Journal of Intelligent & Fuzzy Systems - Volume 27, issue 1

Authors: Meng, Fanyong | Jiang, Dongmin

Article Type: Research Article

Abstract: In this paper a generalized form called fuzzy games on augmenting systems with fuzzy characteristic functions is introduced, where the player payoffs are fuzzy numbers, and their participation levels are real numbers in [0, 1]. Based on the defined restriction difference on fuzzy numbers, the explicit expression of the Shapley value is provided, and an axiomatic system is researched. Meantime, some properties are discussed. In order to better understand fuzzy games on augmenting systems with fuzzy characteristic functions, we further introduce and investigate fuzzy games on augmenting systems with multilinear extension and fuzzy characteristic functions.

Keywords: Fuzzy games, augmenting system, fuzzy characteristic function, multilinear extension

DOI: 10.3233/IFS-130983

Citation: Journal of Intelligent & Fuzzy Systems, vol. 27, no. 1, pp. 119-129, 2014

Authors: Yu, Dejian | Fang, Lincong

Article Type: Research Article

Abstract: Today, preference relations are among the most common types of expressing decision maker's preference information found in uncertainty research. Intuitionistic multiplicative preference relation can reflect our intuition more objectively and it was proposed by Xia et al. [20] recently. In this article, we first develop some aggregation operators for intuitionistic multiplicative numbers, such as the intuitionistic multiplicative weighted averaging operator and intuitionistic multiplicative ordered weighted averaging operator. Their desirable properties are also investigated in detail. Furthermore, based on the proposed aggregation operators, we further introduce a group decision making method based on intuitionistic multiplicative preference relations. Finally, a real example …about personnel selection is given to illustrate the effectiveness of our method, the numeric comparison between our group decision making method and the ones of Xia et al. [20] are also provided. Show more

Keywords: Intuitionistic multiplicative preference relation, aggregation operator, group decision making

DOI: 10.3233/IFS-130984

Citation: Journal of Intelligent & Fuzzy Systems, vol. 27, no. 1, pp. 131-142, 2014

Authors: Chen, Na | Xu, Zeshui

Article Type: Research Article

Abstract: Interval-valued hesitant fuzzy sets (IVHFSs), as an extension of hesitant fuzzy sets, can account for the membership degrees of an element to a given set having a few different interval values, which provides an intuitionistic description on the differences among decision makers. We derive the properties and relationships of fundamental operations on IVHFSs for Algebraic t-norm and t-conorm. Furthermore, we present the operations based on Archimedean t-norm and t-conorm and investigate their properties. The results obtained using the two types of t-norms and t-conorms could be useful for applications of IVHFSs in information aggregation and decision making.

Keywords: Interval-valued hesitant fuzzy set, interval-valued hesitant fuzzy element, Algebraic and Archimedean t-norms and t-conorms

DOI: 10.3233/IFS-130985

Citation: Journal of Intelligent & Fuzzy Systems, vol. 27, no. 1, pp. 143-158, 2014

Authors: Erginel, Nihal

Article Type: Research Article

Abstract: In a process using monitoring with p-control charts or np-control charts, due to the uncertainty of the attribute data, traditional control charts may be insufficient. In this case, fuzzy control charts are pertinent control techniques used to capture vagueness. Many studies in the literature are configured with transformation techniques at the decision stage, and in this study, fuzzy control charts are constructed using rules. Therefore, fully fuzzy control charts are first introduced for fuzzy $\tilde p$ -control charts based on constant sample size and variable sample size, and fuzzy $n\tilde p$ -control charts are subsequently introduced using decision …rules for the process state conditions. In addition, “rather in control” and “rather out of control” decisions can be considered in monitoring of the process. Show more

Keywords: Fuzzy set theory, fuzzy control charts, fuzzy rule based approach, fuzzy fraction nonconforming control charts, the fuzzy number of nonconforming units control charts

DOI: 10.3233/IFS-130986

Citation: Journal of Intelligent & Fuzzy Systems, vol. 27, no. 1, pp. 159-171, 2014

Authors: Ebrahimnejad, Ali | Verdegay, Jose Luis

Article Type: Research Article

Abstract: There are several methods in the literature to deal with the sensitivity analysis of fuzzy linear programming (FLP) problems. In this paper, the shortcomings of some existing methods are pointed out and to overcome these shortcomings, a new method is proposed to handle the sensitivity analysis of that kind of FLP problems in which the elements of the coefficient matrix of the constraints are represented by real numbers, and the remaining parameters are represented by symmetric trapezoidal fuzzy numbers. To the best of our knowledge, till now there is no method in the literature to deal with the sensitivity analysis …of such FLP problems without converting them to the crisp linear programming problems. The advantages of the proposed method over existing methods are discussed. To illustrate the approach a numerical example is examined by using the proposed method and the obtained results are discussed. The method is easy to understand and to apply for dealing with the sensitivity analysis of the same problems occurring in real life situations. Show more

Keywords: Fuzzy linear programming, fuzzy primal and dual simplex algorithms, sensitivity analysis, symmetric trapezoidal fuzzy numbers

DOI: 10.3233/IFS-130987

Citation: Journal of Intelligent & Fuzzy Systems, vol. 27, no. 1, pp. 173-185, 2014

Authors: Pooranian, Zahra | Shojafar, Mohammad | Javadi, Bahman | Abraham, Ajith

Article Type: Research Article

Abstract: A grid computing environment provides a type of distributed computation that is unique because it is not centrally managed and it has the capability to connect heterogeneous resources. A grid system provides location-independent access to the resources and services of geographically distributed machines. An essential ingredient for supporting location-independent computations is the ability to discover resources that have been requested by the users. Because the number of grid users can increase and the grid environment is continuously changing, a scheduler that can discover decentralized resources is needed. Grid resource scheduling is considered to be a complicated, NP-hard problem because of …the distribution of resources, the changing conditions of resources, and the unreliability of infrastructure communication. Various artificial intelligence algorithms have been proposed for scheduling tasks in a computational grid. This paper uses the imperialist competition algorithm (ICA) to address the problem of independent task scheduling in a grid environment, with the aim of reducing the makespan. Experimental results compare ICA with other algorithms and illustrate that ICA finds a shorter makespan relative to the others. Moreover, it converges quickly, finding its optimum solution in less time than the other algorithms. Show more

Keywords: Grid computing, scheduling, artificial intelligence algorithm, imperialist competition algorithm (ICA), independent task scheduling

DOI: 10.3233/IFS-130988

Citation: Journal of Intelligent & Fuzzy Systems, vol. 27, no. 1, pp. 187-199, 2014

Authors: Andrade, Alexsandra Oliveira | Trindade, Roque Mendes Prado | Maia, Deise Santana | Santiago, Regivan Hugo Nunes | Guerreiro, Ana Maria Guimarães

Article Type: Research Article

Abstract: The fuzzy mathematical morphology extends the binary morphological operators to gray-scale and coloured images using concepts of fuzzy logic. To define the morphological operators of fuzzy erosion and dilatation it is used the implications and conjunctions respectively. This work presents an analysis of some R-implications to verify if the pairs of implications and T-norms (conjunctions) were adjunctions. It was used a fuzzy application developed in the Matlab for implementation and tests with the respectively results.

Keywords: Mathematical morphology, fuzzy mathematical morphology, erosion, dilation, fuzzy implication, fuzzy conjunction, adjunction

DOI: 10.3233/IFS-130989

Citation: Journal of Intelligent & Fuzzy Systems, vol. 27, no. 1, pp. 201-209, 2014

Authors: Mirzaee, Farshid | Paripour, Mahmoud | Yari, Mohammad Komak

Article Type: Research Article

Abstract: In this paper, we present an efficient direct method for solving Fredholm fuzzy integral equation of the second kind based on hat functions. The method is based on new vector forms for representation of hat functions and its operational matrix. We have not used any integration, so all calculations can be easily implemented. Moreover, the convergence of the proposed method is proved. Finally, illustrative examples are included to show accuracy and efficiency of the proposed method.

Keywords: Fuzzy number, linear Fredholm fuzzy integral equation, hat functions

DOI: 10.3233/IFS-130990

Citation: Journal of Intelligent & Fuzzy Systems, vol. 27, no. 1, pp. 211-220, 2014

Authors: Zhang, Xiaolu | Xu, Zeshui

Article Type: Research Article

Abstract: In general, weights of experts play a very important role in multi-attribute group decision-making (MAGDM), how to objectively determine experts' weights is an interesting research topic. Recently, many corresponding methods have been proposed to derive experts' weights, but none of them simultaneously capture the decision information from both the ranking and magnitude two aspects. This paper presents a novel approach for determining weights of experts in intuitionistic fuzzy group decision making based on consistency maximization by simultaneously considering the ranking and magnitude of decision information. The main contributions of this paper are threefold: (1) from the perspective of the ranking …of decision information, the group ranking consistency (GRC) index is defined to measure the consistency between each individual decision and the ideal decision of group; (2) from the perspective of the magnitude of decision information, the group assessment consistency (GAC) index is also defined for measuring the consistency between each individual decision and the ideal decision of group; (3) a bi-objective linear programming model to determine the experts' weights is constructed on basis of the idea that the final results of MAGDM problem should be consistent and reflect the common will of the group to the greatest extent, which is solved by transforming into a parametric linear programming model using the weight average approach. Show more

Keywords: Multi-attribute group decision-making, intuitionistic fuzzy information, consistency, experts' weights

DOI: 10.3233/IFS-130991

Citation: Journal of Intelligent & Fuzzy Systems, vol. 27, no. 1, pp. 221-233, 2014

Authors: Khayat, Omid

Article Type: Research Article

Abstract: Estimation of the Lyapunov Exponents of a chaotic dynamical system is highly dependent on the tools one may use. Function approximators such as artificial neural networks and polynomial based systems posses an approximation error which effectively impacts LEs precision. Thus, we look for an efficient tool in the approximation of partial derivatives of a function and the function is to be critical of importance. In this paper, the Adaptive Neuro-Fuzzy Inference System and its first order derivative are used to model the nonlinear behavior of the chaotic functions. The structures of the Neuro-Fuzzy system and its first-order derivative are constructed …according to the training samples. Premise parameters and consequent parameters which have been initialized during a learning procedure are tuned by a deterministic chaotic-based genetic algorithm based on the Logistic map. Four non-linear chaotic dynamics are modeled with the proposed structure trained by the proposed chaotic genetic algorithm and the approximation capability of the proposed structure is studied. It has been shown that the chaotic behavior of the genetic algorithm enhances its capability in parameter tuning and structure optimization of a nonlinear network. Furthermore, the proposed method comprising the adaptive neuro-fuzzy network with its first order derivative is validated in modeling the chaotic behavior of four chaotic functions. Modeling error, optimization parameters and computation time are analyzed to verify the statements and presentations. Show more

Keywords: Chaotic function modeling, first-order derivative of the neuro-fuzzy system, chaotic genetic algorithm, logistic map, parameter tuning

DOI: 10.3233/IFS-130992

Citation: Journal of Intelligent & Fuzzy Systems, vol. 27, no. 1, pp. 235-245, 2014