Abstract:Multiattribute decision-making (MADM) approach is an effective method for handling ambiguous information in a practical situation. The process of the MADM technique has drawn a lot of interest from various academic and selection processes of extensive analysis. The aggregation operators (AOs) are the best mathematical tools and received a lot of attention from researchers. This article explored the theory of intuitionistic fuzzy IF sets (IFSs) and their certain fundamental operations. The theory of triangular … Show more
Enhancing decision-making under risks is crucial in various fields, and three-way decision (3WD) methods have been extensively utilized and proven to be effective in numerous scenarios. However, traditional methods may not be sufficient when addressing intricate decision-making scenarios characterized by uncertain and ambiguous information. In response to this challenge, the generalized intuitionistic fuzzy set (IFS) theory extends the conventional fuzzy set theory by introducing two pivotal concepts, i.e., membership degrees and non-membership degrees. These concepts offer a more comprehensive means of portraying the relationship between elements and fuzzy concepts, thereby boosting the ability to model complex problems. The generalized IFS theory brings about heightened flexibility and precision in problem-solving, allowing for a more thorough and accurate description of intricate phenomena. Consequently, the generalized IFS theory emerges as a more refined tool for articulating fuzzy phenomena. The paper offers a thorough review of the research advancements made in 3WD methods within the context of generalized intuitionistic fuzzy (IF) environments. First, the paper summarizes fundamental aspects of 3WD methods and the IFS theory. Second, the paper discusses the latest development trends, including the application of these methods in new fields and the development of new hybrid methods. Furthermore, the paper analyzes the strengths and weaknesses of research methods employed in recent years. While these methods have yielded impressive outcomes in decision-making, there are still some limitations and challenges that need to be addressed. Finally, the paper proposes key challenges and future research directions. Overall, the paper offers a comprehensive and insightful review of the latest research progress on 3WD methods in generalized IF environments, which can provide guidance for scholars and engineers in the intelligent decision-making field with situations characterized by various uncertainties.
Enhancing decision-making under risks is crucial in various fields, and three-way decision (3WD) methods have been extensively utilized and proven to be effective in numerous scenarios. However, traditional methods may not be sufficient when addressing intricate decision-making scenarios characterized by uncertain and ambiguous information. In response to this challenge, the generalized intuitionistic fuzzy set (IFS) theory extends the conventional fuzzy set theory by introducing two pivotal concepts, i.e., membership degrees and non-membership degrees. These concepts offer a more comprehensive means of portraying the relationship between elements and fuzzy concepts, thereby boosting the ability to model complex problems. The generalized IFS theory brings about heightened flexibility and precision in problem-solving, allowing for a more thorough and accurate description of intricate phenomena. Consequently, the generalized IFS theory emerges as a more refined tool for articulating fuzzy phenomena. The paper offers a thorough review of the research advancements made in 3WD methods within the context of generalized intuitionistic fuzzy (IF) environments. First, the paper summarizes fundamental aspects of 3WD methods and the IFS theory. Second, the paper discusses the latest development trends, including the application of these methods in new fields and the development of new hybrid methods. Furthermore, the paper analyzes the strengths and weaknesses of research methods employed in recent years. While these methods have yielded impressive outcomes in decision-making, there are still some limitations and challenges that need to be addressed. Finally, the paper proposes key challenges and future research directions. Overall, the paper offers a comprehensive and insightful review of the latest research progress on 3WD methods in generalized IF environments, which can provide guidance for scholars and engineers in the intelligent decision-making field with situations characterized by various uncertainties.
“…On the other hand, this study can be compared with other fuzzy ORESTE methods using sensitivity analysis. For example, [129] discussed different aggregating operators to assess the optimal solutions under the multi-attribute decision-making technique, specifically in handling uncertain and ambiguous information under the IF system. The authors studied triangular norms and their generalization in the form of robust aggregation tools using the Aczel Alsina operations.…”
Due mainly to COVID-19 and the demanding work schedules of many individuals, online purchasing sites have become indispensable. However, the dynamic online environment and everchanging customer demands make sustainable competitiveness challenging for e-commerce platforms. Humans primarily influence the preference for online purchase platforms. This study aimed to discover Türkiye’s top popular online shopping sites by adopting an extended intuitionistic fuzzy ORESTE (Organisation, Rangement Et Synthèse De Données Relationnelles) approach. Our study targeted this by surveying female users of four online shopping platforms using IF-ORESTE. The criteria were determined according to customer preferences. These were as follows: easy accessibility to the platform, providing regular discounts and campaigns, advanced filtering settings, the contractual merchants’ reliability, quick delivery, being more affordable than competing platforms, positive feedback in user comments, having a large brand volume, having an installment option, and having partnered cargo companies. The least important factor was the large volume of brands on the online websites. Quick delivery of orders and positive feedback in reviews were equally important. Similarly, the decision-makers considered regular discounts and promotions and the comprehensive filtering settings as equally critical. However, these criteria were less significant than quick delivery and positive customer feedback. This work’s novelty lies in implementing the IF to the ORESTE in the Turkish e-commerce industry. The implications and future directions are discussed.
“…Büyüközkan and Göçer [3] proposed a MADM technique to choose a smart medical device to diagnose disease in human bodies. Hussain et al [4] appeared with an application through their proposed innovative IFAAWHM and IFAAWGHM operators and employed a robust MADM approach to address real-world challenges of solar panel systems. In most real-life cases, we make decisions in circumstances that involve ambiguous, uncertain, and complex information.…”
Multi-Attribute Decision Making (MADM) is a powerful tool for navigating complex decision problems by systematically considering multiple criteria and alternatives. This method is widely used in various fields such as business, engineering, finance, and public policy, where decisions involve considering multiple conflicting objectives. An interval-valued intuitionistic fuzzy set is a more flexible mathematical model used to aggregate vague type and redundant information into a single set. By exploring the robustness of Aczel Alsina aggregation operators, we deduce an effective mathematical approach for handling ambiguous information of human opinion. To express the relationship among input arguments or attribute information, we study a feasible theory of Hamy mean (HM) operators. This article presents some dominant mathematical approaches in the light of interval-valued intuitionistic fuzzy (IVIF) information with Aczel Alsina operations including IVIF Aczel Alsina HM (IVIFAAHM), IVIF Aczel Alsina weighted HM (IVIFAAWHM), IVIF Aczel Alsina Dual HM (IVIFAADHM) and IVIF Aczel Alsina weighted Dual HM (IVIFAAWDHM) operators. To prove the validity and effectiveness of derived approaches, some prominent characteristics are also illustrated. A decision algorithm of the MADM technique is also established to resolve complicated real-life applications and amplifications. With the help of numerical examples, we show the compatibility of diagnosed mathematical approaches. Finally, the influence study and comparison technique also verify the consistency of pioneered approaches by contrasting the aggregated outcomes of previous operators that exist in the literature.INDEX TERMS Interval-valued intuitionistic fuzzy values, Hamy mean operators, Aczel Alsina operations, and decision support system.
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