Muhammad Zaini Ahmad
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Preferred name
Muhammad Zaini Ahmad
Official Name
Muhammad Zaini, Ahmad
Alternative Name
Ahmad, Muhammad Zaini
Zaini Ahmad, M.
Ahmad, M. Z.
Main Affiliation
Scopus Author ID
36622099600
Researcher ID
IWH-4700-2023

Research Output
Now showing 1 - 9 of 9
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Publication

Applications of the fuzzy sumudu transform for the solution of first order fuzzy differential equations

2015 , Norazrizal Rahman , Muhammad Zaini Ahmad

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.

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Publication

Multi-Attribute Decision-Making Based on Picture Fuzzy Einstein Operator and The TOPSIS Method

2023-11-10 , Siti Rohana Goh Abdullah , Muhammad Zaini Ahmad

Picture Fuzzy Sets (PFSs) denote the extension of conventional fuzzy sets, which capture a broader spectrum of human opinions, encompassing responses such as acceptance, neutrality, rejection, and hesitation. This wider range of responses cannot be accurately accommodated within fuzzy sets as well as intuitionistic fuzzy sets framework. In the realm of Multiple Attribute Group Decision-Making (MAGDM) methods, attributes frequently exhibit conflicts, uncertainties, imprecisions, as well as a lack of commensurability. To tackle the complexities inherent in MAGDM, the Technique for Order of Preference by Similarity to the Ideal Solution (TOPSIS) method has demonstrated its effectiveness. This method is employed in a compromise ranking approach founded on aggregation functions that showcase closeness to the reference points. This study's goal is to instigate a fresh approach to aggregation, referred to as the Picture Fuzzy Einstein Weighted Averaging Distance-based TOPSIS (PFEWAD-TOPSIS) method. To validate the effectiveness of this method in addressing MAGDM problems, a detailed example is conducted.

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Publication

Improved hamming distance method for measuring staff performance evaluation

2018-12 , Mohamad Shahiir Saidin , Muhammad Zaini Ahmad , Rasyida Md Saad

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.

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Fuzzy method based on the removal effects of criteria (MEREC) for determining objective weights in multi-criteria decision-making problems

2023 , Mohamad Shahiir Saidin , Lai Soon Lee , Siti Mahani Marjugi , Muhammad Zaini Ahmad , Hsin-Vonn Seow

In multi-criteria decision-making (MCDM) research, the criteria weights are crucial components that significantly impact the results. Many researchers have proposed numerous methods to establish the weights of the criterion. This paper provides a modified technique, the fuzzy method based on the removal effects of criteria (MEREC) by modifying the normalization technique and enhancing the logarithm function used to assess the entire performance of alternatives in the weighting process. Since MCDM problems intrinsically are ambiguous or complex, fuzzy theory is used to interpret the linguistic phrases into triangular fuzzy numbers. The comparative analyses were conducted through the case study of staff performance appraisal at a Malaysian academic institution and the simulation-based study is used to validate the effectiveness and stability of the presented method. The results of the fuzzy MEREC are compared with those from a few different objective weighting techniques based on the correlation coefficients, outlier tests and central processing unit (CPU) time. The results of the comparative analyses demonstrate that fuzzy MEREC weights are verified as the correlation coefficient values are consistent throughout the study. Furthermore, the simulation-based study demonstrates that even in the presence of outliers in the collection of alternatives, fuzzy MEREC is able to offer consistent weights for the criterion. The fuzzy MEREC also requires less CPU time compared to the existing MEREC techniques. Hence, the modified method is a suitable alternative and efficient for computing the objective criteria weights in the MCDM problems.

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Closed form boundary feedback for the time fractional order partial integro differential equations

2017-12 , Ibtisam Kamil Hanan , Muhammad Zaini Ahmad , 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

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Publication

A Review on Picture Fuzzy Aggregation Operators

2024-12-01 , Siti Rohana Goh Abdullah , Muhammad Zaini Ahmad

Multiple Attribute Decision Making (MADM) is a fundamental concept in the scope of the decision sciences, serving as a structured method for evaluating and selecting the most appropriate alternative option from a pool of available alternatives. MADM methods have gained prominence over the years and are frequently applied in realworld scenarios. Nevertheless, decision-making in practical situations often involves information that is imprecise and uncertain, especially conflicting criteria or attributes. Therefore, Picture Fuzzy Sets (PFSs) and Aggregation Operators (AOs) have proven invaluable in effectively addressing decision challenges characterized by impression and uncertainty. During the past few years, various Picture Fuzzy Aggregation Operators (PFAOs) have been suggested and established but have not been thoroughly reviewed. The primary highlight of this research is to analyse as well as review the development and proposals surrounding PFAOs and their diverse applications within the decision-making paradigm. Regarding this, a review of 140 published articles from 2017 to 2022 appeared in 48 high-ranking journals cited from the "Scopus" and "Web of Science" databases. Other than that, all these articles have been classified by the nationalities of authors, publication year, published journal, research area, operators and methods. The findings of this study discovered that PFAOs have been increasingly applied for supporting decisions due to their frequent implications and applications in different managerial domains, either profit or non-profit organizations. This literature survey's significant contribution provides a platform for researchers to identify future dimensions of works as improvements for decision-making in picture fuzzy environments while also promoting future application of the approaches.

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Penilaian terhadap kecekapan relatif menggunakan model NCN Dual dalam Industri Pengagihan Elektrik di Selangor

2006 , Muhammad Zaini Ahmad , 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.

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Solving fuzzy volterra integral equations via Fuzzy Sumudu Transform

2017-12 , Norazrizal Aswad Abdul Rahman , Muhammad Zaini Ahmad

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

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Publication

Analytical and numerical solutions of fuzzy differential equations

2013-02-26 , Muhammad Zaini Ahmad , 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.

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