Journal of Intelligent & Fuzzy Systems - Volume 39, issue 3

Authors: Wang, Guijun | Zhou, Jie

Article Type: Research Article

Abstract: The polygonal fuzzy set is an effective tool to express a class of fuzzy information with the help of finite ordered real numbers. It can not only guarantee the closeness of arithmetic operation of the polygonal fuzzy sets, but also has good linearity and intuitiveness. Firstly, the concept of the n -intuitionistic polygonal fuzzy set (n -IPFS) is proposed based on the intuitionistic fuzzy set and the polygonal fuzzy set. The ordered representation and arithmetic operation of n -IPFS are given by an example. Secondly, a new aggregation method for multi attribute fuzzy information is given based on the n …-IPFS operations and the weighted arithmetic average operator, and the ranking criteria of n -IPFS are obtained by using the score function and the accuracy function. Finally, a new group decision making method is proposed for urban residents to choose the livable city problem based on the decision matrix of the n -IPFS, and the effectiveness of the proposed method is explained by an actual example. Show more

Keywords: Polygonal fuzzy set, n-intuitionistic polygonal fuzzy set (n-IPFS), ordered representation, aggregation operator, score function, group decision making

DOI: 10.3233/JIFS-191844

Citation: Journal of Intelligent & Fuzzy Systems, vol. 39, no. 3, pp. 3503-3518, 2020

Authors: Deng, Xue | Chen, Chuangjie

Article Type: Research Article

Abstract: The purpose of this paper is to solve the portfolio selection problem when historical data are unavailable. In this paper, the problem is viewed as a multi-criteria decision making (MCDM) problem under intuitionistic fuzzy circumstances, and the prospect theory is utilized to reflect decision makers’ psychological state, which is always bounded rational. Therefore, a new approach to solve MCDM problems is presented based on the following improvements. (a) The entropy-weighted method with extreme data resistance is proposed instead of weight function to deal with the weight of criteria, because weight stands for the decision maker’s preference of criteria rather than …objective probability and should not be distorted. (b) A new entropy-weighted method with confidence degree is presented, which can not only describe the uncertainty of information each criterion provides but also reflect the decision maker’s confidence in the information. (c) To reduce the interference from extreme data, the median is selected as reference point instead of mean or extreme value. (d) Based on the distance measure, the intuitionistic fuzzy prospect value function is presented to capture decision makers’ psychological state. Finally, a novel model with prospect value constraint and risk preference is constructed to allocate investment ratios. For our proposed method and model, two numerical applications are given to verify their validity and the sensitivity analysis is carried out to illustrate their practical significance. Show more

Keywords: Portfolio selection, intuitionistic fuzzy set, prospect theory, entropy-weighted method, distance measure

DOI: 10.3233/JIFS-191848

Citation: Journal of Intelligent & Fuzzy Systems, vol. 39, no. 3, pp. 3519-3543, 2020

Authors: Bernal, Emer | Castillo, Oscar | Soria, José | Valdez, Fevrier

Article Type: Research Article

Abstract: In this paper we present a modification based on generalized type-2 fuzzy logic to an algorithm that is inspired on the movement of large masses of stars and their attractive force in the universe, known as galactic swarm optimization (GSO). The modification consists on the dynamic adjustment of parameters in GSO using type-1 and type-2 fuzzy logic. The main idea of the proposed approach is the application of fuzzy systems to dynamically adapt the parameters of the GSO algorithm, which is then applied to parameter optimization of the membership functions of the bar and ball fuzzy controller. The experimentation was …carried out using the original GSO algorithm, and the type-1 and type-2 fuzzy variants of GSO. In addition a disturbance was added to the bar and ball fuzzy controller plant to be able to validate the effectiveness of the proposed approach in optimizing fuzzy controllers. A formal comparison of results is performed with statistical tests showing that GSO with generalized type-2 fuzzy logic is the best method for optimizing the fuzzy controller. Show more

Keywords: Fuzzy logic, galactic swarm optimization, fuzzy systems, adjustment of parameters, fuzzy controller

DOI: 10.3233/JIFS-191873

Citation: Journal of Intelligent & Fuzzy Systems, vol. 39, no. 3, pp. 3545-3559, 2020

Authors: Lin, Jian | Li, Meiling | Cui, Chunsheng | Tian, Zhiyong

Article Type: Research Article

Abstract: Considering both cardinal characteristics and double powers, the anti-symmetric interval excess value is defined. The least square pre-nucleolus for interval cooperative games is presented by making a single-objective programming model. We obtain the analytic expression of least square pre-nucleolus using Lagrange multiplier method, and construct an effective quadratic programming model to derive the least square pre-nucleolus of incomplete interval cooperative games. In addition, the application of least square pre-nucleolus in land pollution control is provided to show the validity of the proposed solution concepts.

Keywords: Least square pre-nucleolus, interval excess value, cooperative game, incomplete payoff

DOI: 10.3233/JIFS-191882

Citation: Journal of Intelligent & Fuzzy Systems, vol. 39, no. 3, pp. 3561-3575, 2020

Authors: Van Hop, Nguyen

Article Type: Research Article

Abstract: In this paper, we investigate all relative relationships between two fuzzy numbers. Then, we introduce new relative measures to compare two fuzzy numbers instead of using absolute value to represent the fuzzy number. These measures address the dominant level that one fuzzy number is better than the other in terms of its position and shape. The so-called absolute fuzzy dominant degree and relative fuzzy dominant degree are developed to measure the differences between two fuzzy numbers applying for different types of constraint. These measures could capture all the shape’s characteristics and relative positions of fuzzy numbers. Finally, the fully fuzzy …multi-objective decision making (FFMODM) problem is solved by using these fuzzy dominant degrees. For validation, we compare our approach to the fuzzy ranking method of the linear ranking function. Our obtained results show better performance. Show more

Keywords: Fuzzy dominant degree, linear ranking function, fully fuzzy multi-objective linear programming problem

DOI: 10.3233/JIFS-191888

Citation: Journal of Intelligent & Fuzzy Systems, vol. 39, no. 3, pp. 3577-3595, 2020

Authors: Wang, Guixiang | Shen, Chenjie | Wang, Yanyan

Article Type: Research Article

Abstract: In this paper, the problem of approximating general fuzzy number by using multi-knots piecewise linear fuzzy number is studied. First, r  - s -knots piecewise linear fuzzy numbers are defined, and the conceptions of the I -nearest r  - s -knots piecewise linear approximation and the II -nearest r  - s -knots piecewise linear approximation are introduced for a general fuzzy number. Then, most importantly, we set up the methods to get the I -nearest r  - s -knots piecewise linear approximation and the II -nearest r  - s -knots piecewise linear approximation for a general fuzzy number. And then, we investigate some properties of …the new approximation operators. Finally, we also present specific examples to show the effectiveness, usability and advantages of the methods proposed in this paper, and compare the methods with some other approximation algorithms. Show more

Keywords: Approximations, membership functions, fuzzy numbers, multi-knots piecewise linear fuzzy numbers

DOI: 10.3233/JIFS-191896

Citation: Journal of Intelligent & Fuzzy Systems, vol. 39, no. 3, pp. 3597-3615, 2020

Authors: Mishra, Amit Kumar | Joshi, Nisheeth | Mathur, Iti

Article Type: Research Article

Abstract: Analysis of the terrorist network is a process to analyze or deriving Useful information from the available network data. Ranking The Terrorist nodes within a terrorist network in identifying the most influential node is essential for the elaboration of Covert network mining. The purpose of this paper is to implement an approach of two dimensional criteria weight determination along with logarithmic concept implementation for vital node investigation in term of their influential ability. Betweenness, Closeness, Eigenvector, Hub, In-degree, Inverse closeness, Out-degree and Total degree considered as criteria and terrorist involved in 9/11 terrorist attack considered as alternatives used to formulate …a decision problem. Although an integrated approach of Fuzzy based subjective-Aggregation concept based objective criteria weight determination and Ranking alternatives by the implementation of the logarithmic concept is used to solve multi criteria decision problems in order to show the application of most centralized node identification process which can be obtained easily by classification and selection problem solution using multiple criteria and alternatives. Show more

Keywords: Social network, Social Network Analysis(SNA), Terrorist network analysis(TNS), Fuzzy based criteria weight, Aggregation criteria weighting, Approach of logarithmic concept(APLOCO), Multi Criteria Decision Making(MCDN), Centrality measures, Most influential node

DOI: 10.3233/JIFS-191899

Citation: Journal of Intelligent & Fuzzy Systems, vol. 39, no. 3, pp. 3617-3631, 2020

Authors: Xiao, Wei | Dey, Arindam | Son, Le Hoang

Article Type: Research Article

Abstract: Picture fuzzy graph (PFG) is an extended version of intuitionistic fuzzy graph (IFG) to model the uncertain real world problems, in which IFG may fail to model those problems properly. PFG is more precise, flexible and compatible than IFG to deal the real-life scenarios which consists of information these types: yes, abstain, no and refusal. The main focus of our study is to present the concept of isomorphic PFG, regular PFG (RPFG) and picture fuzzy multigraph. In this paper, we present the notation of RPFG. Many different types of RPFGs such as regular strong PFG, regular complete PFG, complete bipartite …PFG and regular complement PFG are introduced. We also describe the concepts of d n and td n -degree of a vertex in a RPFG. Based on those two types of degrees, we classify the regularity of PFG into 3 type’s namely, d n - RPFG, td n -RPFG and n - highly irregular PFG. Several theorems of those RPFG are presented here. We define the busy vertex and free vertex in a RPFG. We present the notations of μ -complement, homomorphism, isomorphism, weak isomorphism and co weak isomorphism of RPFG. Some significant theorems on isomorphism and μ - complement of RPFG are derived here. We also introduce the notation of picture fuzzy multigraph. We present a mathematical model of communication network and transportation network by using picture fuzzy multigraph and real time data are collected so that the transportation network/communication network can work efficiently. Show more

Keywords: Regular fuzzy graph, picture fuzzy set, intuitionistic fuzzy graph

DOI: 10.3233/JIFS-191913

Citation: Journal of Intelligent & Fuzzy Systems, vol. 39, no. 3, pp. 3633-3645, 2020

Authors: Xiao, Wenbin | Zhu, Shunying

Article Type: Research Article

Abstract: With the continuous perfection of the technology of automated vehicles (AV), data exchange can be conveniently carried out between different vehicles and infrastructures, which makes it easier to collect different types of traffic parameters. Therefore, under AV environment, the vehicle status can be determined to obtain the periodic arrival rate of movements and a more efficient control strategy can be designed. The combination styles of phase movement (PM), an important factor of the signal control, will also become more complicated for intersection signal control. The current methods about the PM combination styles only considered two kinds of movement combination styles, …and cannot get the extensive phase combination (PC) schemes in AV environment. This paper documents a new PM combination method by fractionalized movement compatibility relations, and uses discrete mathematics to calculate overall PC schemes. Then, a PM dynamic combination control method is proposed to optimize cyclically signal control. The analysis results of numerical tests showed that the average vehicle of the proposed method is reduced by 6.9 % and 14.5 % for 20 signal cycles, respectively, and the total throughput can be increased by 4.3% and 7.8%, respectively, compared with the dynamic timing control mode and the fixed control mode. Results show that the proposed method could significantly improve intersection control effectiveness. Show more

Keywords: Intersection control, movements compatible, phase combination schemes, phase movement dynamic combination, vehicle delay

DOI: 10.3233/JIFS-191939

Citation: Journal of Intelligent & Fuzzy Systems, vol. 39, no. 3, pp. 3647-3664, 2020

Authors: Wang, Jing | Yan, Bing | Wang, Guohao | Yu, Liying

Article Type: Research Article

Abstract: Quality function deployment (QFD) is an useful tool to solve Multi-criteria decision making, which can translate customer requirements (CRs) into the technical attributes (TAs) of a product and helps maintain a correct focus on true requirements and minimizes misinterpreting customer needs. In applying quality function deployment, rating technical attributes from input variables is a crucial step in fuzzy environments. In this paper, a new approach is developed, which rates technical attributes by objective penalty function and fuzzy technique for order preference by similarity to an ideal solution (TOPSIS) based on weighted Hamming distance under the case of uncertain preference characteristics …of decision makers in fuzzy quality function deployment. A pair of nonlinear programming models with constraints and a relevant pair of nonlinear programming models with unconstraints called objective penalty function models are proposed to gain the fuzzy important numbers of technical attributes. Then, this paper compares the fuzzy numbers by fuzzy technique for order preference by similarity to an ideal solution (TOPSIS) method based on weighted Hamming distance in consideration of the uncertain preference characteristics of decision makers. To end with, the developed method is examined with the numerical examples. Show more

Keywords: Quality function deployment, objective penalty function, fuzzy TOPSIS, weighted Hamming distance

DOI: 10.3233/JIFS-191955

Citation: Journal of Intelligent & Fuzzy Systems, vol. 39, no. 3, pp. 3665-3679, 2020