Journal of Intelligent & Fuzzy Systems - Volume 39, issue 5

Authors: Van Hoa, Ngo | Allahviranloo, Tofigh | Vu, Ho

Article Type: Research Article

Abstract: In this paper, we present the Hyers–Ulam stability and Hyers–Ulam-Rassias stability (HU-stability and HUR-stability for short) for fuzzy initial value problem (FIVP) by using fixed point theorem. We improve and extend some known results on the stability for FDEs by dropping some assumptions. Some examples illustrate the theoretical results.

Keywords: HU stability, HUR stability, fuzzy differential equation, uncertainly, fixed point theory, 34A12, 45J05

DOI: 10.3233/JIFS-201109

Citation: Journal of Intelligent & Fuzzy Systems, vol. 39, no. 5, pp. 7747-7755, 2020

Authors: Gembalczyk, Grzegorz | Duda, Slawomir | Switonski, Eugeniusz | Mezyk, Arkadiusz

Article Type: Research Article

Abstract: Training with use of mechatronic devices is an innovative rehabilitation method for patients with various locomotor dysfunction. High efficiency of training is noted in systems that combine a treadmill or orthosis with a body weight support system. Speed control is a limitation of such rehabilitation systems. In commercially available devices, the treadmill speed is constant or set by the therapist. Even better training results should be obtained for devices in which the speed of the treadmill will be automatically adjusted to the patient walking pace. This study presents a mechatronic device for locomotor training that uses an algorithm to adjust …the speed of the treadmill. This speed is controlled with use of a sensor that measures the rope inclination. The end of rope is fastened to the orthopaedic harness. Speed control is realized in such a way that ensures the smallest possible swing angle of the rope. A fuzzy controller was applied to adjust the treadmill speed. The drive system of the treadmill is equipped in a servodrive with PMSM motor and energy recovery module, which allows smooth speed control, limiting acceleration and minimizing electricity consumption. The presented solution was implemented in a real object and subjected to experimental tests. Show more

Keywords: Fuzzy controller, rehabilitation treadmill, speed adaptation, gait reeducation

DOI: 10.3233/JIFS-201111

Citation: Journal of Intelligent & Fuzzy Systems, vol. 39, no. 5, pp. 7757-7767, 2020

Authors: Basiri, Mohammad-Ali | Alinezhad, Esmaeil | Tavakkoli-Moghaddam, Reza | Shahsavari-Poure, Nasser

Article Type: Research Article

Abstract: This paper presents a multi-objective mathematical model for a flexible job shop scheduling problem (FJSSP) with fuzzy processing times, which is solved by a hybrid intelligent algorithm (HIA). This problem contains a combination of a classical job shop problem with parallel machines (JSPM) to provide flexibility in the production route. Despite the previous studies, the number of parallel machines is not pre-specified in this paper. This constraint with other ones (e.g., sequence-dependent setup times, reentrant workflows, and fuzzy variables) makes the given problem more complex. To solve such a multi-objective JSPM, Pareto-based optimization algorithms based on multi-objective meta-heuristics and multi-criteria …decision making (MCDM) methods are utilized. Then, different comparison metrics (e.g., quality, mean ideal distance, and rate of achievement simultaneously) are used. Also, this paper includes two major phases to provide a new model of the FJSSP and introduce a new proposed HIA for solving the presented model, respectively. This algorithm is a hybrid genetic algorithm with the SAW/TOPSIS method, namely HGASAW/HGATOPSIS. The comparative results indicate that HGASAW and HGATOPSIS outperform the non-dominated sorting genetic algorithm (NSGA-II) to tackle the fuzzy multi-objective JSPM. Show more

Keywords: Flexible job shop scheduling, multi-objective optimization, sequence-dependent setup times, multi-criteria decision making, hybrid intelligent algorithms.

DOI: 10.3233/JIFS-201120

Citation: Journal of Intelligent & Fuzzy Systems, vol. 39, no. 5, pp. 7769-7785, 2020

Authors: Imran, Muhammad | Akhter, Shehnaz | Shaker, Hani

Article Type: Research Article

Abstract: Inequalities are a useful method to investigate and compare topological indices of graphs relatively. A large collection of graph associated numerical descriptors have been used to examine the whole structure of networks. In these analysis, degree related topological indices have a significant position in theoretical chemistry and nanotechnology. Thus, the computation of degree related indices is one of the successful topic of research. Given a molecular graph H , the general Randić connectivity index is interpreted as R α ( H ) = ∑ ℛ ∈ E ( H ) ( …deg H ( a ) deg H ( b ) ) α , with α is a real quantity. Also a graph transformation of H provides a comparatively simpler isomorphic structure with an ease to work on different chemical properties. In this article, we determine the sharp bounds of general Randić index of numerous graph transformations, such that semi-total-point, semi-total-line, total and eight individual transformations H fgh , where f , g , h  ∈ {+ , -} of graphs by using combinatorial inequalities. Show more

Keywords: General Randić index, transformation graph, semi-total-point graph, semi-total-line graph

DOI: 10.3233/JIFS-201139

Citation: Journal of Intelligent & Fuzzy Systems, vol. 39, no. 5, pp. 7787-7794, 2020

Authors: Reyad, Omar | Hamed, Kadry | Karar, Mohamed Esmail

Article Type: Research Article

Abstract: Bit-string generator (BSG) is based on the hardness of known number theoretical problems, such as the discrete logarithm problem with the elliptic curve (ECDLP). Such type of generators will have good randomness and unpredictability properties as it is challenged to find a solution regarding this mathematical dilemma. Hash functions in turn play a remarkable role in many cryptographic tasks to accomplish different security levels. Hash-enhanced elliptic curve bit-string generator (HEECBSG) mechanism is proposed in this study based on the ECDLP and secure hash function. The cryptographic hash function is used to achieve integrity and security of the obtained bit-strings for …highly sensitive plain data. The main contribution of the proposed HEECBSG is transforming the x -coordinate of the elliptic curve points using a hash function H to generate bit-strings of any desirable length. The obtained pseudo-random bits are tested by the NIST test suite to analyze and verify its statistical and randomness properties. The resulted bit-string is utilized here for encrypting various medical images of the vital organs, i.e. the brain, bone, fetuses, and lungs. Then, extensive evaluation metrics have been applied to analyze the successful performance of the cipherimage, including key-space analysis, histogram analysis, correlation analysis, entropy analysis and sensitivity analysis. The results demonstrated that our proposed HEECBSG mechanism is feasible for achieving security and privacy purposes of the medical image transmission over unsecure communication networks. Show more

Keywords: Elliptic curve cryptography, hash function, bit-string generator, medical image encryption, security analysis

DOI: 10.3233/JIFS-201146

Citation: Journal of Intelligent & Fuzzy Systems, vol. 39, no. 5, pp. 7795-7806, 2020

Authors: Habib, Shaista | us Salam, Wardat | Butt, M. Arif | Akram, M. | Smarandache, F.

Article Type: Research Article

Abstract: Cardiovascular diseases are the leading cause of death worldwide. Early diagnosis of heart disease can reduce this large number of deaths so that treatment can be carried out. Many decision-making systems have been developed, but they are too complex for medical professionals. To target these objectives, we develop an explainable neutrosophic clinical decision-making system for the timely diagnose of cardiovascular disease risk. We make our system transparent and easy to understand with the help of explainable artificial intelligence techniques so that medical professionals can easily adopt this system. Our system is taking thirty-five symptoms as input parameters, which are, gender, …age, genetic disposition, smoking, blood pressure, cholesterol, diabetes, body mass index, depression, unhealthy diet, metabolic disorder, physical inactivity, pre-eclampsia, rheumatoid arthritis, coffee consumption, pregnancy, rubella, drugs, tobacco, alcohol, heart defect, previous surgery/injury, thyroid, sleep apnea, atrial fibrillation, heart history, infection, homocysteine level, pericardial cysts, marfan syndrome, syphilis, inflammation, clots, cancer, and electrolyte imbalance and finds out the risk of coronary artery disease, cardiomyopathy, congenital heart disease, heart attack, heart arrhythmia, peripheral artery disease, aortic disease, pericardial disease, deep vein thrombosis, heart valve disease, and heart failure. There are five main modules of the system, which are neutrosophication, knowledge base, inference engine, de-neutrosophication, and explainability. To demonstrate the complete working of our system, we design an algorithm and calculates its time complexity. We also present a new de-neutrosophication formula, and give comparison of our the results with existing methods. Show more

Keywords: Single-valued neutrosophic number, explainable artificial intelligence, cardiovascular diseases, decision making, de-neutrosophication, algorithm

DOI: 10.3233/JIFS-201163

Citation: Journal of Intelligent & Fuzzy Systems, vol. 39, no. 5, pp. 7807-7829, 2020

Authors: Konwar, Nabanita

Article Type: Research Article

Abstract: The aim of this paper is to define the notion of intuitionistic fuzzy b metric space (in short, IFb MS) along with some useful results. We establish some important Lemmas in order to study the Cauchy sequence in IFb MS. To further develop the work, we establish some fixed point theorems and study the existence of unique fixed point of some self mappings in IFb MS. We also develop the concept of Ćirić quasi-Contraction theorem in IFb MS. Examples are provided to validate the non-triviality of the results.

Keywords: Intuitionistic fuzzy b-metric space, Cauchy sequence, fixed point theorem, unique fixed point, Ćirić quasi-contraction theorem

DOI: 10.3233/JIFS-201233

Citation: Journal of Intelligent & Fuzzy Systems, vol. 39, no. 5, pp. 7831-7841, 2020

Authors: Wen, Haili | Xia, Fei | Tang, Hongxiang

Article Type: Research Article

Abstract: An information system (IS) is a database that expresses relationships between objects and attributes. An IS with decision attributes is said to be a decision information system (DIS). An incomplete real-valued decision information system (IRVDIS) is a DIS based on incomplete real-valued data. This paper studies three-way decision (3WD) for incomplete real-valued data and its application. In the first place, the distance between two objects on the basis of the conditional attribute set in an IRVDIS is constructed. In the next place, the fuzzy T cos -equivalence relation on the object set of an IRVDIS is received by means …of Gaussian kernel. After that, the decision-theoretic rough set model for an IRVDIS is presented. Furthermore, the 3WD method is proposed based on this model. Lastly, to illustrate the feasibility of the proposed method, an application of the proposed method is given. It is worth mentioning that levels of risk may be determined by thresholds that can be directly acquired according to risk preference of different decision-makers, as well as the decision rule for each decision class under different levels of risk is showed in tabular forms. Show more

Keywords: 3WD, IRVDIS, Method, Decision-theoretic rough set, Gaussian kernel, Inclusion degree, Auto diagnostic

DOI: 10.3233/JIFS-201272

Citation: Journal of Intelligent & Fuzzy Systems, vol. 39, no. 5, pp. 7843-7862, 2020

Authors: Dong, Yuanxiang | Cheng, Xiaoting | Chen, Weijie | Shi, Hongbo | Gong, Ke

Article Type: Research Article

Abstract: In actual life, uncertain and inconsistent information exists widely. How to deal with the information so that it can be better applied is a problem that has to be solved. Neutrosophic soft sets can process uncertain and inconsistent information. Also, Dempster-Shafer evidence theory has the advantage of dealing with uncertain information, and it can synthesize uncertain information and deal with subjective judgments effectively. Therefore, this paper creatively combines the Dempster-Shafer evidence theory with the neutrosophic soft sets, and proposes a cosine similarity measure for multi-criteria group decision making. Different from the previous studies, the proposed similarity measure is utilized to …measure the similarity between two objects in the structure of neutrosophic soft set, rather than two neutrosophic soft sets. We also propose the objective degree and credibility degree which reflect the decision makers’ subjective preference based on the similarity measure. Then parameter weights are calculated by the objective degree. Additionally, based on credibility degree and parameter weights, we propose the modified score function, modified accuracy function, and modified certainty function, which can be employed to obtain partial order relation and make decisions. Later, we construct an aggregation algorithm for multi-criteria group decision making based on Dempster’s rule of combination and apply the algorithm to a case of medical diagnosis. Finally, by testing and comparing the algorithm, the results demonstrate that the proposed algorithm can solve the multi-criteria group decision making problems effectively. Show more

Keywords: Neutrosophic soft sets, Dempster-Shafer evidence theory, cosine similarity measure, multi-criteria group decision making

DOI: 10.3233/JIFS-201328

Citation: Journal of Intelligent & Fuzzy Systems, vol. 39, no. 5, pp. 7863-7880, 2020

Authors: Siddique, Saba | Ahmad, Uzma | us Salam, Wardat | Akram, Muhammad | Smarandache, Florentin

Article Type: Research Article

Abstract: The concept of generalized complex neutrosophic graph of type 1 is an extended approach of generalized neutrosophic graph of type 1. It is an effective model to handle inconsistent information of periodic nature. In this research article, we discuss certain notions, including isomorphism, competition graph, minimal graph and competition number corresponding to generalized complex neutrosophic graphs. Further, we describe these concepts by several examples and present some of their properties. Moreover, we analyze that a competition graph corresponding to a generalized complex neutrosophic graph can be represented by an adjacency matrix with suitable real life examples. Also, we enumerate the …utility of generalized complex neutrosophic competition graphs for computing the strength of competition between the objects. Finally, we highlight the significance of our proposed model by comparative analysis with the already existing models. Show more

Keywords: Isomorphism, competition graphs of type 1, minimal graphs, competition matrix, comparative analysis

DOI: 10.3233/JIFS-201338

Citation: Journal of Intelligent & Fuzzy Systems, vol. 39, no. 5, pp. 7881-7897, 2020