimization, proportional integral derivative controller

DOI: 10.3233/IFS-152011

Citation: Journal of Intelligent & Fuzzy Systems, vol. 30, no. 5, pp. 3007-3016, 2016

Authors: Cunbin, Li | Jiahang, Yuan | Xia, Feng

Article Type: Research Article

Abstract: In this paper, we give a risky decision-making approach based on prospect theory and cloud theory to solve the wind power investment problem. In this problem, the criteria value of alternative is linguistic assessment information and the criteria’s weights are partially known. Firstly, we use the cloud theory to transfer the linguistic variables into one-dimensional normal cloud model. On the basis of defining the normal cloud model comparison rule and viewing all other alternatives as the reference point, a cloud prospect value function can be defined. Then, the cloud prospect decision-making matrix can be attained. Secondly, to get the optimal …criteria weights, an optimization programming model which satisfies the algorithm of maximizing deviation and the decision makers’ subjective information is enacted. After that, we aggregate the clouds of each alternative as a comprehensive cloud. Then the order of alternatives can be listed by comparing comprehensive cloud of each alternative. Finally, an illustrative example about wind power investment is given and we verify the effectiveness and feasibility of this approach which can be valuable in the wind power investment decision-making. Show more

Keywords: Wind power investment, risky decision making, linguistic assessment, maximizing deviation

DOI: 10.3233/IFS-152014

Citation: Journal of Intelligent & Fuzzy Systems, vol. 30, no. 5, pp. 3017-3023, 2016

Authors: Pang, Bin | Zhao, Yi

Article Type: Research Article

Abstract: Based on a completely distributive De Morgan algebra L , the notion of pointwise L -fuzzifying (quasi-)uniformity is introduced. It is shown that a pointwise L -fuzzifying quasi-uniformity U can induce two L -fuzzifying topologies τ U and η U , and the relations between τ U and η U are investigated.

Keywords: L-fuzzifying topology, pointwise L-fuzzifying (quasi-)uniformity, L-fuzzifying interior, L-fuzzifying closure

DOI: 10.3233/IFS-152019

Citation: Journal of Intelligent & Fuzzy Systems, vol. 30, no. 5, pp. 3025-3031, 2016

Authors: Pang, Bin | Zhao, Yi

Article Type: Research Article

Abstract: Based on a completely distributive lattice L , the concept of L -fuzzy N-convergence structures is introduced. It is shown that the category of L -fuzzy topological spaces can be embedded in the category of L -fuzzy N-convergence spaces. It is also proved the category of (topological) pretopological L -fuzzy N-convergence spaces is isomorphic to the category of (topological) L -fuzzy neighborhood spaces and the former is a bireflective subcategory of the category of L -fuzzy N-convergence spaces.

Keywords: L-fuzzy topology, L-fuzzy N-convergence structure, L-filter, category theory, L-fuzzy neighborhood system

DOI: 10.3233/IFS-152021

Citation: Journal of Intelligent & Fuzzy Systems, vol. 30, no. 5, pp. 3033-3043, 2016