Journal of Intelligent & Fuzzy Systems - Volume 35, issue 1

Authors: Garai, Totan | Chakraborty, Dipankar | Roy, Tapan Kumar

Article Type: Research Article

Abstract: Generalized intuitionistic fuzzy numbers (GIFNs), a special kind of intuitionistic fuzzy set (IFSs) on the real number set are useful to deal with ill-known quantities in fuzzy optimization problems. How to measure the value and uncertainty of a GIFN is of eminent importance. The earlier part of the paper describes the concept of the possibility mean, variance and covariance of generalized intuitionistic fuzzy number. Furthermore, we show that possibility mean and variance of linear combination of generalized intuitionistic trapezoidal fuzzy numbers can be computed in a conventional way to those probability theory. Another part of this paper investigates a multi-item …inventory model with inventory level dependent demand in generalized intuitionistic fuzzy environment. By employing the possibility mean and variance, the multi-item generalized intuitionistic fuzzy inventory model (MGIFim) is transformed into an equivalent deterministic linear programming problem. Finally, the model is illustrated with the help of numerical example, and to validated the proposed model few sensitivity analyses are also presented under different parameters. Show more

Keywords: Generalized intuitionistic fuzzy number, possibility mean & variance, multi-items, inventory level dependent demand

DOI: 10.3233/JIFS-17298

Citation: Journal of Intelligent & Fuzzy Systems, vol. 35, no. 1, pp. 1021-1036, 2018

Authors: Tang, Jie | Meng, Fanyong | Li, Cunlin | Li, Chenhua

Article Type: Research Article

Abstract: To denote the uncertainty and fuzziness of the decision makers’ qualitative judgments, uncertain multiplicative linguistic fuzzy preference relations (UMLFPRs) are proposed. This paper focuses on the consistency of this type of preference relations, which can guarantee the reasonable ranking orders. To do this, we first analyze the differences between the operations on linguistic variables and on uncertain linguistic variables. Then, we give the concepts of quasi UMLFPRs (QUMLFPRs) and consistent QUMLFPRs. Subsequently, we introduce a consistency concept for UMLFPRs. Using this consistency concept, goal programming models are constructed to judge the consistency of UMLFPRs. Then, an approach to deriving consistent …UMLFPRs from inconsistent ones is introduced. Furthermore, goal programming models to estimate the missing values in incomplete UMLFPRs are established. Considering group decision making, a consensus index is proposed, and an improving consensus method is provided. Furthermore, a method to group decision making with UMLFPRs is proposed, which can address the inconsistent and incomplete cases. Meanwhile, the associated numerical examples are offered to show the concrete application of the developed procedure. Show more

Keywords: Decision making, UMLFPR, consistency, consensus, goal programming model

DOI: 10.3233/JIFS-17365

Citation: Journal of Intelligent & Fuzzy Systems, vol. 35, no. 1, pp. 1037-1054, 2018

Authors: Wang, Mei | Xin, Xiaolong | Wang, Juntao

Article Type: Research Article

Abstract: In this paper, we introduced a new class of hoops, which are called integral hoops. In order to portray integral hoops, we introduced a new type of filters, named integral filters. We consider fundamental properties of integral hoops and integral filters and give some characterizations of them. Also, we discuss the relations between integral hoops and other types of hoops and prove that an integral hoop is a prefect and local hoop. Especially, we proved that every cancellative hoop is an integral hoop but the converse is not true. Finally, we discuss the relations between integral filters and some types …of filters (obstinate, primary, prefect filters) in hoops and prove a filter F is an integral filter if and only if L /F is an integral hoop. Show more

Keywords: Integral hoop, cancellative hoop, integral filter, obstinate filter, primary filter

DOI: 10.3233/JIFS-17366

Citation: Journal of Intelligent & Fuzzy Systems, vol. 35, no. 1, pp. 1055-1062, 2018

Authors: Mao, Hua | Zhao, Shufeng | Yang, Lanzhen

Article Type: Research Article

Abstract: In this paper, we firstly present some properties of classical concepts (i.e., formal concepts induced by positive operators and negative operators) and three-way concepts, respectively. Based on this, we systematically study the relationships between two types of three-way concepts (i.e., object-induced three-way concepts and attribute-induced three-way concepts) and classical concepts. More specifically, we can obtain all object-induced (attribute-induced) three-way concepts based on four relationships between all classical concepts and object-induced (attribute-induced) three-way concepts, where the four relationships are characterized by four theorems. After that, two algorithms are proposed to build an object-induced concept lattice and an attribute-induced concept lattice, respectively, …and examples are given to verify these algorithms. Show more

Keywords: Three-way concept analysis, three-way concept, formal concept, relationship

DOI: 10.3233/JIFS-17530

Citation: Journal of Intelligent & Fuzzy Systems, vol. 35, no. 1, pp. 1063-1075, 2018

Authors: Zhao, Zhongying | Zheng, Shaoqiang | Li, Chao | Sun, Jinqing | Chang, Liang | Chiclana, Francisco

Article Type: Research Article

Abstract: Community detection aims to discover cohesive groups in which people connect with each other closely in social networks. A variety of methods have been proposed to detect communities in social networks. However, there is still few work to make a comparative study on those methods. In this paper, we first introduce and compare several representative methods on community detection. Then we implement those methods with python and make a comparative analysis on different real world social networking data sets. The experimental results have shown that GN algorithm is suitable for small networks, while LPA algorithm has a better scalability. FU …algorithm is of the best stability. This work could help researchers to understand the ideas of community detection methods better and select appropriate method on demand more easily. Show more

Keywords: Social network mining, community detection, comparative analysis

DOI: 10.3233/JIFS-17682

Citation: Journal of Intelligent & Fuzzy Systems, vol. 35, no. 1, pp. 1077-1086, 2018

Authors: Begnini, Mauricio | Bertol, Douglas Wildgrube | Martins, Nardênio Almeida

Article Type: Research Article

Abstract: In this paper an adaptive fuzzy variable structure control integrated with a proportional plus derivative control is proposed as a robust solution to the trajectory tracking control problem for a differential wheeled mobile robot under effect of uncertainties and disturbances. To minimize the problems found in practical implementations of the classical variable structure controllers, a single-input single-output adaptive fuzzy logic system replaces the discontinuous portion of the controller. Stability analysis and the convergence of tracking errors considering the adaptive law are guaranteed with basis on the Lyapunov theory. Simulation and experimental results of the proposed control strategy are explored.

Keywords: Differential wheeled mobile robot, trajectory tracking, adaptive fuzzy variable structure control, uncertainties and disturbances, Lyapunov theory

DOI: 10.3233/JIFS-17699

Citation: Journal of Intelligent & Fuzzy Systems, vol. 35, no. 1, pp. 1087-1101, 2018

Authors: Bay, Omer Faruk | Yatak, Meral Ozarslan

Article Type: Research Article

Abstract: This paper presents a practical implementation of an interval type-2 fuzzy logic controller for two stages photovoltaic system consisting of DC- DC boost converter and three-phase inverter. The power converter circuits are nonlinear and have uncertainties. These uncertainties cause noise and delay in the response of power systems. A photovoltaic system has also uncertainties caused by itself. The change in temperature and irradiation cause the change in parameters of photovoltaic systems. Conventional controllers and type-1 fuzzy controllers can’t overcome uncertainties. The main objective of this study is to show the superiority of interval type-2 fuzzy logic controller to overcome the …uncertainties. Interval type-2 fuzzy logic controller algorithm was developed for DC- DC boost converter and three-phase space vector modulated inverter. To make comparison, the system was controlled by a type-1 and an interval type-2 fuzzy controller respectively. Simulation studies and real time application were performed. Settling time, overshoot and ripple voltage were investigated for the boost converter. Current and voltage harmonic analysis, frequency and phase angle data were analyzed for three-phase inverter. According to the simulation results and the practical results, interval type-2 fuzzy logic controller offered better solution for the whole system. Show more

Keywords: Type-2 fuzzy logic control, DC-DC power converter, photovoltaic systems, two stages converter

DOI: 10.3233/JIFS-17865

Citation: Journal of Intelligent & Fuzzy Systems, vol. 35, no. 1, pp. 1103-1117, 2018

Authors: Ebrahimzadeh, Abolfazl | Eslami Giski, Zahra

Article Type: Research Article

Abstract: In the papers by Riecan et al. (Fuzzy Sets Syst. 96, 1998) and Ebrahimzadeh et al. (Mathematics, 5, 2017) some fuzzy modifications of Shannon and logical entropy have been studied and the general scheme involving the presented models has been introduced. The present paper deals with providing analogies of these results for the case of Tsallis entropy. In particular, chain rules and concavity property for Tsallis entropy of partitions on the appropriate algebraic structure are established. Using the concept of Tsallis entropy of partitions, we define Tsallis entropy of dynamical systems and prove concavity property of Tsallis entropy of dynamical …systems. Finally, we prove the version of Kolmogorov-Sinai Theorem for Tsallis entropy. Show more

Keywords: Tsallis entropy, M-preserving transformation, dynamical system, generator

DOI: 10.3233/JIFS-17901

Citation: Journal of Intelligent & Fuzzy Systems, vol. 35, no. 1, pp. 1119-1126, 2018

Authors: Muralidaran, C. | Venkateswarlu, B.

Article Type: Research Article

Abstract: In this paper the generalized symmetric fuzzy numbers are brought into the knowledge and a new ranking function was proposed for it. Using this ranking function, any kind of fuzzy linear programming problem can be solved. The proposed ranking function is illustrated by the numerical example. Moreover, Comparison of optimal solution of proposed and existing methods are discussed. The proposed method is posing no difficulty to understand and execute the fuzzy optimal solution of a symmetric fuzzy linear programming problem in real world situations.

Keywords: Symmetric fuzzy valued linear programming problems, Generalized fuzzy numbers, Generalized membership function, Generalized ranking function.

DOI: 10.3233/JIFS-17917

Citation: Journal of Intelligent & Fuzzy Systems, vol. 35, no. 1, pp. 1127-1131, 2018

Authors: Song, Wen | Zhu, Jianjun | Zhang, Shitao | Liu, Xiaodi

Article Type: Research Article

Abstract: The multi-stage uncertain risk decision-making problems are very common in production and life, such as emergency decision-making problems, batch product sampling inspection, etc. It’s very complex and interesting in applications. The multi-stage uncertain risk decision-making process often involves multiple reference points owing to decision-making environment and decision-makers’ mentalities. This paper aims to solve the multi-stage uncertain risk decision-making problems without probability information. Decision makers’ psychological behaviors are considered by setting the thresholds of possibility degree in different states. The attribute weight optimization model is established based on the extended LINMAP method through a two-stage model, considering the principle of maximizing …the ranking consistency of alternatives in all states. The stage weight optimization model is established in the viewpoint of minimizing the opportunity loss. The optimal alternative is selected according to the compromise ranking values, which consider the satisfaction of decision makers. A case is presented to illustrate the feasibility and validity of the proposed method. Show more

Keywords: Multi-stage uncertain risk decision-making, weight optimization, LINMAP, relative entropy, reference point

DOI: 10.3233/JIFS-17931

Citation: Journal of Intelligent & Fuzzy Systems, vol. 35, no. 1, pp. 1133-1146, 2018