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

Authors: Du, Yuxiang | Sheng, Qian | Fu, Xiaodong | Tang, Hua | Zhang, Zhenping | Zhao, Xin

Article Type: Research Article

Abstract: The stability of a colluvial slope, which is different from a rock or soil slope, is determined by the properties of both the bedrock and the colluvium. Coupled with artificial excavation and environmental effects, the stability factors of such slopes are complicated. To rapidly and effectively evaluate the risk of a colluvial cutting slope, a risk evaluation system for this type of slope is established herein. First, an evaluation index system is established, and reasonable risk evaluation indices are selected. Second, the fuzzy analytic hierarchy process (FAHP) is applied, a fuzzy pairwise comparison matrix, that must satisfy a consistency test, …is constructed, and the weight of each index is determined. Third, the risk evaluation grades are divided into 4 risk grades, and the risk evaluation criteria for each basic index are determined. Finally, the three-level fuzzy comprehensive evaluation (FCE) method is applied, the membership function for each index is constructed, the membership degree is calculated, and the risk grade of the colluvial cutting slope is determined. This risk evaluation system is used to evaluate the risks of 148 colluvial cutting slopes along the Xiaomengyang-Mohan highway in Yunnan, China. The results show that there are 24 slopes of low risk (grade I), 85 of medium risk (grade II), 22 of high risk (grade III), and 17 of very high risk (grade IV). The evaluation results obtained are in good agreement with the actual slope instability states: failure occurred in 15 out of 85 slopes of risk grade II, 13 out of 22 slopes of risk grade III, and 16 out of 17 slopes of risk grade IV. This application demonstrates that the proposed risk evaluation system for colluvial cutting slopes is universal, and stable and that the calculation results are objective. Show more

Keywords: Colluvial cutting slope, risk evaluation system, fuzzy analytic hierarchy process, fuzzy comprehensive evaluation

DOI: 10.3233/JIFS-190367

Citation: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 3, pp. 4253-4271, 2019

Authors: Rehmani, Sameeha | Sunitha, M.S.

Article Type: Research Article

Abstract: In this paper, the edge version of the geodesic number of a fuzzy graph is introduced and the properties satisfied are identified. A comparison between the vertex and edge version of the geodesic number of fuzzy graphs is obtained. The edge geodesic number of fuzzy trees, complete fuzzy graphs, complete bipartite fuzzy graphs and of fuzzy cycles are identified. A necessary and sufficient condition for the existence of an edge geodesic cover in a fuzzy graph is obtained. An application of edge geodesic sets in transportation systems in optimizing the number of traffic inspectors patrolling an urban road network is demonstrated. …The fuzziness in the problem helps to identify routes receiving less priority among passengers, elimination of which minimizes the loss suffered by various transport corporations due to lack of collection. Show more

Keywords: Edge geodesic cover, edge geodesic basis, edge geodesic number AMS Mathematics Subject Classification (2010): 05C72, 05C12, 05C38, 05C40, 90C35

DOI: 10.3233/JIFS-190383

Citation: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 3, pp. 4273-4286, 2019

Authors: Yogashanthi, T. | Mohanaselvi, S. | Ganesan, K.

Article Type: Research Article

Abstract:  In this paper a new centroid based ranking grade for generalized intuitionistic fuzzy numbers is proposed. The centroid point of membership function and non membership function of generalized intuitionistic fuzzy numbers in term of its parametric form is used for grading. The parametric representation of generalized intuitionistic fuzzy numbers involves left fuzziness index, right fuzziness index and modal value of membership and non membership functions. To reveal the performance of the proposed ranking grade, a comparison study has been made over the existing methods. Furthermore the proposed ranking method has been used for estimating the minimum total elapsed time to …a flow shop scheduling problem involving generalized intuitionistic fuzzy number. An improved result for flow shop scheduling problem has been attained using the proposed ranking grade and has been illustrated through an example. Show more

Keywords: Fuzzy set, generalized intuitionistic fuzzy numbers, centroid point, ranking grade, flow shop scheduling problem

DOI: 10.3233/JIFS-190395

Citation: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 3, pp. 4287-4297, 2019

Authors: Yadav, Nidhika | Chatterjee, Niladri

Article Type: Research Article

Abstract: Rough Sets provide a mathematical tool to handle decision making under uncertainty. One major domain that can be characterized with inherent ambiguity is natural language texts which often leads to uncertainty in understanding the intent and relative importance of a sentence with respect to its context in the whole text. As a consequence, the process of sentence selection for generation of extractive summary can logically be considered as a process of decision making under uncertainty. In this paper we use rough set based techniques to deal with this uncertainty. This paper’s contribution is two-fold. Firstly, this paper proposes a novel …Rough Set based uncertainty measure called span and define special Rough subsets of universe called spanning sets . Span is Rough Set based measure for salience of a subset of universe and spanning set is the subset that maximizes the span. This corresponds to the key elements representing a problem and can be used to solve various real-life applications. Secondly, the concepts are applied to determine extracts of text documents. The idea behind the present work is to determine the most suitable subset(s) of the universe of sentences under consideration. An optimization problem is formulated to generate the extract for the text under consideration using the proposed uncertainty measure of span and is solved using Particle Swarm Optimization. The experimental results on DUC2001, DUC2002 single document data sets and Enron Email datasets establish the effectiveness of the proposed technique. There has been substantial work on Rough Sets though considering a stochastic Rough-subset of the universe and determining its aptness as a representative of the universe is still unexplored. The proposed technique is a novel effort to fill this gap. Show more

Keywords: Rough set, extractive text summarization, span, spanning set, particle swarm optimization, ROUGE, extraction, lexical chains, DUC2001, DUC2002, LSA, graph, random indexing, GLOVE

DOI: 10.3233/JIFS-190402

Citation: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 3, pp. 4299-4309, 2019

Authors: Li, Jing | Zhang, Yulin

Article Type: Research Article

Abstract: Interval fuzzy preference relations (IFPRs) have been widely adopted in describing vagueness and uncertainty in real-life decision problems. Different methods have been applied in aggregating decision makers’ (DMs’) IFPRs. Nevertheless, the objective weights of DMs are often neglected in the group decision literature. Besides, the commonly methods used in aggregating decision makers’ (DMs’) IFPRs may make the final result too average. This paper investigates the plant growth simulation algorithm (PGSA) to aggregate interval fuzzy preference relations (IFPRs) and then derives the objective weights of decision makers (DMs) based on the deviation measure method. Next, the weighted aggregation IFPR is obtained …by PGSA and the alternatives are ranked based on the continuous ordered weighted averaging (COWA) operator. The new aggregation method creatively converts the elements of IFPRs into two-dimensional coordinates and the ideal IFPR can be aggregated by PGSA based on the minimum Euclidean distance model. Then the weight of each DM can be derived according to the Euclidean distance between the individual IFPR and ideal IFPR based on the deviation measure method. Finally, a weighted aggregated IFPR can be obtained by PGSA and the ranking of alternatives is obtained by the COWA operator. Numerical examples are given to verify the efficiency and superiority of the method. Show more

Keywords: Weights of decision makers (DMs), interval fuzzy preference relations (IFPRs), deviation measure method, the minimum Euclidean distance model, plant growth simulation algorithm (PGSA)

DOI: 10.3233/JIFS-190410

Citation: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 3, pp. 4311-4323, 2019

Authors: Li, Lei-Jun | Li, Mei-Zheng | Mi, Ju-Sheng | Xie, Bin

Article Type: Research Article

Abstract: Attribute reduction is one of the crucial issues in Formal Concept Analysis. Discernibility matrix plays an important role in attribute reduction, and has been achieved many successful applications in different concept lattice models. Nevertheless, it requires the construction of the concept lattice before the discernibility matrices are computed when applying traditional approaches, which is both time and space consuming. Furthermore, in some discernibility matrices, the comparisons between every two concepts result in a high computation complexity. To address these problems, granular concepts, i.e., the object concepts and the attribute concepts, are considered in this paper, and a simple discernibility matrix …named Object-Attribute discernibility matrix is proposed. It averts the construction of the whole concept lattice and the comparisons between every two concepts. Consequently, the time complexity is greatly reduced, and a lot of storage space can also be saved. Theoretical analysis and experimental results show the efficiency of Object-Attribute discernibility matrix. Show more

Keywords: Formal concept analysis, concept lattice, attribute reduction, discernibility matrix, granular concept

DOI: 10.3233/JIFS-190436

Citation: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 3, pp. 4325-4337, 2019

Authors: Wu, Ziheng | Wang, Bing

Article Type: Research Article

Abstract: Fuzzy c-means algorithm (Fcm) frequently applid in machine learning has been proven an effective clustering approach. However, the traditional Fcm cannot distinguish the importance of the different data objects and the discriminative ability of the different features in the clustering process. In this paper, we propose a new kind of Fcm clustering framework: DwfwFcm.Considering the different data weights and feature weights, an adaptive data weights vector and an adaptive feature weights matrix are introduced into the conventional Fcm and a new objective function is constructed. By the proposed objective function, the corresponding scientific updating iterative rules of the membership matrix, …the weights of the different feature, the weights of the different data object and the cluster centers can be derived theoretically.Experimental results have demonstrated that the algorithm proposed in this paper can deliver consistently promising results and improve the clustering performance greatly. Show more

Keywords: Fuzzy c-means algorithm, machine learning, clustering, adaptive data weights vector, adaptive feature weights vector

DOI: 10.3233/JIFS-190440

Citation: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 3, pp. 4339-4347, 2019

Authors: Yang, Qiang | Li, Yan-Lai | Chin, Kwai-Sang

Article Type: Research Article

Abstract: Quality function deployment (QFD) is an effective tool for the design and improvement of products/services. The prioritization of customer requirements (CRs), as an essential component of the house of quality, is fundamental and strategic in the whole process of QFD product planning. This study proposes a novel ordinal scale values based group decision-making (GDM) approach first and it is subsequently used to prioritize CRs in QFD product planning. The proposed approach is composed of three stages, that is, constructing the integrated preference vector, defining the extraction sequence and constructing the comprehensive preference vector. The proposed GDM approach is good for …utilizing the ordinal scale values provided by respondents due to limited experience and knowledge. An illustrative example is presented to verify the applicability and efficiency of the proposed approach. Further, to demonstrate the superiority of the proposed approach, comparisons are made between the proposed approach and two other similar methods. Practical results demonstrated that the proposed approach can be effective when the importance of customers and the preference evaluations of CRs are given by an ordinal scale. Show more

Keywords: Quality function deployment (QFD), customer requirement (CR), group decision-making (GDM), ordinal scale, preference ordering

DOI: 10.3233/JIFS-190444

Citation: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 3, pp. 4349-4367, 2019

Authors: Ali, Abbas | Rehman, Noor | Jang, Sun Young | Park, Choonkil

Article Type: Research Article

Abstract:  The notions of fuzzy upward β -covering, the fuzzy upward β -neighborhood, upward β -neighborhood and fuzzy complement β -neighborhood are introduced and several related properties are studied. Furthermore, multigranulation optimistic/pessimistic fuzzy rough sets based on fuzzy upward β -covering are initiated and their fundamental properties are investigated. We also find the upward β -neighborhood in the fuzzy upward covering approximation space and present the optimistic/pessimistic multigranulation rough sets to further enrich the presented notions. The medicine selection via fuzzy upward β -covering rough sets in medical diagnosis is another main contribution of the present work. It is also explored …that which medicine can be prescribed for which particular symtom(s) and which disease. Show more

Keywords: Fuzzy preference relation, fuzzy rough set, β-covering rough sets

DOI: 10.3233/JIFS-190447

Citation: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 3, pp. 4369-4390, 2019

Authors: Fan, Jianping | Liu, Jie | Wu, Meiqin

Article Type: Research Article

Abstract: Cross-efficiency assessment method is a useful tool for assessing the relative performance of decision-making units (DMUs). It is generally assumed that decision makers (DMs) are completely rational in the cross-efficiency model, and DMs’ risk attitude has not been considered important in the evaluation process. When the self-evaluation score of the DMU is optimal, the input and output weights are non-unique, resulting in non-unique cross-efficiency score, which affects the ranking result. The relative importance of DMUs is ignored when aggregating cross-efficiency scores. in view of the above problems, a cross-efficiency method based on prospect theory is proposed to capture the bounded …rational psychological behavior of risk DMs. This method considers all multiple optimal solutions and constructs interval cross-efficiency. The credibility of each cross-efficiency score is obtained based on the D-S evidence theory, and the weight of each DMU is obtained by using the Dempster rule. DMUs are ranked by calculating the prospect value. The validity and feasibility of the proposed method and how does the risk preference of DMs characterized by parameters α , β , λ affect the evaluation results are verified by an illustrative example. Show more

Keywords: Data envelopment analysis, cross-efficiency, interval number, dempster-shafer theory, prospect theory

DOI: 10.3233/JIFS-190450

Citation: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 3, pp. 4391-4404, 2019