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Soft computing
Springer-Verlag Berlin Heidelberg
Soft computing

Springer-Verlag Berlin Heidelberg

1432-7643

Soft computing/Journal Soft computingEISCIISTPAHCI
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    A representation of L-domain by formal concept analysis

    Wang ShengwenLi Qingguo
    10页
    查看更多>>摘要：Abstract In this paper, we represent L-domains by means of formal concept analysis. Based on the attributive continuous formal contexts, we propose the notions of LDF-contexts and F\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathcal {F}}$$\end{document}-morphisms and show that they provide concrete representations of L-domains and Scott-continuous functions between them, respectively. Moreover, the category of LDF-contexts with F\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathcal {F}$$\end{document}-morphisms is proven to be equivalent to that of L-domains with Scott-continuous functions as morphisms.
      原文链接:
    • NSTL
    • Springer Nature

    A two-layer networks-based audio encryption/decryption scheme via fixed-time cluster synchronization

    Zhou LiliLi XiaohuiTan FeiHuang Yi...
    14页
    查看更多>>摘要：Abstract In this paper, an audio encryption/decryption scheme based on the cluster synchronization of two-layer complex networks within fixed-time is proposed. The two-layer network model composed of multiple encryption/decryption units, in which the nodes in each unit behave identical dynamics, while the nodes in different ones may behave different dynamics, is adopted. These encryption/decryption units can be processed in parallel, such that the speed for information encryption/decryption can be greatly improved. The drive network is used for encryption, and the response network is used for decryption. The encryption/decryption process mainly includes two steps: time-domain scrambling and encryption function operation. The chaotic sequences generated by multiple different chaotic systems are used as the keys, and the symmetric encryption method based on the synchronization of complex networks is used, which can make the key space be larger and the security be higher. Moreover, the fixed-time strategy is introduced such that the encryption/decryption time is controllable and predictable, this is a very important indicator in practical applications. The feasibility and effectiveness of the given audio encryption scheme are verified by the theoretical analysis and numerical simulation results.
      原文链接:
    • NSTL
    • Springer Nature

    Fuzzy rough set with inconsistent bipolarity information in two universes and its applications

    Han YingChen ShengShen Xiaoning
    10页
    查看更多>>摘要：Abstract In the paper (Han et al. in IEEE Trans Fuzzy Syst 23:2358–2370, 2015), we proposed the bipolar-valued rough fuzzy set in one universe, which is an inevitable improvement by introducing inconsistentbipolarity to rough set. However, the bipolar-valued rough fuzzy set in one universe still has the limitations to complex practical problems. This motives us to propose the generalized concept of bipolar-valued fuzzy rough set in two universes, in which, inconsistentbipolarity is introduced into the crisp approximation space for the first time, and furthermore, two universes are considered to reflect the interrelations among different sources’ inconsistentbipolarity information. Comparing with other existing fuzzy rough set models, in syntax, the new one generalizes the existing ones. And most importantly, in semantics, the new one firstly considering the inconsistentbipolarity information, which is important in practice. Based on the new concept, two methods to the decision-making problems with inconsistent fuzzy bipolarity information are proposed, together with their applications. The comparison study with other existing rough set related methods highlights the necessity of our study, which provides a new inconsistent fuzzy bipolarity perspective to rough set theory and related applications.
      原文链接:
    • NSTL
    • Springer Nature

    Approximation operators via TD-matroids on two sets

    Wang GangMao Hua
    20页
    查看更多>>摘要：Abstract Rough set theory is an extension of set theory with two additional unary set-theoretic operators known as approximation in order to extract information and knowledge. It needs the basic, or say definable, knowledge to approximate the undefinable knowledge in a knowledge space using the pair of approximation operators. Many existed approximation operators are expressed with unary form. How to mine the knowledge which is asked by binary form with rough set has received less research attention, though there are strong needs to reveal the answer for this challenging problem. There exist many information with matroid constraints since matroid provides a platform for combinatorial algorithms especially greedy algorithm. Hence, it is necessary to consider a matroidal structure on two sets no matter the two sets are the same or not. In this paper, we investigate the construction of approximation operators expressed by binary form with matroid theory, and the constructions of matroidal structure aided by a pair of approximation operators expressed by binary form.First, we provide a kind of matroidal structure—TD-matroid defined on two sets as a generalization of Whitney classical matroid.Second, we introduce this new matroidal construction to rough set and construct a pair of approximation operators expressed with binary form.Third, using the existed pair of approximation operators expressed with binary form, we build up two concrete TD-matroids.Fourth, for TD-matroid and the approximation operators expressed by binary form on two sets, we seek out their properties with aspect of posets, respectively.Through the paper, we use some biological examples to explain and test the correct of obtained results. In summary, this paper provides a new approach to research rough set theory and matroid theory on two sets, and to study on their applications each other.
      原文链接:
    • NSTL
    • Springer Nature

    A high accuracy variable mesh numerical approximation for two point nonlinear BVPs with mixed boundary conditions

    Setia NikitaMohanty R. K.
    17页
    查看更多>>摘要：Abstract This article proposes a numerical method of third-order accuracy for a second-order nonlinear two-point boundary value problem with mixed boundary conditions. The scheme is developed using a non-uniform grid induced with the help of a parameter η. The value of η is dependent on the number of intervals N0. The scheme involves only three grid points and is applicable to many problems of physical interest. An error analysis of the designed discretization is carried out to establish the claimed order of accuracy, which in turn is verified through the numerical outcomes. It is evident from the computational illustrations that our techniques are superior to the already existing ones, for these produce better results.
      原文链接:
    • NSTL
    • Springer Nature

    Epistemic ?ukasiewicz logic of partial knowledge

    Nola Antonio DiGrigolia RevazVitale Gaetano
    8页
    查看更多>>摘要：Abstract We offer a new logic, called Epistemic ?ukasiewicz logic of partial knowledge that is represented as multimodal epistemic ?ukasiewicz logic K?P(n)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$K\text{\L} _\text {P}(n)$$\end{document} with n knowledge operators □i\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\Box _i$$\end{document}(1≤i≤n)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$(1 \le i \le n)$$\end{document} interpreted in a non-archimedean monadic MV-algebra. We choose knowledge operators, which can be estimated by some grading (different kinds of knowledge): absolute knowledge or partial knowledge. We consider a very special type of partial knowledge. Actually, we take infinitesimal elements (the radical) of perfect MV-algebras as a range of this estimation. The choice of infinitesimal elements seems suitable for actual situations like a measure of partial information.
      原文链接:
    • NSTL
    • Springer Nature

    An integrated decision-making methodology based on Pythagorean fuzzy sets for social robot evaluation

    Kaya ?hsanKara?an Ali?zkan Betül?olak Murat...
    28页
    查看更多>>摘要：Abstract The modern era robots are designed to realize many different tasks, and there are many types of them for different purposes. As robotic technology develops, new features are added to the robots, increasing their importance in human life. Being social is one of the preferred features of the new generation of robots. The socialness of the robots indicates the relationship between the robots and the humans. Thus, the robot evaluation process has great importance, including many different perspectives. Since the process contains a set of criteria and robot alternatives, it can be considered a multi-criteria decision-making (MCDM) problem. The evaluation process includes uncertainty and vagueness because of the humans’ subjective evaluations. Pythagorean fuzzy sets (PFSs) can be effectively utilized as an extension of intuitionistic fuzzy sets (IFSs) to cope with uncertainty and vagueness in the decision-making processes. This study proposes an integrated fuzzy MCDM methodology based on interval-valued Pythagorean fuzzy sets (IVPFSs) for the social robot evaluation problem (REP). By assigning IVPFSs, it is aimed to represent uncertainty and hesitancy in an effective and flexible way by using both membership and non-membership functions. For this aim, a novel integrated methodology consisting of IVPF-based forms of DEMATEL, ANP, and TOPSIS methods is suggested. While DEMATEL and ANP methods based on IVPFSs have been, respectively, utilized to consider internal and external dependencies of criteria and calculate importance degrees of criteria, the social robot alternatives have been ranked via the IVPF-TOPSIS technique. These methods have been adopted with respect to decision makers’ evaluations based on both linguistic variables and cardinal information. Since the high amount of data is in linguistic form, we also present a new way of fuzzifying the cardinal information for applicability. During a case study, five social robot alternatives have been evaluated in terms of five main and twenty-one sub-criteria. In order to present the effectiveness and the applicability of the proposed methodology, sensitivity and comparative analyses have also been conducted. A sensitivity analysis has been also applied to observe the shifts of the alternative ranks based on the changes of the criteria weights. Moreover, for verification of the obtained results IVPF-ARAS (Additive Ratio Assessment) method has been applied in the scope of comparative analysis.
      原文链接:
    • NSTL
    • Springer Nature

    Bipolar fuzzy concepts reduction using granular-based weighted entropy

    Singh Prem Kumar
    13页
    查看更多>>摘要：Abstract The bipolar fuzzy concept lattice has given a way to analyze the uncertainty in soft data set beyond the unipolar space. In this process, a problem is addressed while dealing with large number of bipolar fuzzy concepts and its importance for adequate decision-making process. It may create randomness in the decision due to bipolarity and its existence in customer feedback, or expert opinion. To overcome from this issue, the current paper tried to measure the randomness in bipolar fuzzy concepts using the properties of Shannon entropy. The importance of bipolar fuzzy concept is decided based on defined window of granulation (α1,α2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\alpha _1, \alpha _2$$\end{document}) for its computed weight with an illustrative example. The obtained results are also compared with recently available approaches on data with bipolar fuzzy attributes for validation.
      原文链接:
    • NSTL
    • Springer Nature

    Application of multi-attribute decision-making methods for the selection of conveyor

    Fulzele S. B.Khatke S. B.Kadam S. J.Kamble A. G....
    9页
    查看更多>>摘要：Abstract In the present time of innovation, conveyor is an exceptionally indispensable part and has huge significance for material handling in various process and manufacturing industries. It is made with precisions, and the expenses are relatively high and should work with better productivity. The selection of the best conveyor is a crucial task, and the designers need to recognize different attributes that will influence the functionalities of the conveyor system to limit bottlenecks in the system. Researchers have worked on strategies for finding the best optimum solution for various selection problems, but conveyor selection using selected methods is not reported. Therefore, the present work aims to the selection process of the best option for conveyor by using four selected decision-making methods such as analytical hierarchy process, technique of order preference by similarity to ideal solution, compromise ranking method and Deng’s similarity-based method. The selection is done among four alternatives based on six attributes, viz. fixed cost each hour, variable cost each hour, conveyor speed, product width, product weight and flexibility. The analytical hierarchy process is used to determine weights of the attributes based on relative importance of each attribute. It is observed that A3 conveyor is best suitable conveyor. Hence, the proposed strategies help manufacturers to examine and choose the best conveyor.
      原文链接:
    • NSTL
    • Springer Nature

    Fuzzy with adaptive membership function and deep learning model for frequency control in PV-based microgrid system

    Sharma Deepesh
    14页
    查看更多>>摘要：Abstract The intricacy to integrate Distributed Generators is the major aspect in power systems, which balanced the power and regulated the voltage and frequency. If varied electrical motors are associated with PV, the rotor speed frequency and the pulse of the PV panel are assorted. Thus, this paper intends to propose Fuzzy with adaptive membership function and Deep learning Controller to control the frequency of rotor speed and the pulse of PV panel simultaneously for developing the power system performance. The main purpose defined in developed approach is to regulate the output waveform, thus minimizing the error amid the control and reference signal. In the proposed Fuzzy controller, the membership function is optimized by “Sorted Position based GWO (SP-GWO)”. The performances of adopted scheme are computed over varied controllers regarding switching time.
      原文链接:
    • NSTL
    • Springer Nature