Cosine similarity measures between q-rung orthopair linguistic sets and their application to group decision making problems

Ali, Jawad; Naeem, Muhammad

doi:10.1038/s41598-022-18694-8

Cited by 8 publications

(2 citation statements)

References 44 publications

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“…As the parameter q increases in q-ROFS, the range describing the assessment information defined by TMV and FMV expands. Till now, several researchers have actively explored the application of q-ROFS in multi-attribute group DM (MAGDM) problems 5 – 8 , which highlights the potential of q-ROFS to handle the inherent vagueness associated with DM.…”

Section: Introductionmentioning

confidence: 99%

Group decision-making algorithm with sine trigonometric r,s,t-spherical fuzzy aggregation operators and their application

Azeem,

Ilyas,

Ali

et al. 2024

Sci Rep

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Abstractr, s, t-spherical fuzzy (r, s, t-SPF) sets provide a robust framework for managing uncertainties in decision-making, surpassing other fuzzy sets in their ability to accommodate diverse uncertainties through the incorporation of flexible parameters r, s, and t. Considering these characteristics, this article explores sine trigonometric laws to enhance the applicability and theoretical foundation for r, s, t-SPF setting. Following these laws, several aggregation operators (AOs) are designed for aggregation of the r, s, t-SPF data. Meanwhile, the desired characteristics and relationships of these operators are studied under sine trigonometric functions. Furthermore, we build a group decision-making algorithm for addressing multiple attribute group decision-making (MAGDM) problems using the developed AOs. To exemplify the applicability of the proposed algorithm, we address a practical example regarding laptop selection. Finally, parameter analysis and a comprehensive comparison with existing operators are conducted to uncover the superiority and validity of the presented AOs.

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Section: Introductionmentioning

confidence: 99%

Group decision-making algorithm with sine trigonometric r,s,t-spherical fuzzy aggregation operators and their application

Azeem,

Ilyas,

Ali

et al. 2024

Sci Rep

Self Cite

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show abstract

“…In q-ROFS, the sum of the qth power of the membership grade and the non-membership grade is less than or equal to one. Since it's introduction, numerous scholars have investigated the characteristics of q-ROFSs [14], [15], [16].…”

Section: Introductionmentioning

confidence: 99%

r, s, t-Spherical Fuzzy VIKOR Method and Its Application in Multiple Criteria Group Decision Making

Ali

Naeem

2023

IEEE Access

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This study intends to significantly enhance the capacity of decision experts (DEs) to capture their judgment in a larger area. In order to accomplish this, we propound the r, s, t-spherical fuzzy set (r, s, t-SFS), an expansion of the t-spherical fuzzy set. In r, s, t-SFS the sum of the rth power of membership grade, sth power of neutral grade and the tth power of non-membership grade is less than or equal to 1, where r, s and t are natural numbers. Due to the inclusion of the extra parameters r and s, the r, s, t-SFS is able to describe assessment information in a more flexible and comprehensive manner. This work begins by defining r, s, t-SFS and demonstrating that it is an extension of various existing fuzzy sets. The fundamental operations, score, and accuracy functions of r, s, t-SFS are then introduced, and their mathematical features are examined. Also, we study some distance measures between r, s, t-SFSs and their required properties. Next, to aggregate r, s, t-spherical fuzzy data, r, s, t-spherical fuzzy weighted averaging (r, s, t-SFWA) and r, s, t-spherical fuzzy weighted geometric (r, s, t-SFWG) operators are bring forward along with some of their essential properties. Based on the proposed distance measure, maximizing deviation method is combined with r, s, t-spherical fuzzy information to establish the criteria weight determination method. Following this, we present r, s, t-spherical fuzzy VlseKriterijumska Optimizacija I Kompromisno Resenje (VIKOR) method using the grounds of classical VIKOR method depending upon two focal properties, namely, group utility and individual regret of opponent. To demonstrate the use of the framed approach and exhibit its validity, we present a case study of arc welding robot selection. Besides, the effectiveness and accuracy of the proposed VIKOR are proved by parameter analysis and comparison analysis findings.

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A novel generalized similarity measure under intuitionistic fuzzy environment and its applications to criminal investigation

Dutta,

Banik

2024

Artif Intell Rev

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In our contemporary world, where crime prevails, the expeditious conduct of criminal investigations stands as an essential pillar of law and order. However, these inquiries often grapple with intricate complexities, particularly uncertainties stemming from the scarcity of reliable evidence, which can significantly hinder progress. To surmount these challenges, the invaluable tools of crime linkage and psychological profiling of offenders have come to the forefront. The advent of Intuitionistic Fuzzy Sets (IFS) has proven pivotal in navigating these uncertain terrains of decision-making, and at the heart of this lies the concept of similarity measure-an indispensable tool for unraveling intricate problems of choice. While a multitude of similarity measures exists for gauging the likeness between IFSs, our study introduces a novel generalized similarity measure firmly rooted in the IFS framework, poised to surpass existing methods with enhanced accuracy and applicability. We then extend the horizon of practicality by employing this pioneering similarity measure in the domain of clustering for crime prediction-a paramount application within the realm of law enforcement. Furthermore, we venture into the domain of psychological profiling, a potent avenue that has the potential to significantly fortify the arsenal of crime investigations. Through the application of our proposed similarity measure, we usher in a new era of efficacy and insight in the pursuit of justice. In sum, this study not only unveils a groundbreaking similarity measure within the context of an Intuitionistic fuzzy environment but also showcases its compelling applications in the arena of criminal investigation, marking a significant stride toward swifter and more informed decisions in the realm of law and order.

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Cosine similarity measures between q-rung orthopair linguistic sets and their application to group decision making problems

Cited by 8 publications

References 44 publications

Group decision-making algorithm with sine trigonometric r,s,t-spherical fuzzy aggregation operators and their application

Group decision-making algorithm with sine trigonometric r,s,t-spherical fuzzy aggregation operators and their application

r, s, t-Spherical Fuzzy VIKOR Method and Its Application in Multiple Criteria Group Decision Making

A novel generalized similarity measure under intuitionistic fuzzy environment and its applications to criminal investigation

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