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

Authors: Wang, Zhihua

Article Type: Research Article

Abstract: Let k  ≥ 2 be an integer. The purpose of this paper is first to introduce the notation of Felbin’s type fuzzy normed linear spaces, and then by virtue of this notation to study some stability results concerning the more general cubic functional equation of the form f ( x + ky ) + f ( x - ky ) + f ( kx ) = k 2 f ( x + y ) + k 2 f ( x - y ) + ( k 3 - 2 k 2 + …2 ) f ( x ) in the setting of Felbin’s type fuzzy normed linear spaces by employing the direct and fixed point methods. Then some applications of our results for the stability of the cubic functional equation from a real normed space to a Banach space will be demonstrated. Furthermore, the interdisciplinary relation between the theory of Felbin’s type fuzzy spaces and the theory of functional equations are also presented in this paper. Show more

Keywords: Fixed point method, Felbin’s type fuzzy normed linear space, fuzzy real number, generalized Hyers-Ulam stability, 39B82, 39B72, 46B03, 47H10

DOI: 10.3233/JIFS-191418

Citation: Journal of Intelligent & Fuzzy Systems, vol. 38, no. 4, pp. 4733-4742, 2020

Authors: Khan, Zahid | Gulistan, Muhammad | Hashim, Rabiya | Yaqoob, Naveed | Chammam, Wathek

Article Type: Research Article

Abstract: The Shewart S -control chart is commonly used as one of the statistical tools for monitoring the process variability. The existing design of S -control is based on the assumption that inspected quality of the observed process is, an exact and clearly specified quantitative quantity. If however, measured data involve some vague and imprecise observations, the conventional approach of the S -control, cannot be practiced. Designing of a generalized neutrosophic S -control chart which could support the indeterminate values in the processing data is originally developed in this article. The associated properties of proposed design under neutrosophic environment have been …established in this study. The proposed chart represents a general design of the existence structure of the S-chart. Using neutrosophic average run length (ARL n ) as a performance measure, a comparative study of the proposed chart with the conventional approach of S -control under vague parameter values is evaluated. Findings both from analytical and simulation studies indicate that proposed design of S -control leads to efficient and more flexible approach over the traditional S -control. A real data example has been provided for demonstrating the implementation procedure of the proposed design. Show more

Keywords: Quality control, fuzzy charts, neutrosophic measures, S-control chart

DOI: 10.3233/JIFS-191439

Citation: Journal of Intelligent & Fuzzy Systems, vol. 38, no. 4, pp. 4743-4751, 2020

Authors: Ahmad, Jawad | Tahir, Ahsen | Larijani, Hadi | Ahmed, Fawad | Aziz Shah, Syed | Hall, Adam James | Buchanan, William J.

Article Type: Research Article

Abstract:  Energy uncertainty and ecological pressures have contributed to a high volatility in energy demand and consumption. The building sector accounts for 30 to 40% of the total global energy consumption. There is a high demand for novel techniques and viable energy strategies for reducing energy consumption in this domain. Energy prediction models have the potential to play a pivotal role in optimising energy consumption. The proposed work presents a new and accurate Energy Demand Prediction (EDP) model for large buildings. This approach leverages the Random Neural Network (RNN) prediction methodology. The proposed RNN-based EDP is compared with traditional Artificial Neural …Network (ANN), Support Vector Machine (SVM) and linear regression models. A large building is modelled and simulated for one year in the Integrated Environment Solutions Virtual Environment (IES-VE). Several data inputs such as air temperature, internal gain and the number of people (occupancy) are calculated from IES-VE model and provided to traditional ANN and the proposed RNN predictor. A number of test parameters such as Root Mean Square (RMSE), Normalized Root Mean Square (N-RMSE), Mean Absolute Percentage Error (MAPE) and R provide the proposed RNN model with higher accuracy over the traditional ANN, SVM and linear regression. The proposed RNN predictor provides approximately half of the error of the ANN model. The traditional ANN model gives higher error values of 2.07×, 1.83× and 2.35× for RMSE, NRMSE and MAPE, respectively as compared to the proposed RNN model. Furthermore, the error values of SVM and linear regression were also higher than the proposed EDP scheme. Show more

Keywords: Buildings, energy demand, random neural network, prediction

DOI: 10.3233/JIFS-191458

Citation: Journal of Intelligent & Fuzzy Systems, vol. 38, no. 4, pp. 4753-4765, 2020

Authors: Madadi, Masoumeh | Saadati, Reza

Article Type: Research Article

Abstract:  We attempt to solve some bi-additive θ -random operator inequalities and use the fixed point technique to prove the fuzzy version of Hyers-Ulam-Rassias stability of them.

Keywords: Hyers-Ulam-Rassias stability, bi-additive θ-random operator inequality, fuzzy sets, 54H20, 46L05, 39B62, 43A22

DOI: 10.3233/JIFS-191482

Citation: Journal of Intelligent & Fuzzy Systems, vol. 38, no. 4, pp. 4767-4777, 2020

Authors: Wang, Rui | Li, Dengfeng | Yu, Gaofeng

Article Type: Research Article

Abstract: One of the critical activities for bilateral matching decision is matching accuracy, which may be regarded as a type of bilateral matching decision problem with heterogeneous information and attribute association. This paper aims to develop a new fuzzy linear programming method to address such problems. In the proposed method, the multiple attributes are expressed as exact numbers, interval numbers, triangular fuzzy numbers, intuitionistic fuzzy numbers, linguistic terms, and neutrosophic numbers. Firstly, the distance of heterogeneous data and fuzzy measures are introduced; meanwhile, heterogeneous information attribute weights are calculated based on the Choquet integral. Then based on the psychological characteristics of …matching participants’ loss avoidance and superiority maximization, the lexicographical method is used to solve the multi-objective linear programming model to obtain the optimal bilateral transaction matching pair. Finally, an example of second-hand housing online rental-sales matching problems is analyzed to demonstrate the implementation process and applicability of the method proposed in this paper. Show more

Keywords: Bilateral matching decision, attribute association, heterogeneous information, prospect theory

DOI: 10.3233/JIFS-191495

Citation: Journal of Intelligent & Fuzzy Systems, vol. 38, no. 4, pp. 4779-4792, 2020

Authors: Jing, Xin | Li, Shihao | Cheng, Jing | Guo, Junjun

Article Type: Research Article

Abstract: In order to solve the problem of resource waste in colleges and universities, this paper proposes a multidimensional situational information fusion method, which can be used to normalize, analyze and predict the multi-source data such as natural, humanistic and spatio-temporal data on campus so as to meet the application requirements for high-level decision-making. With this method, firstly, the event object model is used to normalize multi-source data. Then, the multidimensional situational information fusion mechanism of twice reasoning is used to obtain the real-time situation and equipment control scheme of the campus so that real-time intelligent semantic understanding is realized. In …the process of reasoning, the improved KNN prediction model is used to predict situational trends, and the prediction information is used to continue deep reasoning and mining. Finally, the real-time energy-saving regulation is carried out through control instructions. In addition, through simulation verification, experimental results show that this method can quickly identify, integrate, and predict the current real-time situation and generate reasoning results, and finally achieve the goal of intelligent control for energy saving on campus. Show more

Keywords: Smart campus, energy saving, situational information fusion, intelligent control

DOI: 10.3233/JIFS-191513

Citation: Journal of Intelligent & Fuzzy Systems, vol. 38, no. 4, pp. 4793-4807, 2020

Authors: Mohanta, Kartick | Dey, Arindam | Pal, Anita | Long, Hoang Viet | Son, Le Hoang

Article Type: Research Article

Abstract:  Information in many real life problems collect from multi agents, i.e., "multipolar information" exists. This multipolar information cannot be properly modeled by m - polar fuzzy graph or intutionistic fuzzy graph. An m -polar neutrosophic model is very much efficient for such real word problems which can construct more precise, flexible, and comparable system as compared to the classical, fuzzy and neutrosophic graph models. In this paper, we present the definition of m -polar neutrosophic graph model. Some new operations, such as union, join, composition and ring sum of two m -polar neutrosophic graph are defined here. We define six …new products on m -polar neutrosophic graphs namely strong product, semi strong product, complete product, direct product, cartesian product and lexicographic product. Some idea of complement, isomorphism, weak and co weak isomorphism on m -polar neutrosophic graph are introduced here. We also present several associated properties and theorems of m -polar neutrosophic graph. We introduce a model of m -polar neutrosophic graph, which is applied in evaluating the teacher’s performance of a college. The performances of the teachers are computed based on the response score (feedback) of the students of the college. We also present a numerical example to illustrate our proposed model. Show more

Keywords: Multipolar information, neutrosophic set, m-polar neutrosophic graph, union, direct product

DOI: 10.3233/JIFS-191520

Citation: Journal of Intelligent & Fuzzy Systems, vol. 38, no. 4, pp. 4809-4828, 2020

Authors: Fezai, Radhia | Mansouri, Majdi | Abodayeh, Kamaleldin | Nounou, Hazem | Nounou, Mohamed | Messaoud, Hassani

Article Type: Research Article

Abstract:  In this paper, a novel fault detection and isolation (FDI) framework based on kernel PCA (KPCA) and generalized likelihood ratio test (GLRT) that is capable of detecting and identifying faults is developed. Specifically, three main objectives are addressed. First, system model identification and residuals generation are addressed using KPCA model. Second, KPCA-based GLRT method is proposed to detect different types of faults in the systems. Third, partial KPCA (PKPCA)-based GLRT is developed for fault isolation. The proposed approach aims to apply a structured PKPCA -based GLRT to a set of sub-models. The fault detection and isolation performances using PKPCA-based GLRT …are illustrated through two examples: a simulated continuous stirred tank reactor (CSTR) data and an air quality monitoring network data. The obtained results demonstrate the effectiveness of the partial KPCA-based GLRT method over the partial PCA-based GLRT method. Show more

Keywords: Partial kernel principal component analysis (PKPCA), fault detection and isolation (FDI), generalized likelihood ratio test (GLRT), continuous stirred tank reactor (CSTR), air quality monitoring networks (AQMN)

DOI: 10.3233/JIFS-191525

Citation: Journal of Intelligent & Fuzzy Systems, vol. 38, no. 4, pp. 4829-4843, 2020

Authors: Liu, Yang | Lio, Waichon

Article Type: Research Article

Abstract: Nowadays, uncertainty theory has become a branch of axiomatic mathematics and has been studied by many researchers. In particular, uncertainty distribution is one of the most important tools to deal with indeterminate quantity in uncertainty theory. Peng and Iwamura (2010) presented a sufficient and necessary condition of a function being an uncertainty distribution. This paper gives a counterexample to illustrate this condition is not appropriate. A revision of the sufficient and necessary condition is also provided in this paper.

Keywords: Uncertainty theory, uncertain variable, uncertainty distribution

DOI: 10.3233/JIFS-191535

Citation: Journal of Intelligent & Fuzzy Systems, vol. 38, no. 4, pp. 4845-4854, 2020

Authors: Zhang, Peiwen | Tao, Zhifu | Liu, Jinpei | Jin, Feifei | Zhang, Junting

Article Type: Research Article

Abstract: The aim of this paper is to develop a multi-attribute group decision making (MAGDM) with picture fuzzy sets based on ELECTRE TRI method, i.e., an ELECTRE TRI based group decision making with picture fuzzy information is given. The MAGDM with picture fuzzy information based on picture fuzzy ELECTRE TRI outranking method is divided into three stages, i.e., the group decision information aggregation stage, determination of parameters and ELECTRE TRI outranking based outranking stage. A novel comparison law for picture fuzzy sets is introduced. In the group decision information aggregation stage, the concept of picture fuzzy normalized weighted Bonferroni mean (PFNWBM …) is developed. The developed decision procedure is further applied to the assessment of energy security. The numerical example shows that the developed group decision procedure is feasible and valid. Show more

Keywords: Multi-attribute group decision making, picture fuzzy sets, ELECTRE TRI, supplier selection, picture fuzzy normalized Bonferroni mean

DOI: 10.3233/JIFS-191540

Citation: Journal of Intelligent & Fuzzy Systems, vol. 38, no. 4, pp. 4855-4868, 2020