Application of Parameterized Hesitant Fuzzy Soft Set Theory in Decision Making

Rodzi, Zahari Md; Ahmad, Abd Ghafur

doi:10.13189/ms.2020.080302

Cited by 7 publications

(3 citation statements)

References 25 publications

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“…Some form of fuzzy divergence metric was proposed by Tomar, Ohlan, Priya, and Tomar [17,18]. In their article "Decision-making with Parameterized Hesitant Fuzzy Soft Set Theory," Zahari Md Rodzi and Abd Ghafur Ahmad [19] established this concept. We suggest divergence metric while keeping in mind the aforementioned literature, and certain significant properties are also investigated.…”

Section: Original Research Articlementioning

confidence: 99%

On Heterodox Non-KL Generalized Divergence Metric with Characteristics in Fuzzy Environment

Verma,

Chandrakar

2023

ARJOM

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In this paper, we suggest a novel divergence metric on a fuzzy set. Some scholars have used the fuzzy set extension and one that integrated with other theories. Axioms are proven in order to demonstrate the viability of measure. We create a way about decision-making criteria using the suggested measure and provide a workable method. We discuss the divergence metric metric for fuzzy sets in this post. The discussed properties of the proposed proposal. Multicriteria decision making is a very useful technique with a wide range of applications in the real world.

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Section: Original Research Articlementioning

confidence: 99%

On Heterodox Non-KL Generalized Divergence Metric with Characteristics in Fuzzy Environment

Verma,

Chandrakar

2023

ARJOM

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“…Furthermore, The GBM has the potential to be utilized in numerous other applications within the field of MCDM (Eltarabishi et al, 2020;Ismail et al, 2023a;Jin, 2023;Priyanka et al, 2023;Rodzi bin Md et al, 2023;Rodzi et al, 2021a;Wu et al, 2023). Additionally, its relevance extends to various extensions of fuzzy and neutrosophic sets (Ismail et al, 2023b;Rodzi and Ahmad, 2020;Rodzi et al, 2021b).…”

Section: Introductionmentioning

confidence: 99%

Revolutionizing Multi-Criteria Decision Making with the Triangular Fuzzy Geometry Bonferroni Mean Operator (TFGBM)

Hasnan

2024

Sci. Technol. Indones

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This study investigates the Multi-Criteria Decision Making (MCDM) topic to address the complexities of decision processes involving ambiguous information. We introduce the Triangular Fuzzy Geometric Bonferroni Mean (TFGBM) operator, a novel aggregation technique inspired by the Geometric Bonferroni Mean (GBM) concept. This operator is intended to aggregate triangular fuzzy numbers within MCDM problems effectively. We thoroughly investigate the properties of TFGBM and its distinct forms to ensure its practical utility. We introduce the Triangular Fuzzy Geometric Weighted Bonferroni Mean (TFGWBM) operator to accommodate situations where input factors have variable degrees of significance. Based on this foundation, we present a comprehensive framework for decision-making involving multiple attributes in ambiguous triangular fuzzy environments. A relevant case study regarding selecting an optimal location for a Halal center demonstrates the efficacy and applicability of our methodology. We emphasize the tangibility and efficiency of the suggested methodology in improving decision-making processes by emphasizing this real-world application.

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“…Tomar and Ohlan and Priya and Tomar [11,14] proposed some measure of fuzzy directed divergence. Zahari Md Rodzi, Abd Ghafur Ahmad [15] defined the application of parameterized Hesitant Fuzzy Soft Set theory in decision making. Keeping in mind above literature we propose directed divergence and some important properties are also studied.…”

Section: Introductionmentioning

confidence: 99%

On New Generalized Fuzzy Directed Divergence Measure and Its Application in Decision Making Problem

Dass¹,

Tomar²,

Kumar³

et al. 2021

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The concept of fuzzy sets presented by Zadeh has conquered an enormous achievement in numerous fields. Uncertainty in real world is ubiquitous. Entropy is an important tool with uncertainty and fuzziness. In this article, we propose new measure of directed divergence on fuzzy set. The extension of the fuzzy sets and one that integrated with other theories have been applied by some researchers. To prove the validity of measure, some axioms are proved. Using the proposed measure, we generate a method about decision making criteria and give a suitable method. In this article, we describe directed divergence measure for fuzzy set. Properties of proposed measure are discussed. In the real world, the multicriteria decision making is a very practical method and has a wide range of uses. By using multicriteria decision making, we can find best choice among the given criteria. In recent years, many researchers extensively apply fuzzy directed divergence for multicriteria decision making. Also some researchers defined the application of parameterized Hesitant Fuzzy Soft Set theory in decision making. In this article, we shall investigate the multiple criteria decision making problem under fuzzy environment. Application of introduced measure is given for decision making problem. A numerical example is given for decision making problem. In a fuzzy multicriteria problem, the analysis is given by an illustration example of the new define approach regarding admission preference of a student for post graduate course of science stream.

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Application of Parameterized Hesitant Fuzzy Soft Set Theory in Decision Making

Cited by 7 publications

References 25 publications

On Heterodox Non-KL Generalized Divergence Metric with Characteristics in Fuzzy Environment

On Heterodox Non-KL Generalized Divergence Metric with Characteristics in Fuzzy Environment

Revolutionizing Multi-Criteria Decision Making with the Triangular Fuzzy Geometry Bonferroni Mean Operator (TFGBM)

On New Generalized Fuzzy Directed Divergence Measure and Its Application in Decision Making Problem

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