Interval-Valued Picture Uncertain Linguistic Generalized Hamacher Aggregation Operators and Their Application in Multiple Attribute Decision-Making Process

Garg, Harish; Ali, Zeeshan; Mahmood, Tahir

doi:10.1007/s13369-020-05313-9

Cited by 29 publications

(7 citation statements)

References 28 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Step 1: Compute the decision matrix; see Table 1. Further, normalize the matrix if the matrix covers cost type of information, such as which were proposed by Garg et al (2021) and Yager (2008), have not been working effectively because these are the special cases of the initiated techniques. Hence, thewhihc initiated techniques are novel and superior than existing information.…”

Section: Analysis Of Digital Green Innovation Based On Proposed Suppl...mentioning

confidence: 99%

“…Additionally, Jabeen et al (2023) exposed the Aczel-Alsina operators for IVPFSs. Further, Garg et al (2021) initiated the interval-valued picture of uncertain linguistic generalized Hamacher operators and their application in decision support systems. Further, the prioritized operators based on classical set theory were proposed by Yager (2008).…”

Section: Comparative Analysismentioning

confidence: 99%

See 1 more Smart Citation

Analysis of Digital Green Innovation Based on Schweizer–Sklar Prioritized Aggregation Operators for Interval-Valued Picture Fuzzy Supply Chain Management

Ali,

Rehman

2024

JCCE

View full text Add to dashboard Cite

Digital green innovation economics and management for Industry 5.0 was not widely recognized, and the commonly referenced industry paradigm was Industry 4.0. Furthermore, digital green innovation is part of the above information referring to the integration of digital technologies with environmentally sustainable practices to develop innovative solutions that evaluate ecological challenges. In this manuscript, we evaluate the Schweizer–Sklar operational laws based on interval-valued picture fuzzy (IVPF) values. Further, we investigate prioritized aggregation operators based on Schweizer–Sklar operational laws for IVPF information, called IVPF Schweizer–Sklar prioritized averaging operator, IVPF Schweizer–Sklar prioritized geometric operator, IVPF Schweizer–Sklar prioritized weighted averaging operator, and IVPF Schweizer–Sklar prioritized weighted geometric operator. Some properties for the above-initiated operators are also derived. Additionally, we analyze the digital green innovation with the help of multi-attribute decision-making technique for initiated operators to show the reliability and supremacy of the proposed theory. Finally, we demonstrate examples for addressing the comparison among the initiated theory and existing ideas to improve the worth of the derived theory.

show abstract

Section: Analysis Of Digital Green Innovation Based On Proposed Suppl...mentioning

confidence: 99%

Section: Comparative Analysismentioning

confidence: 99%

Analysis of Digital Green Innovation Based on Schweizer–Sklar Prioritized Aggregation Operators for Interval-Valued Picture Fuzzy Supply Chain Management

Ali,

Rehman

2024

JCCE

View full text Add to dashboard Cite

show abstract

“…PFS not only includes the degree of nonmembership but also allows the DM more flexibility and granularity in the analysis of imprecise information by incorporating the degree of neutrality and refusal [29]. Over the years, there have been a substantial number of further extensions of PFS with generalized PF soft set [30], weighted geometric aggregation operators with t-norm and t-conorm [31], interval-valued picture uncertain linguistic set with generalized Hamacher aggregation operators [32], simple to understand and flexible distance-like measures, such as weak interval-valued pseudo-metrics [33] and Dempster-Shafer theory [34], which improved the actual score measures [35], and trapezoidal PFN with Dijkstra algorithm [36] to mention a few. In this context, it is noteworthy to compare PFS with another recently developed and popular variant of classical FS, namely the spherical fuzzy set (SFS) [37].…”

Section: Introductionmentioning

confidence: 99%

A New Decision Support Framework with Picture Fuzzy Information: Comparison of Video Conferencing Platforms for Higher Education in India

Biswas

Pamučar

Chowdhury

et al. 2021

Discrete Dynamics in Nature and Society

View full text Add to dashboard Cite

The purpose of this paper is to present a novel extension of a very recently developed multicriteria decision making (MCDM) algorithm known as the preference ranking on the basis of ideal-average distance (PROBID) method in a picture fuzzy (PF) environment. We use the full consistency method (FUCOM) with picture fuzzy numbers (PFNs) for deriving the criteria weights. We attempt to apply our proposed model for addressing a real-life complex decision making problem in social science research that gets influenced by the dynamics of discrete human behaviors. We compare eight popular video conferencing (VC) tools used for teaching-learning and meeting purposes in India using our novel integrated multicriteria decision making (MCDM) framework of FUCOM-PROBID with PF information. The criteria have been derived using the theoretical foundation of usability and user experience (UX). Based on the opinion of the decision makers (DM) or users who took part in the study, we find that ease of operations, compatibility with multiple systems and devices, quality of the voice, and video transmission and features are given more emphasis while Zoom, Microsoft Teams, and Google Meet are found to be preferable options to the users. The result of the proposed model shows stability and robustness as evident from the validation test and sensitivity analysis.

show abstract

“…Sitara et al [19] proposed novel decision-making analysis based on q-rung picture fuzzy graph structures. Garg [20,21] developed MAGDM process based on operators for intuitionistic multiplicative set and interval-valued picture uncertain linguistic generalized Hamacher aggregation operators. Liu et al [22] proposed group decision-making using complex q-ROF Bonferroni mean.…”

Section: Introductionmentioning

confidence: 99%

Correlation Measures for Cubic m-Polar Fuzzy Sets with Applications

Garg

Riaz

Khokhar

et al. 2021

Mathematical Problems in Engineering

Self Cite

View full text Add to dashboard Cite

A cubic m -polar fuzzy set (CmPFS) is a new hybrid extension of m -polar fuzzy set and cubic set. A CmPFS is a robust model to express multipolar information in terms of m fuzzy intervals representing membership grades and m fuzzy numbers representing nonmembership grades. In this article, we explore some new operational laws of CmPFSs, produce some related results, and discuss their consequences. We propose relative informational coefficients and relative noninformational coefficients for CmPFSs. These coefficients are analyzed to investigate further properties of CmPFSs. Based on these coefficients, we introduce new correlation measures and their weighted versions for CmPFSs. The value of proposed correlation measures is symmetrical and lies between −1 and 1. Moreover, the applications of the proposed correlation in pattern recognition and medical diagnosis are developed. The feasibility and efficiency of suggested correlation measures is determined by respective illustrative examples.

show abstract

Interval-Valued Picture Uncertain Linguistic Generalized Hamacher Aggregation Operators and Their Application in Multiple Attribute Decision-Making Process

Cited by 29 publications

References 28 publications

Analysis of Digital Green Innovation Based on Schweizer–Sklar Prioritized Aggregation Operators for Interval-Valued Picture Fuzzy Supply Chain Management

Analysis of Digital Green Innovation Based on Schweizer–Sklar Prioritized Aggregation Operators for Interval-Valued Picture Fuzzy Supply Chain Management

A New Decision Support Framework with Picture Fuzzy Information: Comparison of Video Conferencing Platforms for Higher Education in India

Correlation Measures for Cubic m-Polar Fuzzy Sets with Applications

Contact Info

Product

Resources

About