Journal of Intelligent & Fuzzy Systems - Volume 35, issue 2

Authors: Raut, Sreenanda | Pal, Madhumangal | Ghorai, Ganesh

Article Type: Research Article

Abstract: This paper deals with fuzzy permutation graph which is introduced as a fuzzified model of a crisp permutation graph. We have defined two types of complements of a fuzzy permutation graph viz. p -complement and f -complement. We have considered various examples to encounter the existence and non-existence of the f -complement graph as a fuzzy permutation graph and established a sufficient condition for the existence of the same. Also, we have calculated the possible number of fuzzy permutation graphs that can represent the f -complement of a fuzzy permutation graph for a given permutation depending on the edge-membership values …of the fuzzy permutation graph. We have also introduced and characterized fuzzy comparability graph. Lastly, we have discussed a real-life application of fuzzy permutation graph. Show more

Keywords: Fuzzy permutation graph, complement of permutation graph, fuzzy comparability graph

DOI: 10.3233/JIFS-172204

Citation: Journal of Intelligent & Fuzzy Systems, vol. 35, no. 2, pp. 2199-2213, 2018

Authors: Helwan, Abdulkader | El-Fakhri, Georges | Sasani, Hadi | Uzun Ozsahin, Dilber

Article Type: Research Article

Abstract: Deep learning algorithms have recently been applied to solving challenging problems in medicine such as medical image classification and analysis. In some areas, those algorithms have outperformed the human medical experts experience in diagnosis. Thus, in this paper we apply three different deep networks to solve the problem of brain hemorrhage identification in CT images. The motivation behind this work is the difficulty that radiologists encounter when diagnosing a hemorrhagic brain CT image, in particularly in the early stages of the brain bleeding. Autoencoder (AE), stacked autoencoder (SAE), and convolutional neural network (CNN) are employed and trained to classify the …CT images into hemorrhagic or non-hemorrhagic. Experimentally, it was found that all employed networks performed differently in terms of accuracy, error reached, and training time. However, stacked autoencoder has achieved a higher accuracy and lesser error compared to other used networks. Show more

Keywords: Deep learning, deep networks, hemorrhage, autoencoder, stacked autoencoder, convolutional neural network

DOI: 10.3233/JIFS-172261

Citation: Journal of Intelligent & Fuzzy Systems, vol. 35, no. 2, pp. 2215-2228, 2018

Authors: Gao, Hui

Article Type: Research Article

Abstract: In this paper, we utilize Hamacher operations and Prioritized aggregation operators to develop some Pythagorean fuzzy Hamacher Prioritized aggregation operators: Pythagorean fuzzy Hamacher Prioritized average (PFHPA) operator, Pythagorean fuzzy Hamacher Prioritized geometric (PFHPG) operator, Pythagorean fuzzy Hamacher Prioritized weighted average (PFHPWA) operator and Pythagorean fuzzy Hamacher Prioritized weighted geometric (PFHPWG) operator. The prominent characteristic of these proposed operators are studied. Then, we have utilized these operators to develop some approaches to solve the Pythagorean fuzzy multiple attribute decision making problems. Finally, a practical example is given to verify the developed approach and a comparative analysis is also delivered.

Keywords: Multiple attribute decision making (MADM), Pythagorean fuzzy numbers(PFNs), Hamacher aggregation operators, prioritized aggregation operators, Pythagorean fuzzy Hamacher Prioritized weighted average (PFHPWA) operator, Pythagorean fuzzy Hamacher Prioritized weighted geometric (PFHPWG) operator

DOI: 10.3233/JIFS-172262

Citation: Journal of Intelligent & Fuzzy Systems, vol. 35, no. 2, pp. 2229-2245, 2018

Authors: Hu, Bo | Bi, Lvqing | Dai, Songsong | Li, Sizhao

Article Type: Research Article

Abstract: A complex fuzzy set is a set whose membership values are vectors in the unit circle in the complex plane. To enhance and extend the applicability of complex fuzzy sets, this paper investigates and develops different types of distance measures for complex fuzzy sets. Several distance measures of complex fuzzy sets are introduced. After that, the application of these distances to continuity problems of complex fuzzy operations is given.

Keywords: Distances, continuity, complex fuzzy sets, complex fuzzy operations.

DOI: 10.3233/JIFS-172264

Citation: Journal of Intelligent & Fuzzy Systems, vol. 35, no. 2, pp. 2247-2255, 2018

Authors: Jun, Young Bae | Song, Seok-Zun | Kim, Seon Jeong

Article Type: Research Article

Abstract: As a foundation to study the similarity measure with applications in pattern recognition, (normalized) Hamming distances and (normalized) Euclidean distances between hyper structures based on two and three parameters are established. An example to show that these distances are not metrics in general is provided, and conditions for these distances to be metrics are considered. The notions of length fuzzy ideals with four types are introduced, and related properties and their relations are investigated. Relations between length fuzzy ideals and length fuzzy subalgebras are investigated. Conditions for a length fuzzy subalgebra to be a length fuzzy ideal are provided. …Characterizations of a length fuzzy ideal are considered. Show more

Keywords: Hyperfuzzy set, hyperfuzzy subalgebra, length of hyperfuzzy set, length fuzzy subalgebra, length fuzzy ideal, (normalized) Hamming distance, (normalized) Euclidean distance

DOI: 10.3233/JIFS-172270

Citation: Journal of Intelligent & Fuzzy Systems, vol. 35, no. 2, pp. 2257-2268, 2018

Authors: Li, Shiyong | Sun, Wei | Liu, Jia

Article Type: Research Article

Abstract: In the last years peer-to-peer (P2P) networks have become an important and prevalent architecture in the Internet and have been commonly applied into many scenarios such as big data storage and management, cloud computing, vehicular networks and social networking. The overall performance of P2P networks mainly depends on cooperation between peers, so as to encourage each peer to contribute its resource to others and reduce free-riding behaviors. Then each peer has to face a dilemma decision that how much of its available bandwidth it will allocate to uploads for others and how much it will reserve for its own downloads. …In this paper we consider bandwidth allocation in P2P networks where both upstream and downstream flows traverse one common access link with finite capacity, and formulate the utility maximization model for bandwidth allocation. The model is difficult to resolve since it is an interplay problem between upload and download decisions of each peer. In order to achieve the optimal bandwidth allocation, we present a heuristic scheme using Particle Swarm Optimization (PSO), and discuss the performance with numerical examples in different network scenarios. Simulation results show that the scheme can achieve the global optimum within reasonable iterations. Show more

Keywords: Peer-to-peer networks, resource allocation, particle swarm optimization, utility maximization

DOI: 10.3233/JIFS-172276

Citation: Journal of Intelligent & Fuzzy Systems, vol. 35, no. 2, pp. 2269-2280, 2018

Authors: Ma, Yanying | Huang, Jin | Liu, Hongyan | Wang, Changqing

Article Type: Research Article

Abstract: The purpose of this paper is to provide an efficient numerical technique for solving two-dimensional nonlinear fuzzy Fredholm integral equations. The fuzzy Gauss quadrature rule is applied to the above mentioned equation, which reduces the fuzzy integral equations to the nonlinear approximate equations that can be easily solved by a numerical iterative algorithm. The convergence of the presented numerical method is investigated under several mild conditions. Finally, some illustrative numerical experiments are provided to illustrate the efficiency and accuracy of the proposed method.

Keywords: Two-dimensional, nonlinear, fuzzy Fredholm integral equations, Gauss quadrature, Iterative method

DOI: 10.3233/JIFS-17402

Citation: Journal of Intelligent & Fuzzy Systems, vol. 35, no. 2, pp. 2281-2291, 2018

Authors: Arghish, Omid | Tavakkoli-Moghaddam, Reza | Shahandeh-Nookabadi, Ali | Rezaeian, Javad

Article Type: Research Article

Abstract: In this paper, a mixed-integer non-linear programming model has been proposed to design an integrated cellular manufacturing system with type-2 fuzzy parameters. The integrated cellular manufacturing system consists of the following elements: cell formation, cellular layout and operator and tool assignment. One of the important features of the proposed model is considering total expected cost criteria to operator assignment. Tool costs, inter and intra cell movement costs and machine constant costs are type-2 fuzzy variables. In order to defuzzification of parameters the critical value (CV)-based reduction method is used to reduce type-2 fuzzy variables into type-1 fuzzy variables and finally …the centroid defuzzification method defuzzifies fuzzy costs to crisp numbers of the costs. Furthermore, to solve a small-sized numerical example, the Branch and Bound algorithm with the Lingo software has been used. Because of NP-hardness of the model for large-sized problems and no exist benchmark to validate the performance of the proposed model, three tuned meta-heuristic algorithms (i.e., particle swarm optimization, differential evolution and fire fly) are presented too. The results show that the particle swarm optimization algorithm has better statistically performances in most problems. Show more

Keywords: Cellular manufacturing system design, fuzzy type-2, defuzzification, tuned meta-heuristic methods

DOI: 10.3233/JIFS-17608

Citation: Journal of Intelligent & Fuzzy Systems, vol. 35, no. 2, pp. 2293-2308, 2018

Authors: Wang, Yi | Wang, Jian-Qiang | Wang, Tie-Li

Article Type: Research Article

Abstract: Stock evaluation is a significant decision-making activity for investors. Due to the complexity of stock exchange market, evaluation information may be fuzzy and stochastic in the meantime. Therefore, it is essential to conduct the research on fuzzy stochastic multi-criteria decision-making (FSMCDM) methods. In this paper, at the beginning, we propose interval neutrosophic probability from the definition of neutrosophic probability. Then, a novel MCDM method is proposed with interval neutrosophic probability based on regret theory, in which criteria values are interval neutrosophic numbers (INNs). The method proposed with interval neutrosophic probability may be much better than methods using classic probability or …fuzzy probability. Next, we apply the proposed method to stock selection problems and discuss the influence of parameters on ranking results. Finally, we compare regret theory with prospect theory, which is also an important theory of bounded rationality just like regret theory, to emphasize the characteristics the regret theory. Moreover, a comparative analysis is also conducted between the proposed method and existing methods under interval neutrosophic environment to demonstrate efficiency and applicability of the proposed method. Show more

Keywords: Multi-criteria decision-making, interval neutrosophic sets, interval neutrosophic probability, bounded rationality, regret theory

DOI: 10.3233/JIFS-17622

Citation: Journal of Intelligent & Fuzzy Systems, vol. 35, no. 2, pp. 2309-2322, 2018

Authors: Wang, Honghai | Ju, Yanbing | Liu, Peide | Ju, Dawei | Liu, Zhengmin

Article Type: Research Article

Abstract: To date, type-2 fuzzy sets have attracted much more interest of the researchers, which are more capable to handle uncertain and imprecision information than type-1 fuzzy sets. Heronian mean is a classical mean aggregation operator which can effectively consider the interrelationships between various arguments. In this paper, we extend Heronian mean to trapezoidal interval type-2 fuzzy environment and present some aggregation operators, such as trapezoidal interval type-2 fuzzy generalized Heronian mean (TIT2FGHM) operator and trapezoidal interval type-2 fuzzy weighted generalized Heronian mean (TIT2FWGHM) operator. Then, we further discuss several desirable properties and particular cases when the parameters take diverse values …in detail. Moreover, concerning multiple attribute group decision making problems in which the decision attributes are interdependent and the attribute values take the forms of interval type-2 fuzzy numbers, we propose a new approach based on TIT2FWGHM operator. Finally, we provide a numerical example of providers selection to illustrate the practicality and effectiveness of the proposed method and give a comparison analysis between the proposed method and existing methods. Show more

Keywords: Multiple attribute group decision making, trapezoidal interval type-2 fuzzy sets, trapezoidal interval type-2 fuzzy generalized Heronian mean operator, trapezoidal interval type-2 fuzzy weighted generalized Heronian mean operator

DOI: 10.3233/JIFS-17636

Citation: Journal of Intelligent & Fuzzy Systems, vol. 35, no. 2, pp. 2323-2337, 2018