Journal of Intelligent & Fuzzy Systems - Volume 38, issue 4

Authors: Liu, Jinpei | Zheng, Yun | Jin, Feifei | Li, Hongyan | Chen, Huayou

Article Type: Research Article

Abstract: Considering the influence of undesirable outputs in environmental assessments of the practical production process, this paper proposes a DEA cross-efficiency method and fuzzy preference relation based on semi-disposability of undesirable outputs for environmental assessments, which combines self-evaluation with peer-evaluation and avoids potentially unrealistic weighting scheme. We first develop a new input-oriented DEA model based on semi-disposability of undesirable outputs. Then, the corresponding DEA cross-efficiency method is proposed to evaluate the homogeneous decision-making units (DMUs) and the additive fuzzy preference relation is constructed using the DEA cross-efficiency scores. An output-oriented DEA model is adopted to derive the priority vector from the …constructed additive fuzzy preference relation. Furthermore, we summarize the specific procedures for environmental assessments based on DEA cross-efficiency and fuzzy preference relation. Finally, the practical example of industrial environment assessment of the Yangtze River Economic Belt is provided to show the applicability and effectiveness of the proposed method. Show more

Keywords: DEA cross-efficiency, semi-disposability, performance evaluation, preference relations, undesirable outputs

DOI: 10.3233/JIFS-191777

Citation: Journal of Intelligent & Fuzzy Systems, vol. 38, no. 4, pp. 5191-5201, 2020

Authors: Duong, Truong Thi Thuy | Phong, Le Thai | Hoi, Le Quoc | Thao, Nguyen Xuan

Article Type: Research Article

Abstract: The Quality Function Deployment (QFD) problem is an effective tool for translating the customer’s voice into product characteristics, which reduces production costs and improves customer satisfaction. The purpose of this paper is to put forward a new similarity measure based on the concept of interval neutrosophic sets and propose a novel decision making model that combines QFD and similarity measure to evaluate and select market segments. The interval neutrosophic set is used to express the importance of criteria WHATs, technical characteristics HOWs, correlations of WHATs and HOWs and the aggregated rating of each market segment.

Keywords: Interval neutrosophic set, decision making, QFD, market segment, similaity measure

DOI: 10.3233/JIFS-191790

Citation: Journal of Intelligent & Fuzzy Systems, vol. 38, no. 4, pp. 5203-5214, 2020

Authors: Zhao, Mengke | Wu, Jian | Cao, Mingshuo | Yu, Zhaoyan

Article Type: Research Article

Abstract:  This article proposes a novel multi-criteria group decision making (MCGDM) approach with multi-granularity hesitant fuzzy linguistic term set (HFLTS). It consists three aspects: (1) The processing algorithms for multi-granularity HFLTS; (2) G-DEMATEL model based on HFLTS; (3) A consensus model with the feedback mechanism. To do that, the relative projection model for multi-granular hesitant fuzzy language information is presented and the similarity degree between individual decision matrices based on relative projection is defined. On the basis, the similarity degree is used to determine the expert’s weight vectors, and the SD-MGHIOWA operator is defined to aggregate the experts opinions. The traditional …G-DEMATEL model is improved by the multi-granular hesitant fuzzy language and a new model is built to analyze the correlation between criterion and weight vector. Furthermore, consensus degree is defined from three levels to identify the inconsistent experts, and a feedback mechanism is activated to generate recommendation advice for the inconsistent experts to increase consensus degree. After that, a comprehensive score mechanism of alternatives is designed to select the most appropriate alternative after the consensus is reached. The main characteristics of the proposed MCGDM is that it not only considers the correlation between criterions but also provides the consensus model with the feedback mechanism in the context of hesitant fuzzy language. Finally, an example is provided to illustrate the feasibility and effectiveness of the developed method, which are then compared to the existing methods. Show more

Keywords: Consensus, MCGDM,G-DEMATEL, HFLTS, relative projection, similarity degree

DOI: 10.3233/JIFS-191805

Citation: Journal of Intelligent & Fuzzy Systems, vol. 38, no. 4, pp. 5215-5229, 2020

Authors: Nguyen, Luong V. | Thu, Nguyen T.

Article Type: Research Article

Abstract: In this paper, we prove a fixed point theorem for intuitionistic fuzzy mappings concerning F -contractions without using the Pompeiu – Hausdorff distance between cut sets of intuitionistic fuzzy mappings. This result and its consequences extend and generalize several results in the literature. An application to the existence for solutions of a delay integral equation of Volterra type and an example are given to illustrate the usability of our results.

Keywords: Intuitionistic fuzzy mappings, intuitionistic fuzzy fixed point, nonlinear F-contractions, delay integral equations

DOI: 10.3233/JIFS-191806

Citation: Journal of Intelligent & Fuzzy Systems, vol. 38, no. 4, pp. 5231-5240, 2020

Authors: Ashraf, Shahzaib | Abdullah, Saleem | Aslam, Muhammad

Article Type: Research Article

Abstract: The spherical fuzzy set (SFS) is one of the most important concepts to accommodate more uncertainties than the intuitionistic fuzzy set, Pythagorean fuzzy set, picture fuzzy set and hence its applications are more extensive. Keeping the feature and the importance of the SFS, the objective of this paper is to present some robust symmetric operational laws for SFSs. Associated with these laws, we define some series of new aggregation operators named as spherical fuzzy (SF) symmetric weighted averaging, SF ordered weighted averaging and SF hybrid weighted averaging operators to aggregate the SF information. Afterwards, we present a group decision making …technique to solve the multi attribute group decision making (MAGDM) based on proposed symmetric aggregation operators and illustrate with a numerical example of renewable energy source selection as a real-life practical example to validate it. A comparative analysis is also conducted to show the superiorities of the proposed method. Show more

Keywords: Spherical fuzzy sets, symmetric sum, symmetric aggregation operators, decision making technique

DOI: 10.3233/JIFS-191819

Citation: Journal of Intelligent & Fuzzy Systems, vol. 38, no. 4, pp. 5241-5255, 2020

Authors: Cheng, Yan | You, Cuilian

Article Type: Research Article

Abstract: In this paper, semi-implicit and implicit Euler schemes for homogeneous fuzzy differential equations with perturbation term reflected by Liu process are introduced. As to the application with implicit term in numerical scheme, we must make the result gradually explicit by iterative method. In order to obtain numerical method with higher accuracy than fuzzy Euler method, fuzzy trapezoidal scheme is derived. Fuzzy trapezoidal scheme is an implicit formation, which is complicated and cumbersome in computational processing. For the sake of this problem, fuzzy Euler-trapezoidal method is proposed to simplify the algorithm. Furthermore, the convergence properties are investigated for numerical methods. At …last, local convergence is proved better than global convergence. Show more

Keywords: Credibility, fuzzy differential equations, Liu process, numerical methods, convergence

DOI: 10.3233/JIFS-191856

Citation: Journal of Intelligent & Fuzzy Systems, vol. 38, no. 4, pp. 5257-5266, 2020

Authors: Shi, Gang | Li, Xiaohua | Jia, Lifen

Article Type: Research Article

Abstract: Uncertain differential equation plays an important role in dealing with dynamical systems with uncertainty. Multi-dimensional uncertain differential equation is a type of differential equation driven by multi-dimensional Liu processes. Stability analysis of a multi-dimensional means insensitivity of the state of a system to small changes in the initial state. This paper focuses on the stability in p -th moment for multi-dimensional uncertain differential equation. The concept of stability in p -th moment for multi-dimensional uncertain differential equation is presented. Some stability theorems for the solution of multi-dimensional uncertain differential equation are given, in which some sufficient conditions for a multi-dimensional …uncertain differential equation being stable in p -th moment and a sufficient and necessary condition for a linear multi-dimensional uncertain differential equation being stable in p -th moment are provided. In addition, this paper discusses the relationships among stability in p -th moment, stability in measure and stability in mean. Show more

Keywords: Uncertainty theory, multi-dimensional uncertain differential equation, moment stability

DOI: 10.3233/JIFS-191880

Citation: Journal of Intelligent & Fuzzy Systems, vol. 38, no. 4, pp. 5267-5277, 2020

Authors: Seman, Laio Oriel | Rodrigues Machado, Victor Hugo | Koehler, Luiz Alberto | Camponogara, Eduardo

Article Type: Research Article

Abstract:  This paper presents adjustments and validation of a model for the process of passenger boarding and alighting of BRT (Bus Rapid Transport) and express bus systems. Such models are of fundamental importance for the implementation of strategies to control the operation of those systems, which allow for quality and efficiency gains in the service. First, a generalized disjunctive programming model is presented in order to adapt a bus headway control formulation according to the number of onboard passengers. Later, as a way to improve the model, real data were collected from the boarding/alighting times of passengers in the Trunk line …10 system in the city of Blumenau, Brazil. These data were used in a two-stage fuzzy regression to take into account the uncertainties associated with the dwell time of the passengers. The actual data collected were used in simulations of the enhanced bus headway control system, showing that even in the presence of disturbances, the system can still operate properly without bunching. Show more

Keywords: Fuzzy regression, BRT systems, headway control, dwell time, GDP

DOI: 10.3233/JIFS-191904

Citation: Journal of Intelligent & Fuzzy Systems, vol. 38, no. 4, pp. 5279-5293, 2020

Authors: Xiao, Zhiyong | Gong, Zengtai | Liu, Kun

Article Type: Research Article

Abstract:  As a key theoretical basis of fuzzy analysis, a new representation of the two-dimension fuzzy numbers is proposed in this paper. We also present a new method for solving the fuzzy system of linear equations with the two-dimension fuzzy data based on the new representation of the two-dimension fuzzy numbers, which may translate a fuzzy system of linear equations into two real systems of linear equations, one is an n  × n real system of linear equations and the other is a (2n ) × (2n ) real system of linear equations, where the coefficients, the right hand term and the unknown …term of the (2n ) × (2n ) real systems are all positive real numbers. Accordingly, we compare the classical methods with the technique on the basis of the study of the two-dimensional fuzzy linear system proposed in this paper for an one-dimensional fuzzy linear system, and the results shows that they have the same solutions. Finally, the conditions of the existence of the solutions for a fuzzy system of linear equations are discussed, and the examples are given to show the efficiency and effectiveness of the method investigated in this article. Show more

Keywords: Fuzzy numbers, two-dimension fuzzy numbers, fuzzy linear system, fuzzy system of linear equations

DOI: 10.3233/JIFS-191927

Citation: Journal of Intelligent & Fuzzy Systems, vol. 38, no. 4, pp. 5295-5315, 2020