Journal of Intelligent & Fuzzy Systems - Volume 28, issue 5

Authors: Truong, Tung Khac | Li, Kenli | Xu, Yuming | Ouyang, Aijia | Nguyen, Tien Trong

Article Type: Research Article

Abstract: This paper proposes a new artificial chemical reaction optimization algorithm with a greedy strategy to solve 0-1 knapsack problem. The artificial chemical reaction optimization (ACROA) inspiring the chemical reaction process is used to implement the local and global search. A new repair operator integrating a greedy strategy and random selection is used to repair the infeasible solutions. The experimental results have proven the superior performance of ACROA compared to genetic algorithm, and quantum-inspired evolutionary algorithm.

Keywords: Artificial chemical reaction optimization, Combinatorial, Greedy, 0-1 knapsack problem

DOI: 10.3233/IFS-141500

Citation: Journal of Intelligent & Fuzzy Systems, vol. 28, no. 5, pp. 2179-2186, 2015

Authors: Long, Zuqiang | Xu, Yuebing | Li, Long

Article Type: Research Article

Abstract: The fuzzy systems with variable universe of discourse (VUD) have received increasing attention due to their fine control performance. VUD fuzzy systems are ones in which universes of discourse can be online tuned by means of a set of nonlinear contraction–expansion factors. One advantage of the VUD fuzzy systems lies in that higher control accuracy can be obtained without the aid of integral elements. Another advantage of the VUD fuzzy systems is that the number of fuzzy rules can be reduced significantly for a given application, compared with the fuzzy system based on fixed universes of discourse. Utilizing the multivariable …Taylor’s expansion formula, it is proven that the VUD fuzzy system possesses higher approximating power as the input variables approach the equilibrium point. The approximation error converges to zero when the input variables reach the equilibrium point. It is also proven that the same approximating power can be obtained even when two fuzzy sets are applied on any universe of discourse. In addition, a sufficient condition is given for the VUD fuzzy systems as approximators for any given accuracy. Two examples show that the approximating capability of the VUD fuzzy systems can significantly outperform the fuzzy systems with fixed universes of discourse and that the shape of membership functions can influence the approximation effect. This paper provides researchers with some explanations why the VUD fuzzy systems hold the two advantages mentioned above from the standpoint of the functions approximation theories. Show more

Keywords: Fuzzy systems, function approximation, variable universes of discourse, universal approximator, contraction–expansion factors

DOI: 10.3233/IFS-141501

Citation: Journal of Intelligent & Fuzzy Systems, vol. 28, no. 5, pp. 2187-2198, 2015

Authors: Dookhitram, Kumar | Lollchund, Roddy | Tripathi, Rakesh Kumar | Bhuruth, Muddun

Article Type: Research Article

Abstract: The Sylvester equation arises in many application areas, for instance process and system control, and in the fuzzy setting, solution of this equation has been considered only in the case when the right-hand side matrix is a fuzzy matrix. This paper introduces the fully fuzzy Sylvester matrix equation A ˜ X ˜ - X ˜ B ˜ = C ˜ , where the fuzzy matrices A ˜ , B ˜ and C ˜ are of order n , m and n  × m , respectively. The …fuzzy matrix X ˜ is the sought after solution. A two-step scheme is developed for the solution of this system. The first step solves the 1-cut of the problem and the second step assigns unknown symmetric spreads to each row of the 1-cut expansions. The symmetric spreads are obtained by solving 2mn linear equations, depending on whether the coefficient matrices are both positive, or both negative, or a mixture of positive and negative. We show that the spreads are equivalent to zero when the membership function is one for both the coefficient matrices and the right-hand side matrix. Examples are given to illustrate the merit of the proposed procedure for determining a bounded solution to the fully fuzzy linear Sylvester equation. Show more

Keywords: Sylvester matrix equations, fuzzy sets, 1-cut expansion, bounded symmetric solution

DOI: 10.3233/IFS-141502

Citation: Journal of Intelligent & Fuzzy Systems, vol. 28, no. 5, pp. 2199-2211, 2015

Authors: Tabatabaei, Sajad | Askari, Mohammad-Reza

Article Type: Research Article

Abstract: Optimal Fuel Cell (FC) allocation and Shunt Capacitor Placement (SCP) are two significant and precious strategies that can improve the system performance greatly. In order to make use of these two useful strategies efficiently, they should be investigated in one single framework simultaneously. This paper aims to solve the optimal allocation and sizing of FC and SCP problems for reducing the total system costs. In order to make the analysis practical, the uncertainties of the active and reactive loads are modeled using the probabilistic load flow based on point estimate method (PEM). In this way, each random variable is replaced …by its appropriate probability density function to capture the uncertainty effects in the analysis. The problem investigated is a kind of discrete nonlinear and non-convex optimization problem that requires a powerful optimizer to escape from the several local optima. In this regard, this work suggests a new optimization method based on Krill Herd (KH) algorithm to solve the problem deeply. A new self-adaptive modification method is also proposed to improve the total search ability of the algorithm. The feasibility and satisfying performance of the proposed method is examined on the IEEE 69-bus test system. Show more

Keywords: Optimal distribution feeder reconfiguration, optimal capacitor placement, Point Estimate Method (PEM), uncertainty, Self Adaptive Modified Krill Herd (SAMKH)

DOI: 10.3233/IFS-141503

Citation: Journal of Intelligent & Fuzzy Systems, vol. 28, no. 5, pp. 2213-2224, 2015

Authors: Wang, Ying | Peng, Xinguang | Bian, Jing

Article Type: Research Article

Abstract: In this paper, we study on the multiple attribute decision making problems to evaluate the security of information system authentication scheme with the fuzzy number intuitionistic fuzzy information. We first introduce some operations on the fuzzy number intuitionistic fuzzy sets. Then, we further develop the fuzzy number intuitionistic fuzzy Hamacher weighted geometric (FNIFHWG) operator, fuzzy number intuitionistic fuzzy Hamacher ordered weighted geometric (FNIFHOWG) operator and fuzzy number intuitionistic fuzzy Hamacher hybrid geometric (FNIFHHG) operator. Then, we apply the fuzzy number intuitionistic fuzzy Hamacher hybrid geometric (FNIFHHG) operator to deal with multiple attribute decision making with the fuzzy number intuitionistic fuzzy …information. Finally, to testify the effectiveness of the proposed method, we present an example to evaluate the security of information system authentication scheme with the fuzzy number intuitionistic fuzzy information. Show more

Keywords: Multiple attribute decision making (MADM), fuzzy number intuitionistic fuzzy sets, Hamacher geometric aggregation operators, fuzzy number intuitionistic fuzzy Hamacher hybrid geometric (FNIFHHG) operator, security authentication, information system

DOI: 10.3233/IFS-141504

Citation: Journal of Intelligent & Fuzzy Systems, vol. 28, no. 5, pp. 2225-2232, 2015

Authors: Deli, Irfan | Broumi, Said

Article Type: Research Article

Abstract: In this paper, we have firstly redefined the notion of neutrosophic soft set and its operations in a new way to handle the indeterminate information and inconsistent information which exists commonly in belief systems. Then, we defined neutrosophic soft matrix and their operators which are more functional to make theoretical studies and application in the neutrosophic soft set theory. The matrix is useful for storing a neutrosophic soft set in computer memory which are very useful and applicable. We finally construct a decision making method, called NSM-decision making, based on the neutrosophic soft sets.

Keywords: Soft sets, soft matrices, neutrosophic sets, neutrosophic soft sets, neutrosophic soft matrix, NSM-decision making

DOI: 10.3233/IFS-141505

Citation: Journal of Intelligent & Fuzzy Systems, vol. 28, no. 5, pp. 2233-2241, 2015

Authors: Tantawy, Osama A. | El-Sheikh, Sobhy A. | Majeed, Rasha N.

Article Type: Research Article

Abstract: In this note we show that some results introduced in [3 ] are incorrect. These results were first introduced in fuzzy topological spaces [1, 2 ], and very recently generalized into fuzzy bitopological spaces [3 ]. We give some counter examples to confirm our claim.

Keywords: Fuzzy bitopological spaces, fuzzy filter, separation axioms

DOI: 10.3233/IFS-141506

Citation: Journal of Intelligent & Fuzzy Systems, vol. 28, no. 5, pp. 2243-2244, 2015

Authors: Pan, Xiaodong | Xu, Yang

Article Type: Research Article

Abstract: A lifting inference rule is a many-valued inference rule that manipulates with evaluated formulas, it has played an important role in Pavelka-style fuzzy propositional logic. In this paper, we consider the algebraic characterization of Pavelka-style fuzzy logic deductive system based on lifting rules in MV-algebras from the algebraic semantical point of view, which can be a tool to analyze the provability in fuzzy logic with evaluated syntax based on the lifting inference rules. We introduce the notions of lifting quasi-filter and strong lifting quasi-filter in MV-algebras, they are the algebraic abstractions of the sets of provable formulae which are closed …with respect to lifting inference rules in the corresponding formal logic system, and some important properties are presented. We also characterize two kinds of extended lifting quasi-filters and several kinds of generated lifting quasi-filters, and prove that the class F α  (L ) of all lifting quasi-filters with respect to α is an MV-algebra, the class Fs α  (L ) of all strong lifting quasi-filters with respect to α is a complete Heyting algebra. Show more

Keywords: Lifting inference rule, lifting quasi-filter, strong lifting quasi-filter, MV-algebra, fuzzy logic

DOI: 10.3233/IFS-141507

Citation: Journal of Intelligent & Fuzzy Systems, vol. 28, no. 5, pp. 2245-2255, 2015

Authors: Zhai, Junhai | Wang, Jinggeng | Hu, Wenxiang

Article Type: Research Article

Abstract: This paper proposed a large scale classification approach, which combines OSELM (Online Sequential Extreme Learning Machine) classifiers with fuzzy integral. The proposed method consists of three steps, (1) Firstly the component OSELM classifiers are sequentially trained on subsets of a large data set, in the process of training component classifiers, the instances previously used will be excluded from training the following component classifiers. (2) The trained component classifiers are combined with fuzzy integral. (3) The aggregation learning system is used for classifying the unseen samples. We compared our method with two other state-of-the-art large data sets classification methods, which are …DTSVM (Decision Tree Support Vector Machine) and CVM (Core Vector Machine). The experimental results show that the proposed method outperforms DTSVM and CVM. Moreover the proposed approach can overcome instability of OSELM in different trials of simulations. Show more

Keywords: Extreme learning machine, ensemble, sequential learning, fuzzy integral, large scale classification

DOI: 10.3233/IFS-141508

Citation: Journal of Intelligent & Fuzzy Systems, vol. 28, no. 5, pp. 2257-2268, 2015

Authors: Chaira, Tamalika

Article Type: Research Article

Abstract: This paper presents a fuzzy morphological approach to detect the edges of real time images in order to preserve their features. Edge detection on these kinds of images is a difficult task where the edges/regions are vaguely visible. Especially, when these images are mixed with noise, detection becomes much more difficult. In this method, real time images are considered to be intuitionistic as the structures are not clear. Non membership degrees of an intuitionistic fuzzy image are computed using Sugeno type intuitionistic fuzzy generator. Then it uses triangular operators (product t-norms and conorms, Hamacher and Dombi t-norms and t-conorms) for …computing morphological dilation and erosion. The method highlights almost all the edges of both normal (without noise) images and noisy images and the gradient images almost do not contain noise. Experiments have been performed qualitatively and quantitatively on several medical and human face images using triangular operators (product t-norms and conorms, Hamacher and Dombi t- norms and t-conorms) and the results are compared with gradient images using i) fuzzy morphology with Lukasiewicz t-norms and t-conorms, ii) fuzzy morphology with product t-norms and t-conorms, iii) median filter based edge detection method, and iii) interval valued fuzzy relation based edge detection method. It is observed that the gradient image using fuzzy morphology with Hamacher t-norm and t-conorm performs better in noisy environment. Show more

Keywords: Atanassov’s intuitionistic fuzzy set, sugeno type generator, hamacher t- norm and t-conorm, product t-norm and t-conorm, interval valued fuzzy relation, fuzzy morphology, gradient image

DOI: 10.3233/IFS-141509

Citation: Journal of Intelligent & Fuzzy Systems, vol. 28, no. 5, pp. 2269-2277, 2015