Journal of Intelligent & Fuzzy Systems - Volume 37, issue 3

Authors: Wang, Xiao | Ning, Yufu

Article Type: Research Article

Abstract: Uncertain delay differential equations are a type of differential equations driven by a Liu process. So far, it has been proved that uncertain delay differential equation has a unique solution in the finite domain, in which its coefficients satisfy the global Lipschitz continuity. This paper continues to focus on the existence and uniqueness of the solutions of uncertain delay differential equations on the infinite domain. Meanwhile, a new existence and uniqueness theorem for uncertain delay differential equations under one-sided local Lipschitz condition and linear growth condition is deduced.

Keywords: Uncertain delay differential equation, existence and uniqueness, one-sided local Lipschitz condition, linear growth condition, infinite domain

DOI: 10.3233/JIFS-190264

Citation: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 3, pp. 4103-4111, 2019

Authors: Wu, Hsien-Chung

Article Type: Research Article

Abstract: The intersection and union of non-normal fuzzy sets using general aggregation functions are studied in this paper. The conventional intersection and union of fuzzy sets are based on the membership functions using the max and min functions, or t-norm and s-norm in general in which the fuzzy sets may assume to be normal in order to follow the boundary conditions that include 0 and 1 in the unit interval [0, 1]. When the fuzzy sets are taken to be non-normal, the α -level sets may be empty for some α  ∈ [0, 1]. In this paper, we shall consider the aggregation …functions, instead of t-norm and s-norm, satisfying the concepts of compatibility that are based on the α -level sets of intersection and union. In this case, the emptiness of α -level sets should be avoided, which is the main issue of this paper. Show more

Keywords: Aggregation functions; Interval range; Normal fuzzy sets; Set intersection; Set union.

DOI: 10.3233/JIFS-190270

Citation: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 3, pp. 4113-4132, 2019

Authors: Zhao, Meng | Gao, Mei | Li, Zichao

Article Type: Research Article

Abstract: Social network (SN) provides a new perspective for large-scale multi-attribute group decision making (LMAGDM), and the scale and complexity of group compositions have received considerable attention. In recent study, the SN is constructed artificially and subjectively by using the number of communication or by giving the trust value directly. This paper constructs a directed and weighted SN by integrating collaboration network and reference network of decision makers (DMs) objectively. The spin-glass of community detection method is used to identify the subgroups and the weight of DMs in subgroups and then obtain the weight of subgroup pair. The uncertain linguistic weighted …average operator is used to represent each subgroup’s assessment. The closeness between two subgroups is defined to measure consensus level. A targeted local feedback mechanism with three identification rules and a recommendation rule is designed to guide the consensus reaching process (CRP) more precisely and effectively. An illustrative example proves the feasibility and validity of the proposed consensus method, and the comparative analysis highlights the advantages and characteristics of this model. Show more

Keywords: Large-scale multi-attribute group decision making, collaboration-reference network, social network, weight of DMs and subgroup pair, consensus model, spin-glass community detection

DOI: 10.3233/JIFS-190276

Citation: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 3, pp. 4133-4156, 2019

Authors: Fan, Chao-Zan | Shi, Fu-Gui

Article Type: Research Article

Abstract: In this paper, we give a new characterization of M -fuzzifying span mappings defined by M -fuzzifying rank functions. Then we research the relations between M -fuzzifying span mappings and other M -fuzzifying mappings on M -fuzzifying matroid, and characterize the M -fuzzifying coindependent, nonspan and hyperplane mappings. Based on these characterizations, we put forward one class of special fuzzifying matroids.

Keywords: M-fuzzifying matroids, M-fuzzifying rank function, M-fuzzifying span mapping, fuzzifying dual matroids

DOI: 10.3233/JIFS-190280

Citation: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 3, pp. 4157-4169, 2019

Authors: Wang, Ying | Sun, Bingzhen | Hu, Xiaoyuan

Article Type: Research Article

Abstract: This paper proposes a new approach to uncertainty multiple attribute group decision problem with linguistic preference relation based on multigranulation probabilistic rough set and the Multimoora method. According to the classical Pawlak rough set and the neighborhood rough set, we present a multigranulation probabilistic fuzzy rough set based on neighborhood relation with linguistic preference information. We investigate the rough approximation of a crisp decision-making object and a fuzzy decision-making object under the framework of multigranulation rough set theory with linguistic preference inforamtion, respectively. That is, a multigranulation probabilistic rough set model and a multigranulation probabilistic fuzzy rough set model based …on δ -neighborhood relation are established, respectively. Meanwhile, the proposed multigranulation probabilistic fuzzy rough set model is compared with the existing model and illustrate the superiority of the new model established. Furthermore, by combining the multigranulation probabilistic fuzzy rough set and the Multimoora method, a new method for multiple attribute group decision making with linguistic preference information is proposed. The decision-making procedure and the algorithm of the proposed method are also given. Finally, the effectiveness and validity of the proposed method is verified by investigating a multiple attribute group decision problem with the selection of suppliers in the context of e-commerce. Show more

Keywords: Neighborhood relationship, multigranulation probability rough set, multiple attribute group decision-making, Multimoora, linguistic preference information

DOI: 10.3233/JIFS-190290

Citation: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 3, pp. 4171-4194, 2019

Authors: Muhiuddin, G. | Mahboob, Ahsan | Mohammad Khan, Noor

Article Type: Research Article

Abstract:  The concept of an (∈ , ∈ ∨ (k * , q k ))-fuzzy semiprime subset in an ordered semigroup is introduced, and investigate the properties of (∈ , ∈ ∨ (k * , q k ))-fuzzy generalized bi-ideals by concerning the (∈ , ∈ ∨ (k * , q k ))-fuzzy semiprime subsets. Moreover, some properties of (∈ , ∈ ∨ (k * , q k ))-fuzzy semiprime subsets are defined in terms of its (k * , k )-lower part. Finally, completely regular ordered semigroups are characterized in terms of its (∈ , ∈ ∨ (k * , q k ))-fuzzy semiprime generalized bi-ideals and their (k * …, k )-lower parts. Show more

Keywords: Ordered semigroups, fuzzy subsets, (∈ , ∈ ∨ (k*, qk))-fuzzy semiprime subsets

DOI: 10.3233/JIFS-190293

Citation: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 3, pp. 4195-4204, 2019

Authors: Che, Gaofeng | Liu, Lijun | Yu, Zhen

Article Type: Research Article

Abstract: In this paper, an iterative adaptive dynamic programming algorithm is proposed to deal with the optimal trajectory-tracking control problems for autonomous underwater vehicle. Two iteration procedures are used in the method, which are the i -iteration and the j -iteration.The i -iteration aims to obtain iterative trajectory-tracking control laws and the j -iteration aims to obtain iterative value functions in the i -iteration. The optimal tracking control problem is converted into an optimal regulation problem by system transformation. Then the optimal regulation problem is solved by the policy iteration adaptive dynamic programming algorithm. The policy iteration algorithm is the interacting …policy and value iteration algorithms. The neural networks are used to realize the proposed algorithm and the convergence and optimality properties of the proposed algorithm are analysed. Finally, simulation example is given to show the performance of the iterative adaptive dynamic programming algorithm. Show more

Keywords: adaptive dynamic programming, autonomous underwater vehicle, discrete-time, neural network, trajectory-tracking control

DOI: 10.3233/JIFS-190294

Citation: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 3, pp. 4205-4215, 2019

Authors: Shoaib, Abdullah | Shahzad, Aqeel

Article Type: Research Article

Abstract: In this paper, we have achieved fixed point results for pair of fuzzy mappings satisfying Ciric type contraction on a sequence contained in an open ball in ordered left (right) K -sequentially complete dislocated quasi metric space. An example and an application are presented to demonstrate the novelty of the results. Our results generalize and extend some recent results in literature.

Keywords: Fixed point, left (right) K-sequentially complete dislocated quasi metric space, open ball, fuzzy mapping, generalized contraction, 46S40, 47H10, 54H25

DOI: 10.3233/JIFS-190325

Citation: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 3, pp. 4217-4229, 2019

Authors: Tao, Zhifu | Liu, Xi | Zhou, Ligang | Chen, Huayou

Article Type: Research Article

Abstract: Z-numbers contain both of the cognitive information and the reliability of information. Since there are many types of cognitive information, by considering the reliability of these information, decision making with hybrid Z-information would be a practical issue, which has merely been considered. The aim of this paper is to introduce a multi-attribute decision making (MADM) with hybrid Z-information based on ranking aggregation method. By using the Technique for Order Preference by Similarity to an Ideal Solution (TOPSIS) method, single rankings of alternatives under attributes are firstly produced. Then, final ranking(s) of alternatives with the lowest disagreement among single rankings could …be derived according to ranking aggregation. As a result, a MADM with hybrid Z-information is transformed to be a ranking aggregation problem. The advantage of the developed method is that no algebra structures of hybrid Z-information is needed, so complex calculating process is avoided. In this paper, the mathematical structure of the case that MADM with hybrid Z-numbers is clear. Besides, the combination of ranking aggregation method and studies on Z-numbers could simplify the processing of hybrid Z-numbers. Finally, an example of supplier selection in green supply chain environment is introduced to illustrate the feasibility and validity of the developed model. Show more

Keywords: Multi-attribute decision making, hybrid Z-information, rank aggregation, supplier selection, order relation

DOI: 10.3233/JIFS-190344

Citation: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 3, pp. 4231-4239, 2019

Authors: Bush, Idoko John | Abiyev, Rahib | Arslan, Murat

Article Type: Research Article

Abstract: In this study, we propose a vision-based mouse controller capable of controlling objects from a distant location via hand gestures. The proposed hybrid model constitutes hand detection, prediction of hand states and direction and finally, with the aid of deep learning algorithm, we systematically control hand gestures to reposition objects on computer screen. This hybrid system is explicitly designed to control mouse on computer screen during formal presentation. Random movement of hand from up to down and right to left move the mouse pointer and sends signal to the system utilizing states of the hand. Here, close hand places the …mouse button on active mode while open hand releases the button. The proposed hybrid model is made up of two modules: Single Shot Multi Box Detection (SSD) structure utilized to detect hand while Convolutional Neural Network (CNN) is utilized for prediction. For comparative purposes, we performed similar experiment where SSD is used for hand detection while Radial Basis Function Network (RBFN) is used for hand states prediction. In the comparative results of hand states prediction, SSD+CNN greatly outperformed SSD+RBFN. The proposed hybrid model is vision-based hence, it does not require additional hardware to perform its task. Overall performance of the framework depicts that the system is accurate and robust. Show more

Keywords: Hand gesture, convolutional neural network, radial basis function network, computer vision, deep learning

DOI: 10.3233/JIFS-190353

Citation: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 3, pp. 4241-4252, 2019