Journal of Intelligent & Fuzzy Systems - Volume 40, issue 1

Authors: Wu, Min-Chao | Mao, Jun-Jun | Yao, Ai-Ting | Wu, Tao

Article Type: Research Article

Abstract: Z + -numbers, which carry more information than Z-numbers, are studied in this paper. Based on existed models, two more scientific and reasonable probability models of Z + -numbers are developed. In order to utilize Z + -numbers to solve practical problems, the α -cut set of Z + -numbers and corresponding utility function are proposed. Meanwhile, according to the structure of Z + -numbers, the entropy, cross-entropy and comprehensive cross-entropy are introduced to measure the uncertainty and fuzziness of Z + -numbers information. Furthermore, a linear programming model based on proposed three kinds of entropy is designed to obtain …the weight vector of criteria in decision-making problems. Finally, we provide an example by selecting an optimal design of electricity vehicles charge station(DEVCS) combined the PROMETHEE method with Z + -numbers, and the feasibility of the proposed method are verified. Show more

Keywords: Z+-numbers, entropy, comprehensive cross-entropy, PROMETHEE method, multi-criteria decision-making

DOI: 10.3233/JIFS-190300

Citation: Journal of Intelligent & Fuzzy Systems, vol. 40, no. 1, pp. 131-148, 2021

Authors: Ko, Jung Mi | Kim, Yong Chan

Article Type: Research Article

Abstract: In this paper, based on generalized residuated lattices as an extension of Zhang’s complete residuated lattices, there are two types of structures: bi-partially orders, right (left) joins, right (left) complete lattices and right (left) Alexandrov topologies. We investigate their properties and the relationship between them. Moreover, monotone maps, right (left)-embedding maps and right-join (left-join) preserving maps are investigated with various operations as extensions of Zadeh powerset operations between these structures. As the foundation of fuzzy rough sets and fuzzy contexts, there exist adjunctions and Galois connections between maps from right(left) Alexandrov topologies to right(left) Alexandrov topologies. We give their examples.

Keywords: Generalized residuated lattices, right (left) joins, right (left) meets, right (left) complete lattices, right(left) Alexandrov topologies, adjunctions, Galois connections

DOI: 10.3233/JIFS-190424

Citation: Journal of Intelligent & Fuzzy Systems, vol. 40, no. 1, pp. 149-164, 2021

Authors: Liu, Hongzhe | Zhang, Qikun | Xu, Cheng | Ye, Zhao

Article Type: Research Article

Abstract: Blind Source Separation(BSS) is one of the research hotspots in the field of signal processing. In order to improve the accuracy of speech recognition in driving environment, the driver’s speech signal must be enhanced to improve its signal to noise ratio(SNR). Independent component analysis (ICA) algorithm is the most classical and efficient blind statistical signal processing technique. Compared with other improved ICA algorithms, fixed-point algorithm (FastICA) is well known for its fast convergence speed and good robustness. However, the convergence of FastICA algorithm is comparatively susceptible to the initial value selection of the original demixing matrix and the calculation of …the iterative process is relatively large. In this paper, the gradient descent method is used to reduce the effect of initial value. What’s more, the improved secant method is proposed to speed up the convergence rate and reduce the amount of computation. As the results of mixed speech separation experiment turn out, the improved algorithm is of better performance relative to the standard FastICA algorithm. Experimental results show that the proposed algorithm improves the speech quality of the target driver. It is suitable for speech separation in driving environment with low SNR. Show more

Keywords: Blind source separation, fixed-point algorithm, gradient descent, improved secant method, speech separation

DOI: 10.3233/JIFS-190469

Citation: Journal of Intelligent & Fuzzy Systems, vol. 40, no. 1, pp. 165-178, 2021

Authors: Gholizadeh, Hadi | Fazlollahtabar, Hamed | Khalilzadeh, Mohammad

Article Type: Research Article

Abstract: Nowadays, Industries have been receiving much attention in Failure modelling and reliability assessment of repairable systems due to the fact that it plays a crucial role in risk and safety management of process. The primary purpose of this article is to present a methodology for discussing uncertainty in the reliability assessment if the production system. In fact, we discuss the fuzzy E-Bayesian estimation of reliability for PVC window production system. This approach is used to create the fuzzy E-Bayesian estimations of system reliability by introducing and applying a theorem called “Resolution Identity” for fuzzy sets. To be more specific, the …model parameters are assumed to be fuzzy random variables. For this purpose, the original problem is transformed into a nonlinear programming problem which is divided into four sub-problems to simplify the computations. Finally, the results obtained for the sub-problems can be used to determine the membership functions of the fuzzy E-Bayesian estimation of system reliability. To clarify the proposed model, a practical example for PVC window production system is conducted. Show more

Keywords: E-Bayesian estimation, system reliability, fuzzy real numbers

DOI: 10.3233/JIFS-190718

Citation: Journal of Intelligent & Fuzzy Systems, vol. 40, no. 1, pp. 179-189, 2021

Authors: Verma, Tina

Article Type: Research Article

Abstract: In last few years, lots of researchers have proposed different methods to solve the constrained matrix games with fuzzy payoffs. In this paper, it has been shown that the mathematical programming problem of constrained matrix games with fuzzy payoffs, considered by researchers, is mathematically invalid and hence the method, proposed by researchers to obtain the complete solution (minimum expected gain of Player I, maximum expected loss of Player II and their corresponding optimal strategies) of constrained matrix games with fuzzy payoffs by solving the mathematical programming problem with fuzzy payoffs, are also invalid. Further, in the present paper, a new …method has been proposed to find the complete solution of matrix games with fuzzy payoffs. To illustrate the proposed method, some existing numerical problems of constrained matrix games with fuzzy payoffs have been solved by the proposed method. Show more

Keywords: Matrix games, fuzzy payoffs, mathematical programming problem

DOI: 10.3233/JIFS-191192

Citation: Journal of Intelligent & Fuzzy Systems, vol. 40, no. 1, pp. 191-204, 2021

Authors: Zheng, Yanbin | Fan, Wenxin | Han, Mengyun

Article Type: Research Article

Abstract: The multi-agent collaborative hunting problem is a typical problem in multi-agent coordination and collaboration research. Aiming at the multi-agent hunting problem with learning ability, a collaborative hunt method based on game theory and Q-learning is proposed. Firstly, a cooperative hunting team is established and a game model of cooperative hunting is built. Secondly, through the learning of the escaper’s strategy choice, the trajectory of the escaper’s limited T-step cumulative reward is established, and the trajectory is adjusted to the hunter’s strategy set. Finally, the Nash equilibrium solution is obtained by solving the cooperative hunt game, and each hunter executes the …equilibrium strategy to complete the hunt task. C# simulation experiment shows that under the same conditions, this method can effectively solve the hunting problem of a single runaway with learning ability in the obstacle environment, and the comparative analysis of experimental data shows that the efficiency of this method is better than other methods. Show more

Keywords: Multi-agent, collaborative hunting, game theory, reinforcement learning

DOI: 10.3233/JIFS-191222

Citation: Journal of Intelligent & Fuzzy Systems, vol. 40, no. 1, pp. 205-219, 2021

Authors: Wang, Xingang | Wang, Ke

Article Type: Research Article

Abstract: In many cases, complex problems cannot be accurately described by precise numerical values. Fuzzy theory provides a suitable tool for solving these problems. However, if decision makers cannot reach an agreement on the method for defining linguistic variables based on fuzzy sets, TIVFNs (triangular interval-valued fuzzy numbers) can provide more accurate modeling. Therefore, solving fuzzy MCGDM (multiple criteria group decision-making) problem with an unknown expert weight and criterion weight in TIVFNs has become an important research direction. In this paper, TIVF-VIKOR (triangular interval-valued fuzzy VIKOR) method, which is suitable for the environment of TIVFNs, is proposed to solve the problem …of fuzzy MCGDM. To achieve this goal, the TIVF-VIKOR method is innovatively adopted similarity and coefficient of variation are combined to calculate expert weight, and deviation maximization method based on divergence matrix is used to calculate criterion weight. VIKOR method is used to find the compromise solutions, which are converted into the form of binary connection number, and the optimal compromise solution is obtained after ranking. The proposed method is applied to the problem of machine fault detection, and the validity and feasibility of the method are illustrated. Compared with the TOPSIS∖ELECTRE method, the ranking results of the three methods are equivalent, and the fluctuation of the TIVF-VIKOR method is more distinct. Show more

Keywords: Triangular interval-valued fuzzy numbers, multiple criteria group decision-making, binary connection number, VIKOR method

DOI: 10.3233/JIFS-191261

Citation: Journal of Intelligent & Fuzzy Systems, vol. 40, no. 1, pp. 221-233, 2021

Authors: Chen, Liuxin | Luo, Nanfang | Gou, Xiaoling

Article Type: Research Article

Abstract: In the real multi-criteria group decision making (MCGDM) problems, there will be an interactive relationship among different decision makers (DMs). To identify the overall influence, we define the Shapley value as the DM’s weight. Entropy is a measure which makes it better than similarity measures to recognize a group decision making problem. Since we propose a relative entropy to measure the difference between two systems, which improves the accuracy of the distance measure.In this paper, a MCGDM approach named as TODIM is presented under q-rung orthopair fuzzy information.The proposed TODIM approach is developed for correlative MCGDM problems, in which the …weights of the DMs are calculated in terms of Shapley values and the dominance matrices are evaluated based on relative entropy measure with q-rung orthopair fuzzy information.Furthermore, the efficacy of the proposed Gq-ROFWA operator and the novel TODIM is demonstrated through a selection problem of modern enterprises risk investment. A comparative analysis with existing methods is presented to validate the efficiency of the approach. Show more

Keywords: q-rung orthopair fuzzy, Shapley value, relative entropy, MCGDM, TODIM

DOI: 10.3233/JIFS-191374

Citation: Journal of Intelligent & Fuzzy Systems, vol. 40, no. 1, pp. 235-250, 2021

Authors: Oh, Ju-Mok | Kim, Yong Chan

Article Type: Research Article

Abstract: In this paper, we introduce the notion of Galois and dual Galois connections as a topological viewpoint of concept lattices in a complete residuated lattice. Under various relations, we investigate the Galois and dual Galois connections on Alexandrov L -topologies. Moreover, their properties and examples are investigated.

Keywords: Complete residuated lattices, Alexandrov L-topologies, Galois and dual Galois connections

DOI: 10.3233/JIFS-191548

Citation: Journal of Intelligent & Fuzzy Systems, vol. 40, no. 1, pp. 251-270, 2021

Authors: Wang, Xiulan | Wu, Xiaoli

Article Type: Research Article

Abstract: This paper aims to investigate the compensation contract design problem consisting of a risk neutral firm and two risk averse workers with and without helping effort in the presence of bilateral moral hazard by Stackelberg game in the framework of principal-agent theory. Three classes of contract models are established in three modes, which reflect whether helping effort takes place between both workers and whether personal performance evaluation contract or relative performance evaluation contract is applied by the firm. By solving models, optimal efforts of the firm, optimal individual and workgroup incentive coefficients, optimal personal effort and helping effort, and the …firm’s expected profit are deduced in different modes. In addition, a numerical experiment is investigated by focusing on the impacts of effort cost coefficients of the firm and the worker, and bilateral moral hazard on optimal compensation contracts and profit of the firm in three modes, which provide some valuable management insights about optimal strategy for the firm. The main findings show that the relative performance evaluation contract works better than the personal performance evaluation contract when the two workers is cooperative, which means that helping effort takes place between the two workers. Furthermore, a higher marginal contribution can motive the worker to make more helping effort for her partner, thus achieving win-win outcome based on the relationship of cooperation. For the firm, the optimal strategy is to design the relative performance evaluation contract for both workers and motivate them to make cooperative relationship by exerting helping effort under bilateral moral hazard. Moreover, bilateral moral hazard decreases the motivations of the workers but increases the firm’s profit. This proposed work contributes to the investigation of compensation contract design by combining three critical factors, that is, multiple agents, bilateral moral hazard, and helping effort. The findings provide some theoretical guidance on how to set up optimal mechanism between the firm and multiple agents in the presence of bilateral moral hazard and how to reduce the adverse influence of bilateral moral hazard on participants’ profits. Show more

Keywords: Compensation contracts, bilateral moral hazard, multiple agents, helping effort

DOI: 10.3233/JIFS-191625

Citation: Journal of Intelligent & Fuzzy Systems, vol. 40, no. 1, pp. 271-293, 2021