Journal of Intelligent & Fuzzy Systems - Volume 32, issue 3

Authors: Zhou, Shenghai | Xu, Xuanhua | Li, Zhaohui | Zhang, Faming

Article Type: Research Article

Abstract: Aiming at the Multiple Attribute Decision Making (MADM) problem that each attribute value is a stochastic variable instead of a real number, this paper develops a probability approximation method to deal with the randomness of the stochastic attribute values. We consider two general cases: (1) the distributions of all stochastic attribute values are known to decision-maker, and (2) the distributions of all stochastic attribute values are unknown, but decision-maker knows the possible value set of each stochastic attribute value. As for each case, firstly, we introduce the probability approach to approximate the stochastic attribute value. Through this approximation, we make …sure that the larger the transformed attribute value of one alternative is, the better it is than others. Secondly, a new method is proposed to calculate the weights of stochastic attribute values under the uncertain environment. With this method, we derive the attribute weights from two parts differences: the intra-attributes differences, which denote the weights affected by the uncertainty of the stochastic attributes themselves, and inter-attributes differences which represent the weighted affected by the different attribute differences, and then calculate the two types of attribute weights. Finally, a numerical analysis is used to illustrate the effectiveness of the method proposed. Show more

Keywords: Multi-attribute decision-making, stochastic attribute values, weights determination under stochastic environment

DOI: 10.3233/JIFS-16511

Citation: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 3, pp. 2537-2548, 2017

Authors: Zhang, Qinghua | Zhang, Pei | Wang, Guoyin

Article Type: Research Article

Abstract: Rough set characterizes an uncertain set with two crisp boundaries, i.e., lower and upper-approximation sets, and it has successfully been applied into artificial intelligence fields. However, there is little discuss on how to establish a crisp set as approximation set of a target set instead of only giving out two boundary lines. Although many uncertain decision rules can be acquired from the information system based on lower-approximation set by keeping the positive region unchanged, the accuracy of these rules depends on the similarity between a target set and its lower-approximation set. In order to solve this problem, an approximation set …model of rough set was proposed and applied into attribute reduction or uncertain image segmentation successfully in our previous research. In this paper, a kind of fuzzy similarity between a target set and its approximation set is presented based on Euclidean distance instead of the similarity based on cardinality of a finite set. Then many good properties of 0.5-approximation set of a rough set are presented, and the conclusion that 0.5-appoximation set is the best approximation set of a rough set in all definable sets is successfully proved with Euclidean similarity between two fuzzy sets. Finally, the change laws of fuzzy similarity between a target set and its 0.5-approximation set in different granularity spaces is analyzed in detail. Show more

Keywords: Rough set, fuzzy set, 0.5-approximation set, fuzzy similarity, granularity

DOI: 10.3233/JIFS-16533

Citation: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 3, pp. 2549-2562, 2017

Authors: Chu, Junfeng | Chin, Kwai-Sang | Liu, Xinwang | Wang, Yingming

Article Type: Research Article

Abstract: The decision maker’s attitudinal character towards risk and the psychological aspects are critical factors of the multiple attribute decision making (MADM) problems. In this paper, we consider the attitudinal character during the whole decision making procedure. The reference points associated with prospect theory are in the form of interval-valued intuitionistic fuzzy number (IVIFN) and we assume the membership degree and non-membership degree of the IVIFN obey normal distribution according to the central limit theorem. We combine the properties of normal distribution and the attitudinal character associated with the ordered weighted averaging (OWA) operator to convert all the reference points into …crisp numbers. We construct one feasible multiple objective optimization programming to obtain the optimal weight vector of the attributes by minimizing the deviation between the alternative and the reference point corresponding to each alternative. The hybrid weighted averaging (HWA) operator is applied to aggregate the prospect values for each alternative. Especially, we directly reorder the weighted prospect values considering their plus or minus, which reflects the decision-maker’s attitudinal character towards risk as well. Finally, an illustrative example about group-buying is provided to show the feasibility of the proposed method. Show more

Keywords: Prospect theory, attitudinal character, interval-valued intuitionistic fuzzy set (IVIFS), hybrid weighted averaging (HWA) operator, multiple attribute decision making (MADM)

DOI: 10.3233/JIFS-16543

Citation: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 3, pp. 2563-2578, 2017

Authors: Liu, Yang | Ban, Xiaojun | Wu, Fen | Lam, H.K.

Article Type: Research Article

Abstract: This paper presents a gain-scheduling output feedback control design method for T-S fuzzy systems with actuator saturation. Different from existing control design methods for T-S fuzzy systems, the basic idea of the proposed approach is to transform the T-S fuzzy model with saturation nonlinearity into the form of linear fractional transformation (LFT). Instead of commonly used fuzzy controllers, a gain-scheduled output feedback controller in the LFT form is introduced to stabilize the saturated T-S fuzzy system with guaranteed H ∞ performance. The problem of establishing regional stability and performance of the closed-loop nonlinear system are tackled by using robust …control techniques. As a result, the conservatism introduced by dealing with the quadratic terms of normalized fuzzy weighting functions can be avoided. The proposed controller synthesis problem is cast as a convex optimization in terms of linear matrix inequalities (LMIs) and can be solved efficiently. An example of balancing the inverted pendulum with bounded actuation is provided to illustrate the effectiveness of the proposed design method. Show more

Keywords: T-S fuzzy systems, actuator saturation, gain-scheduling control, linear fractional transformation

DOI: 10.3233/JIFS-16546

Citation: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 3, pp. 2579-2589, 2017

Authors: Xin, Xiaolong | Cheng, Xiaoyun | Zhang, Xiaohong

Article Type: Research Article

Abstract: In this paper, we introduce the notion of a generalized state operator by extending the codomain of a state operator to a more general algebraic structure, that is, from a BCI-algebra X to an arbitrary BCI-algebra Y . Also we give some special types of generalized state operators according to the structures of Y such as GD-states, GK-states and state operators. We get that generalized state operators are the generalization of state-morphisms and state-morphism operators on BCK/BCI-algebras. Then we focus on studying state operators on BCI-algebras and obtain some important results: (1) State BCI-algebras are a genuine generation …of state MV-algebras. (2) There is a bijection between all state congruences and all closed state ideals on a state BCI-algebra. (3) If (X , σ ) is a nontrivial subdirectly irreducible state BCI-algebra with Ker  (σ ) =0, then σ  (X ) is a nontrivial subdirectly irreducible subalgebra of X . Moreover we give some characterizations of several special types of BCI-algebras by use of state operators and differential states. Show more

Keywords: BCI-algebra, generalized state operator, state operator, state ideal, differential state

DOI: 10.3233/JIFS-16550

Citation: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 3, pp. 2591-2602, 2017

Authors: Xu, Changjin | Li, Peiluan

Article Type: Research Article

Abstract: In this paper, fuzzy cellular neural networks with distributed delays and variable coefficients are studied. Applying Gaines and Mawhin, s continuation theorem of coincidence degree theory, the method of Lyapunov function and the elementary inequality 2xy  ≤ x 2  + y 2 , we establish some sufficient conditions which ensure the existence and global exponential stability of periodic solution of such fuzzy cellular neural networks with distributed delays and variable coefficients. These sufficient conditions, which are easily checked in practice by simple algebra methods, have a wide range of application. An example with its numerical simulations is given to show the feasibility …of the obtained theoretical predictions. The results obtained in this article are completely new and complement the previously known studies. Show more

Keywords: Fuzzy cellular neural networks, exponential stability, periodic solution, distributed delay, topological degree theory, variable coefficient

DOI: 10.3233/JIFS-16939

Citation: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 3, pp. 2603-2615, 2017

Authors: Talo, Özer | Bayazit, Funda

Article Type: Research Article

Abstract: In this paper, we introduce slow oscillation and Hardy’s two-sided Tauberian conditions for double sequences in n -dimensional fuzzy number space E n . Besides, slow decrease and Landau’s one-sided Tauberian conditions for double sequences in E 1 are presented. Under these conditions we also prove Tauberian theorems for statistically convergent double sequences of fuzzy numbers.

Keywords: Double sequence, statistical convergence, fuzzy number, Tauberian conditions

DOI: 10.3233/JIFS-16573

Citation: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 3, pp. 2617-2624, 2017

Authors: Zhang, Huan

Article Type: Research Article

Abstract: Along with the development of human being, the environmental problems have attracted more and more attention, “The Green” will become the main trend in the 21th century, and “The Green Action” will be an important department and a decisive factor to any country and enterprise which take part in the competition of the world market. Based on the above analysis, it is an important mode for the modern enterprise. We propose “The Green Idea” to the management of supply system, and then construct “The Green Supply Management” to reduce the resource cost and the environmental affect. In the study of …“The Green Supply”, how to estimate the performance with high accuracy is of great importance. Furthermore, high quality performance evaluation may let the enterprise to answer the questions, to discover the solutions, and then to enhance the quality of the operation and improvement of “The Green Supply”. Therefore, it is very crucial to enhance “The Green Supply” by making the performance evaluation with high accuracy. In this paper, we study on the multiple attribute decision making problems to estimate the performance in green supply chain based on environmental economics with fuzzy information. Then, we have developed the fuzzy Hamacher correlated averaging (FHCA) operator. We have exploited the FHCA operator to multiple attribute decision making to estimate the wireless network security with fuzzy information. In the end, an example to estimate the performance in green supply chain based on environmental economics has been proposed to prove the effectiveness of the proposed approach. Show more

Keywords: Multiple attribute decision making, triangular fuzzy number, performance in green supply chain, environmental economics

DOI: 10.3233/JIFS-16576

Citation: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 3, pp. 2625-2631, 2017

Authors: Zhu, Li-Cai | Hou, Jin-Long | Wang, Lv

Article Type: Research Article

Abstract: Sports ground for the construction of public sports service system, services, and improving the livelihood of the people plays an important role, which is the material base to carry out the national fitness activities and improve the competitive sports achievement, it plays an indispensable role of meeting people’s spiritual and cultural life as well as the growing fitness demand. There is the reference value to comprehensively understand the current situation of sports development of new technology development zone, and it’s important to carry out the national fitness activities, increase participate in regular physical exercise population, develop sports undertakings, enhance the …level of sports services, improve the sports people’s livelihood. In this paper, we investigate the multiple attribute decision making problems for sports grounds’ management performance evaluation with triangular fuzzy information. Motivated by the ideal of geometric Bonferroni mean and dependent aggregating operators, we develop the dependent triangular fuzzy geometric Bonferroni mean (DTFGBM) operator for aggregating the triangular fuzzy information. Finally, a practical example for sports grounds’ management performance evaluation is given to verify the developed approach. Show more

Keywords: Performance evaluation, triangular fuzzy numbers, geometric Bonferroni mean, dependent triangular fuzzy geometric Bonferroni mean (DTFGBM) operator, sports grounds, management performance

DOI: 10.3233/JIFS-16582

Citation: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 3, pp. 2633-2640, 2017

Authors: Yu, Guangji | Wu, Xiaoyun | Xia, Guoen

Article Type: Research Article

Abstract: This paper studies T -similarity of L -fuzzy relations and its algebraic structures where L is a complete residuated lattice. L -fuzzy topologies induced by L -fuzzy rough approximation operators are investigated and T -similarity of L -fuzzy relations is first introduced. Next, a characteristic condition for L -fuzzy relations to be T -transitive is established. Finally, algebraic structures on T -similarity of L -fuzzy relations are obtained and an example is given in order to illustrate the practical significance and possible applications of the proposed concepts.

Keywords: Complete residuated lattice, L-fuzzy approximate space, L-fuzzy relation, L-fuzzy topology, T-similarity, algebraic structure

DOI: 10.3233/JIFS-16606

Citation: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 3, pp. 2641-2653, 2017