Now showing 1 - 6 of 6
  • Publication
    Solving fuzzy volterra integral equations via Fuzzy Sumudu Transform
    ( 2017-12)
    Norazrizal Aswad Abdul Rahman
    ;
    Fuzzy integral equations (FIEs) topic is an important branch in fuzzy mathematics. However, the methods proposed for handling FIEs are still very limited and often involve complex calculations. This paper introduced fuzzy Sumudu transform(FST) for solving FIEs, specifically fuzzy Volterra integrale quations(FVIEs). For this purpose, a step‐by‐step procedure will be constructed for solving FVIEs. In order to illustrate the practicability of the method, two numerical examples will be given
      23  10
  • Publication
    Closed form boundary feedback for the time fractional order partial integro differential equations
    ( 2017-12)
    Ibtisam Kamil Hanan
    ;
    ;
    Fadhel Subhi Fadhel
    This paper focuses on the application of back stepping control scheme for the time fractional order partial integro differential equation (FPIDE). The fractional derivative is presented by using Caputo fractional derivative. We show how the FPIDE is converted into a Mittag‐Leffler stability by designing invertible coordinate transformation. Numerical simulation isused to demonstrate the effectiveness of the proposed control scheme
      14  19
  • Publication
    Improved hamming distance method for measuring staff performance evaluation
    ( 2018-12)
    Mohamad Shahiir Saidin
    ;
    ;
    Performance evaluation is the annual assessment about the overall works and responsibilities for every staff in an organization or institution. It needs to be measured correctly and fairly in order to pay what the staffs havedone in a particular year. In this process, the staffs in the particular organization areevaluated with respect to specific criteria by the assigned decision makers based on their performance in a particular year. Based on the existing literature, the decision makers always overlook the sub-criteria weights in the evaluation process and only focus for main criteria. Hence, this study presents an approach of integrating the subjective and objective weights incorporated with Hamming distance method dealing with main and sub-criteria. A case study at an institute of local university in Malaysia is provided to demonstrate the advantages of the proposed method. Based on the results, the proposed method can determine the most important criteria and the best staff in that institute.
      2  10
  • Publication
    Penilaian terhadap kecekapan relatif menggunakan model NCN Dual dalam Industri Pengagihan Elektrik di Selangor
    ( 2006) ;
    Wan Rosmanira Ismail
    Kajian ini memfokuskan kepada pemerhatian bagi pembolehubah-pembolehubah yang tidak boleh dikawal dalam Analisis Penyampulan Data (APD) untuk memodelkan kecekapan relatif industri pengagihan elektrik. Sepuluh kawasan pengagihan elektrik di Selangor dipilih dan digunakan untuk mengukur kecekapan relatif bagi kes di atas. Bedasarkan data bagi tahun 2002, model NCN dual digunakan dan mendapati lima daripada sepuluh kawasan pengagihan elektrik di Selangor adalah cekap. Satu set sasaran ditentukan bagi lima kawasan pengagihan yang tidak cekap. Berdsarkan keputusan ini, syarikat utiliti elektrik di Selangor dapat mewujudkan satu perancangan strategik bagi meningkatkan prestasinya, terutama dalam pengurusan kos.
      1  16
  • Publication
    Applications of the fuzzy sumudu transform for the solution of first order fuzzy differential equations
    ( 2015)
    Norazrizal Rahman
    ;
    In this paper, we study the classical Sumudu transform in fuzzy environment, referred to as the fuzzy Sumudu transform (FST). We also propose some results on the properties of the FST, such as linearity, preserving, fuzzy derivative, shifting and convolution theorem. In order to show the capability of the FST, we provide a detailed procedure to solve fuzzy differential equations (FDEs). A numerical example is provided to illustrate the usage of the FST.
  • Publication
    Analytical and numerical solutions of fuzzy differential equations
    ( 2013-02-26) ;
    M.K. Hasan
    ;
    B. De Baets
    In this paper, we study analytical and numerical solutions of fuzzy differential equations based on the extension principle. For linear fuzzy differential equations, we state some results on the behaviour of the solutions and study their relationship with the generalised Hukuhara derivative. In order to approximate the solutions of linear and non-linear fuzzy differential equations, we propose a new fuzzification of the classical Euler method and then incorporate an unconstrained optimisation technique. This combination offers a powerful tool to tackle uncertainty in any numerical method. An efficient computational algorithm is also provided to guarantee the convexity of fuzzy solutions on the time domain. Several illustrative examples are given.