1,721,123 research outputs found

    Going Beyond Counting First Authors in Author Co-citation Analysis

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    The present study examines one of the fundamental aspects of author co-citation analysis (ACA) - the way co-citation counts are defined. Co-citation counting provides the data on which all subsequent statistical analyses and mappings are based, and we compare ACA results based on two different types of co-citation counting - the traditional type that only counts the first one among a cited work's authors on the one hand and a non-traditional type that takes into account the first 5 authors of a cited work on the other hand. Results indicate that the picture produced through this non-traditional author co-citation counting contains more coherent author groups and is therefore considerably clearer. However, this picture represents fewer specialties in the research field being studied than that produced through the traditional first-author co-citation counting when the same number of top-ranked authors is selected and analyzed. Reasons for these effects are discussed

    A New Partial Correlation Coefficient Technique Based on Intuitionistic Fuzzy Information and Its Pattern Recognition Application

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    Computation of correlation coefficient among attributes of ordinary database is important especially in the classification and analysis of data. Due to the hesitations in the process of data classification, the idea of intuitionistic fuzzy data (IFD) is appropriate for a reliable classification. To achieve a dependable correlation, the construct of partial correlation coefficient based on IFD has been considered. The construct of partial correlation coefficient of intuitionistic fuzzy sets (PCCIFSs) is reasonable since correlation coefficients of intuitionistic fuzzy sets (CCIFSs) are limited in the sense that it only expressed linear association and direction of such relation between IFD without minding the effect of other IFD. On the contrary, partial correlation coefficient finds the exact association between any two IFD by muting the effect of other IFD which could sway the result of the correlation coefficient. In previous works, the idea of PCCIFSs was introduced based on the multivariate correlation model using empirical logit transform. Besides the fact that the outputs of multivariate correlation model are not always easy to interpret, the approach also never considered the three parameters of IFSs and does not use the values of CCIFSs for the computational process. With these setbacks, we are motivated to propose a novel approach of finding PCCIFSs by incorporating the three parameters of IFD based on a modified CCIFSs approach. A comparative analysis of the robust PCCIFSs approach and the existing approach is considered to justify the novel approach. An application of the new approach of PCCIFSs is considered in the case of pattern recognition where the patterns are represented as intuitionistic fuzzy data.</p

    Reduced rings and modules arising from Morita contexts

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    In this paper, we study the reduced rings arising from Morita contextM(A, B) = (A, M, N, B, ϕ, ψ). Necessary and sufficient conditions areinvestigated for the Morita ring R to be reduced. In particular, thereduced modules over Morita context rings are characterized.</p

    Recent Trends in Fractional Calculus and Its Applications A volume in Advanced Studies in Complex Systems

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    A wide range of scientific fields, including natural science, social science, electrical, chemical, and mechanical engineering, economics, statistics, weather forecasting, and in particular biomedical engineering, can adequately describe a number of real-world scenarios using fractional calculus. Numerous fractional calculus problems can be resolved using various derivative types. In this chapter, we propose a modified Caputo-type fractional Weierstrass method for simultaneously finding all polynomial roots. The ordered convergence of the proposed family of methods is , as shown by convergence analysis. The numerical results of the test examples illustrate that the newly proposed method performs better than the other classical fractional iterative scheme previously used in the literature in terms of residual error, computing time, computational order of convergence, basins of attraction, efficiency, and absolute error.</p

    The Characterization of Fuzzy and Anti Fuzzy Ideals in AG-groupoid

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    Fuzzy and anti fuzzy ideals in ordered AG-groupoid are the modern tool for handling uncer-tainty in many decisions making problems. The purpose of this paper is to investigate, the character-izations of different classes of non-associative ordered semigroups by using anti fuzzy left (resp. right)interior, weakly regular, (2,2)-regular ideals. The algebraic properties of ideals in AG-groupoid are ex-amined for the newly introduced fuzzy algebra. The results presented are justified by providing examplesof well-defined and well-established AG-groupoid.</p

    Fuzzy bi-ideals in LA-rings

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    In this paper, we give the characterizations of different classes of LA-ringin terms of fuzzy left (resp. right, bi-, generalized bi-, (1, 2)-) ideals.Keywords: Fuzzy left (resp. right, bi-, generalized bi-, (1, 2)-) ideals.</p

    Ordered LA-groups and ideals in ordered LA-semigroups

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    Kehayopulu et. al [7], have established a relation between the ideals inordered semigroups and ordered groups. In this study, we extend these notions for aclass of non-associative and non-commutative algebraic structures.&nbsp;</p

    Triangular intuitionistic fuzzy linear system of equations with applications: an analytical approach

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    This study extended an existing semi-analytical technique, the Homotopy Perturbation Method, to the Block Homotopy Modified Perturbation Method by solving two&nbsp;n×n&nbsp;crisp triangular intuitionistic fuzzy (TIF) systems of linear equations. In the original system, the coefficient matrix is considered as real crisp, while the unknown variable vector and right hand side vector are regarded as triangular intuitionistic fuzzy numbers. The Block Homotopy Modified Perturbation Method is found to be efficient and practical to solve&nbsp;n×n&nbsp;TIF linear systems as it only requires the non-singularity of the&nbsp;n×n&nbsp;TIF linear system's coefficient matrix, whereas the point Homotopy Perturbation Method and other classical numerical iterative methods typically require non-zero diagonal entries in the coefficient matrix. A set of theorems relevant to this study are presented and demonstrated. We solve an engineering application, i.e. a current flow circuit problem that is represented in terms of a triangular intuitionistic fuzzy environment, using the suggested method. The unknown current is then obtained as a triangle intuitionistic fuzzy number. The proposed semi-analytic method is used to solve some numerical test problems in order to validate their performance and efficiency in comparison to other existing techniques. The numerical results of the example are displayed on graphs with different degrees of uncertainty. The efficiency and accuracy of the proposed method are further demonstrated by comparisons to block Jacobi, Adomain Decomposition method, Successive Over-Relaxation method and the classical Gauss-Seidel numerical method.</p
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