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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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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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Dynamic modelling and forecasting the water price: a case of Medan, North Sumatera

2019-12 , Tan Kim Hek , Zulkifli Lubis , Mohammad Fadzli Ramli , Siti Rohana Goh Abdullah

Water is animportant element oflife, hence must be preserved. In addition, thepricing of water supply must be consistent and optimal to ensure its sustainability. Thispaperdescribes thedynamic model in the forms of mathematical (structural)equations translatedfrom the Regulation of the Minister of Domestic AffairsIndonesia,No.23 Year2006. This regulation has been used by Perusahaan Daerah Air Minum (PDAM) Tirtanadi Medan, North Sumatera in determiningthe water price. Themodel consists ofseveraleconomic variables such as minimum wage, inflation,and subsidy that majorly influencedthe forecasted water price