Applied and Computational Mathematics

Archive

Volume 12, Issue 4, August 2023

  • A Fiedler’s Approach to LINEX Intuitionistic Fuzzy C-means Clustering Induced Spectral Initialization for Data Analysis

    M. Nithya, K. Bhuvaneswari, S. Senthil

    Issue: Volume 12, Issue 4, August 2023
    Pages: 82-91
    Received: 19 May 2023
    Accepted: 12 June 2023
    Published: 21 July 2023
    DOI: 10.11648/j.acm.20231204.11
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    Abstract: Clustering is a common technique for statistical data analysis. The clustering method based on intuitionistic fuzzy set has attracted more and more scholar’s attention nowadays. This paper discusses the intuitionistic fuzzy C-means clustering algorithm. There are a number of clustering techniques developed in the past using different distance/simil... Show More
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  • A q-Operational Equation for Carlitz’s q-Operators with Some Applications

    Jian Cao, Cheng Zhang, Sama Arjika

    Issue: Volume 12, Issue 4, August 2023
    Pages: 92-108
    Received: 11 June 2023
    Accepted: 8 July 2023
    Published: 21 July 2023
    DOI: 10.11648/j.acm.20231204.12
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    Abstract: Rogers–Szegö polynomials are the basis in the Scheme of basic hypergeometric orthogonal polynomials. By solving a q-operational equation with formal power series, Liu introduced a new q-exponential operational identity and developed a systematic method to prove the identities involving the Rogers–Szegö polynomials. In this paper, motivate... Show More
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