Journal of Intelligent & Fuzzy Systems - Volume 33, issue 6

Authors: Nadjafi, Mohammad | Farsi, M.A. | Jabbari Khamnei, H.

Article Type: Research Article

Abstract: One of the most important methods in reliability analysis is Fault Tree Analysis that over time it has been extended into the more versatile method of Dynamic Fault Tree (DFT) Analysis. In most cases, exact evaluation of system reliability using fault tree due to component limited data especially owning to failure rates, is difficult. In this paper, the Fuzzy Time-To-Failure (FTTF) model based on Fuzzy Lower and Upper (L-U) bounds is developed to evaluate the reliability of system and solve aforementioned problems. This process completed by proposed Fuzzy Monte Carlo Simulation (FMCS) throughout the preferred operational time and uses the …actual types of fuzzy failure distribution. FMCS is done based on Lower-Upper bounds for each event failure rates. Using fuzzy arithmetic, events FTTF are generated, and then, the Top Event failure curve and the reliability profile of the system are evaluated. The results show that the proposed method not only is feasible and powerful but can also accurate more than the other probabilistic and Possibilistic techniques. Finally, this model is implemented in an Emergency Detection System (EDS) which is a useful system in aerospace and space applications. Show more

Keywords: Reliability analysis, Emergency Detection System, Fuzzy Time-to-Failure, Fuzzy L-U bounds, Fuzzy-Monte Carlo Simulation

DOI: 10.3233/JIFS-161781

Citation: Journal of Intelligent & Fuzzy Systems, vol. 33, no. 6, pp. 3275-3286, 2017

Authors: Feng, Sen | Xu, Jiucheng | Xu, Tianhe

Article Type: Research Article

Abstract: Among the large amount of genes presented in microarray gene expression data, only a small fraction of them is effective for performing a certain diagnostic test. It is for this reason that reducing the dimensionality of gene expression data is imperative. An improved Self-organizing map method based on neighborhood mutual information correlation measure is proposed, and then combines with Particle swarm optimization method to construct an efficient gene selection algorithm, denoted by ICMSOM-PSO. Experimental results show that the proposed method can reduce the dimensionality of the dataset, and confirm the most informative gene subset and improve classification accuracy.

Keywords: Self-organizing map, neighborhood mutual information, particle swarm optimization, gene selection

DOI: 10.3233/JIFS-161887

Citation: Journal of Intelligent & Fuzzy Systems, vol. 33, no. 6, pp. 3287-3294, 2017

Authors: Zou, Zhengxing | Zhang, Qiang

Article Type: Research Article

Abstract: Based on the extended generalized Hukuhara difference, we introduce and study a new Shapley type of value for cooperative games with fuzzy payoffs. We first propose and characterize a new interval Shapley value for interval-valued cooperative games. Those results are then extended to cooperative games with fuzzy payoffs, and the generalized Shapley function is introduced. We characterize the generalized Shapley function using the properties of generalized efficiency, generalized dummy player, generalized symmetry, and generalized additivity. At the same time, the necessary and sufficient condition for the existence of the generalized Shapley function is given. This study also shows that the …generalized Shapley function is a generalization of the Hukuhara-Shapley function defined by Yu and Zhang [22 ]. Meanwhile, an arbitrary cooperative game with payoffs of center triangular fuzzy numbers has a unique generalized Shapley function. Show more

Keywords: Cooperative game, Shapley value, generalized Hukuhara difference, fuzzy payoffs

DOI: 10.3233/JIFS-161890

Citation: Journal of Intelligent & Fuzzy Systems, vol. 33, no. 6, pp. 3295-3308, 2017

Authors: Zhang, Zhiming

Article Type: Research Article

Abstract: The purpose of this study is to develop a hesitant fuzzy linguistic TOPSIS (The technique for order preference by similarity to ideal solution) method with a possibility-based comparison approach for addressing multi-criteria decision-making (MCDM) problems within the environment of hesitant fuzzy linguistic term sets (HFLTSs). This paper firstly analyses the existing comparison methods for HFLTSs and develops a new possibility degree formula which can address the issues in the previous ones. Then, based on the possibilities of the HFLTS binary relations, this paper defines the possibility-based outranking index to determine hesitant fuzzy linguistic positive ideal and negative ideal solutions. Subsequently, …this paper introduces the concept of possibility-based comparison indices to establish a possibility-based closeness coefficient of each alternative relative to the ideal solutions. Based on a possibility-based comparison approach with the ideal solutions, this paper develops a hesitant fuzzy linguistic TOPSIS method for handling MCDM problems in which both the evaluative ratings of alternatives and the importance weights of criteria are expressed by HFLTSs. Finally, a numerical example is furnished to verify the feasibility and practicality of the proposed method and a comparative analysis with the existing methods is provided to illustrate the effectiveness and advantages of the proposed method. Show more

Keywords: Multi-criteria decision-making, hesitant fuzzy linguistic terms set, TOPSIS, possibility-based closeness coefficient, possibility-based comparison approach

DOI: 10.3233/JIFS-161971

Citation: Journal of Intelligent & Fuzzy Systems, vol. 33, no. 6, pp. 3309-3322, 2017

Authors: Fahmi, Aliya | Abdullah, Saleem | Amin, Fazli | Siddiqui, Nasir | Ali, Asad

Article Type: Research Article

Abstract: In this paper, we introduce the concept of triangular cubic fuzzy numbers. We discuss some basic operational laws of triangular cubic fuzzy numbers and then develop triangular cubic fuzzy weighted average (TCFWA) operator. We also define crisp weighted possibility means of TCFNs and hamming distance between TCFNs. Furthermore, we extend the classical VIKOR method to solve the MCDM method based on triangular cubic fuzzy numbers. The new ranking method for TCFNs is used to rank the alternatives. Finally, an illustrative example is given to verify and demonstrate the practicality and effectiveness of the proposed method.

Keywords: The crisp weighted possibility means of TCFNs, weighted average operator of TCFNs, hamming distance for TCFNs, A MCDM method, VIKOR method using TCFNS

DOI: 10.3233/JIFS-162007

Citation: Journal of Intelligent & Fuzzy Systems, vol. 33, no. 6, pp. 3323-3337, 2017

Authors: Khan, Asghar | Izhar, Muhammad | Khalaf, Mohammed M.

Article Type: Research Article

Abstract: In order to lay a foundation for providing a soft algebraic tool in considering many problems that contain uncertainties, the notion of doubleframed soft set is introduced and applications in LA-semigroups are discussed. Double-framed soft set is a generalization of the theory of union and intersectional soft sets. In this article, we introduce the concept of double-framed soft set in LA-semigroups and study double-framed soft LA-semigroups (resp., left, right or two-sided) ideals (briefly, DFS left (right), DFS two-sided, and DFS bi-) ideals of an LA-semigroup S over an initial universe set U . The respective examples of these notions …are investigated and the related properties are discussed. The basic properties of these notions are studied and characterizations of these concepts are discussed in detail. Show more

Keywords: DFS-sets, DFS LA-semigroups, DFS ideals, DFS-set product, uni-int DFS-sets, DFS including set

DOI: 10.3233/JIFS-162058

Citation: Journal of Intelligent & Fuzzy Systems, vol. 33, no. 6, pp. 3339-3353, 2017

Authors: Hong, Jie

Article Type: Research Article

Abstract: Although electroencephalography (EEG) brain-computer interface (BCI) has been quite successful, multi-command control is still one of the key issues for external applications. Multimodal BCI represents the direction of dealing with this problem. In our study, five healthy subjects performed the experiment cooperatively. EEG and electromyography (EMG) were recorded synchronously. For individual EEG, after Laplacian filtering, the C3 and C4 channels were determined. Then, the EEG was decomposed into the third layer by wavelet packet transform (WPT), and the average, sub-band energy and mean square deviation were calculate at particular nodes. Finally, these features were fed into support vector machine (SVM) …either singly or in combination, and the EEG classification accuracy was obtained. For individual EMG, the mean absolute value (MAV) and root mean square (RMS) were calculated. Then, probabilistic neural network (PNN) was employed, and the EMG classification accuracy was also obtained. Different mental and gesture tasks were combined to represent multi-class and these commands were ranked depending on their performance. The results showed that the subjects were able to obtain multi-class with satisfactory performance by multimodal BCI. The proposed interface could support multi-command control for external applications. Show more

Keywords: Multimodal brain-computer interface (BCI), multi-command control, multi-class, electroencephalography (EEG), electromyography (EMG)

DOI: 10.3233/JIFS-162104

Citation: Journal of Intelligent & Fuzzy Systems, vol. 33, no. 6, pp. 3355-3362, 2017

Authors: Zhong, Yu | Yang, Shao-Jun | Shi, Fu-Gui

Article Type: Research Article

Abstract: In this paper, the notion of subuniverses in the theory of universal algebras is generalized to L -fuzzy setting, which is called L -subuniverses. Some characterizations and representations of L -subuniverses are given. What is more, the relationship between L -subuniverses and L -convexities is discussed when L is a complete Heyting algebra. It is shown that there exists a one-to-one correspondence between L -subuniverses with the smallest L -subset and induced L -convexities.

Keywords: Convex structure, L-subuniverse, L-convexity, induced L-convexity

DOI: 10.3233/JIFS-162136

Citation: Journal of Intelligent & Fuzzy Systems, vol. 33, no. 6, pp. 3363-3372, 2017

Authors: Yang, Liming | Zhang, Siyun

Article Type: Research Article

Abstract: Extreme learning machine (ELM) has demonstrated great potential in machine learning and data mining. Smoothing strategy is an important technology for continuous optimizations. In this work, we apply a smoothing technique to replace the hinge loss function by an accurate smooth approximation. This will allow us to solve ELM as an unconstrained minimization problem directly. We term this reformulated problem as smooth ELM (SELM). A Newton-Armijo algorithm is used to solve the proposed SELM, and the resulting algorithm converges globally and quadratically. The proposed SELM with fast running speed has less decision variables and can better deal with nonlinear problems …than the existing smooth support vector machine. Numerical experiments on various types of datasets including two-class datasets and multi-class datasets demonstrate that the speed of SELM is much faster than that of the existing ELM models. And compared with other popular algorithms of support vector machine and ELM, the proposed SELM achieves better or similar generalization. These demonstrate the effectiveness and fast speed of the algorithm. Show more

Keywords: Extreme learning machine, neural networks, smoothing technique, Newton-Armijo algorithm

DOI: 10.3233/JIFS-162162

Citation: Journal of Intelligent & Fuzzy Systems, vol. 33, no. 6, pp. 3373-3381, 2017

Authors: Geng, Yushui | Liu, Peide | Teng, Fei | Liu, Zhengmin

Article Type: Research Article

Abstract: In this paper, with respect to multiple criteria group decision making (MCGDM) problems in which criteria values are expressed by Pythagorean fuzzy uncertain linguistic variables (PFULVs), we propose an extended TODIM method. Firstly, we define the Pythagorean fuzzy uncertain linguistic set, and propose the operational laws, Hamming distance, score function and accuracy function of PFULVs. Then an extended TODIM method is presented to solve the MCGDM problems under the Pythagorean fuzzy uncertain linguistic environment, and a numerical example with the Pythagorean fuzzy uncertain linguistic information is given to show the effectiveness of the proposed method. Further, we analyze the influence …of the different parameter on the MCGDM, and test the practicality of the proposed method. Show more

Keywords: Multiple criteria group decision making, Pythagorean fuzzy uncertain linguistic set, TODIM

DOI: 10.3233/JIFS-162175

Citation: Journal of Intelligent & Fuzzy Systems, vol. 33, no. 6, pp. 3383-3395, 2017