Measuring Given Partial Information about Intuitionistic Fuzzy Sets

Arora, Priya; Tomar, Vijay Prakash

doi:10.13189/ms.2020.080606

Cited by 5 publications

(3 citation statements)

References 16 publications

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“…A measure of the divergence metric of two sets was provided by Bhatia and Singh [16]. 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.…”

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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“…Therefore, more similarity measures can be derived from distance measures and vice versa. Furthermore, the numerous authors (Arora & Tomar, 2020;Dass et al, 2019;Tomar, 2019;Tomar & Ohlan, 2014) have developed the entropy and discrimination measures related to FSs and IFSs. Initially, IFSs distance measures were conceptualised by Szmidt & Kacprzyk (2000).…”

Section: Introductionmentioning

confidence: 99%

Intuitionistic Fuzzy Modulus Similarity Measure

Gora

Tomar

2022

International Journal of Decision Support System Technology

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The concept of intuitionistic fuzzy sets (IFSs) is an expected explanation for finding the appropriate information. It originated from concept of fuzzy set (FS) theory, which extends the classical conception of a fuzzy set. This paper examines a number of widely employed similarity measures then proposes an IFSs modulus similarity measure and a weight similarity measure. Initially, the authors have discussed numerous existing similarity measures, some of which are unable to justify the axioms of being a similarity measure. Furthermore, some numerical examples are presented to compare the existing similarity measures with the proposed similarity measure. The proposed similarity measure is a practical and effective method for determining the qualitative similarity between IFSs, which do not have any paradoxical nature. In addition, the proposed similarity measure has been demonstrated practically in pattern recognition and medical diagnosis problem. Suggestions for future research comprise the conclusions of the paper.

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“…Bhatia and Singh [10] gave some measure of directed divergence of two set . 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.…”

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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Measuring Given Partial Information about Intuitionistic Fuzzy Sets

Cited by 5 publications

References 16 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

Intuitionistic Fuzzy Modulus Similarity Measure

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

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