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Rasheed MW, Y. Saleh H, Salih AA, Karamat J, Bilal M. An overview of pink eye infection to evaluate its medications: group decision-making approach with 2-tuple linguistic T-spherical fuzzy WASPAS method. Front Artif Intell 2025; 7:1496689. [PMID: 39906498 PMCID: PMC11792285 DOI: 10.3389/frai.2024.1496689] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/15/2024] [Accepted: 12/30/2024] [Indexed: 02/06/2025] Open
Abstract
An infectious eye illness known as pink eye results in ocular redness, irritation, and mucus. Schools are an especially vulnerable region for dissemination because they can propagate that contagious disease quickly via direct or indirect interactions. Choosing the right medication to treat pink eye infection is typically thought of as an intricate multi-attribute group decision-making concern. The goal of this research is to construct a multi-attribute group decision-making framework that assesses six pink eye treatment medications, including Bleph-10, Moxeza, Zymar, Romycin, Polytrim, and Bacticin. The constructed multi-attribute group decision-making framework includes the following scenario: (1) In contrast to other types of fuzzy sets, the 2-tuple linguistic T-spherical fuzzy set (2TLT-SFS) looks to be a potent tool for dealing with informational inconsistencies in decision-making scenarios; (2) in order to render the 2TLT-SF accumulation details processing more flexible, the addition, multiplication, scalar multiplication, and exponential laws that are predicated on the Schweizer-Sklar collection of t-conorms and t-norms are described; (3) the Schweizer-Sklar weighted average and Schweizer-Sklar weighted geometric operators are then put forward employing the aforementioned operations to combine the data; (4) subsequently, using newly developed operators (referred to as 2TLT-SF Schweizer-Sklar weighted average and 2TLT-SF Schweizer-Sklar weighted geometric), this work enhances the conventional weighted aggregated sum product assessment (WASPAS) approach. The computation procedure for this methodology is thoroughly given to rank the alternatives; (5) to confirm the viability of the suggested approach, thorough computational and simulation assessments are conducted. An examination of the developed and existing research is compared to demonstrate the benefits of the suggested analysis.
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Affiliation(s)
- M. Waheed Rasheed
- Department of Mathematics, COMSATS University Islamabad, Vehari, Pakistan
| | - Hind Y. Saleh
- Department of Mathematics, College of Basic Education, University of Duhok, Duhok, Iraq
| | - Areen A. Salih
- Department of Mathematics, College of Computer Science and Mathematics, University of Mosul, Mosul, Iraq
| | - Jahangeer Karamat
- Department of Mathematics, Division of Science and Technology, University of Education, Lahore, Pakistan
| | - Muhammad Bilal
- Department of Mathematics, Division of Science and Technology, University of Education, Lahore, Pakistan
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Li L, Lin H, Qiang Y, Zhang Y, Hu S, Li H, Liang S, Xu X. A combination weighting method for debris flow risk assessment based on t-distribution and linear programming optimization algorithm. PLoS One 2024; 19:e0303698. [PMID: 38875305 PMCID: PMC11178183 DOI: 10.1371/journal.pone.0303698] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/17/2024] [Accepted: 04/29/2024] [Indexed: 06/16/2024] Open
Abstract
Debris flow risk assessment can provide some reference for debris flow prevention and control projects. In risk assessment, researchers often only focus on the impact of objective or subjective indicators. For this purpose, this paper proposed a weight calculation method based on t-distribution and linear programming optimization algorithm (LPOA). Taking 72 mudslides in Beichuan County as an example, this paper used analytic hierarchy process (AHP), entropy weight method (EWM) and variation coefficient method (VCM) to obtain the initial weights. Based on the initial weights, weight intervals with different confidence levels were obtained by t-distribution. Subsequently, the final weights were obtained by LOPA in the 90% confidence interval. Finally, the final weights were used to calculate the risk score for each debris flow, thus delineating the level of risk for each debris flow. The results showed that this paper's method can avoid overemphasizing the importance of a particular indicator compared to EWM and VCM. In contrast, EWM and VCM ignored the effect of debris flow frequency on debris flow risk. The assessment results showed that the 72 debris flows in Beichuan County were mainly dominated by moderate and light risks. Of these, there were 8 high risk debris flows, 24 medium risk debris flows, and 40 light risk debris flows. The excellent triggering conditions provide favorable conditions for the formation of high-risk debris flows. Slightly and moderate risk debris flows are mainly located on both sides of highways and rivers, still posing a minor threat to Beichuan County. The proposed fusion weighting method effectively avoids the limitations of single weight calculating method. Through comparison and data analysis, the rationality of the proposed method is verified, which can provide some reference for combination weighting method and debris flow risk assessment.
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Affiliation(s)
- Li Li
- Civil Engineering College, Chongqing Three Gorges University, Wanzhou, Chongqing, China
| | - Hanjie Lin
- Civil Engineering College, Chongqing Three Gorges University, Wanzhou, Chongqing, China
| | - Yue Qiang
- Civil Engineering College, Chongqing Three Gorges University, Wanzhou, Chongqing, China
| | - Yi Zhang
- Civil Engineering College, Chongqing Three Gorges University, Wanzhou, Chongqing, China
| | - Shengchao Hu
- Civil Engineering College, Chongqing Three Gorges University, Wanzhou, Chongqing, China
| | - Hongjian Li
- Civil Engineering College, Chongqing Three Gorges University, Wanzhou, Chongqing, China
| | - Siyu Liang
- Civil Engineering College, Chongqing Three Gorges University, Wanzhou, Chongqing, China
| | - Xinlong Xu
- Civil Engineering College, Chongqing Three Gorges University, Wanzhou, Chongqing, China
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Azeem M, Ilyas A, Ali J, Ghamkhar M, Syam MI. Group decision-making algorithm with sine trigonometric r,s,t-spherical fuzzy aggregation operators and their application. Sci Rep 2024; 14:10816. [PMID: 38734743 PMCID: PMC11088690 DOI: 10.1038/s41598-024-61382-y] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/14/2024] [Accepted: 05/06/2024] [Indexed: 05/13/2024] Open
Abstract
r, 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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Affiliation(s)
- Muhammad Azeem
- Department of Mathematics and Statistics, University of Agriculture, Faisalabad, 38000, Pakistan
| | - Ayesha Ilyas
- Department of Mathematics and Statistics, University of Agriculture, Faisalabad, 38000, Pakistan
| | - Jawad Ali
- Institute of Numerical Sciences, Kohat University of Science and Technology, Kohat, KPK, Pakistan
| | - Madiha Ghamkhar
- Department of Mathematics and Statistics, University of Agriculture, Faisalabad, 38000, Pakistan
| | - Muhammad I Syam
- Department of Mathematical Sciences, United Arab Emirates University, P. O. Box 15551, Al-Ain, UAE.
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Ma L, Javed K, Ali Z, Tehreem T, Yin S. 3D seismic analysis of mine planning using Aczel-Alsina aggregation operators based on T-spherical fuzzy information. Sci Rep 2024; 14:4001. [PMID: 38369600 PMCID: PMC11310451 DOI: 10.1038/s41598-024-54422-0] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/30/2023] [Accepted: 02/13/2024] [Indexed: 02/20/2024] Open
Abstract
3D seismic attributes analysis can help geologists and mine developers associate subsurface geological features, structures, faults, and ore bodies more precisely and accurately. The major influence of this application is to evaluate the usage of the 3D seismic attributes analysis in gold mine planning. For this, we evaluate the novel theory of complex T-spherical hesitant fuzzy (CTSHF) sets and their operational laws. Furthermore, we derive the CTSHF Aczel-Alsina weighted power averaging (CTSHFAAWPA) operator, CTSHF Aczel-Alsina ordered weighted power averaging (CTSHFAAOWPA) operator, CTSHF Aczel-Alsina weighted power geometric (CTSHFAAWPG) operator, and CTSHF Aczel-Alsina ordered.com weighted power geometric (CTSHFAAOWPG) operator. Some properties are also investigated for the above operators. Additionally, we evaluate the problems of 3D seismic attributes analysis to mine planning under the consideration of the proposed operators, for this, we illustrate the problem of the multi-attribute decision-making (MADM) technique for the above operators. Finally, we demonstrate some examples for making the comparison between prevailing and proposed information to improve the worth of the derived operators.
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Affiliation(s)
- Lijun Ma
- College of Land and Resources, Hebei Agricultural University, Baoding, 071000, China
| | - Kinza Javed
- Department of Mathematics and Statistics, Riphah International University, Islamabad, 44000, Pakistan
| | - Zeeshan Ali
- Department of Mathematics and Statistics, Riphah International University, Islamabad, 44000, Pakistan
| | - Tehreem Tehreem
- Department of Mathematics, Faculty of Basic and Applied Sciences, Air University PAF Complex, E-9, Islamabad, 44000, Pakistan
| | - Shi Yin
- College of Economics and Management, Hebei Agriculture University, Baoding, 071001, China.
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Group decision-making based on 2-tuple linguistic T-spherical fuzzy COPRAS method. Soft comput 2022. [DOI: 10.1007/s00500-022-07644-1] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/13/2022]
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Akram M, Khan A, Ahmad U, Alcantud JCR, Al-Shamiri MMA. A new group decision-making framework based on 2-tuple linguistic complex q-rung picture fuzzy sets. MATHEMATICAL BIOSCIENCES AND ENGINEERING : MBE 2022; 19:11281-11323. [PMID: 36124591 DOI: 10.3934/mbe.2022526] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/15/2023]
Abstract
The need for multi-attribute decision-making brings more and more complexity, and this type of decision-making extends to an ever wider range of areas of life. A recent model that captures many components of decision-making frameworks is the complex $ q $-rung picture fuzzy set (C$ q $-RPFS), a generalization of complex fuzzy sets and $ q $-rung picture fuzzy sets. From a different standpoint, linguistic terms are very useful to evaluate qualitative information without specialized knowledge. Inspired by the ease of use of the linguistic evaluations by means of 2-tuple linguistic term sets, and the broad scope of applications of C$ q $-RPFSs, in this paper we introduce the novel structure called 2-tuple linguistic complex $ q $-rung picture fuzzy sets (2TLC$ q $-RPFSs). We argue that this model prevails to represent the two-dimensional information over the boundary of C$ q $-RPFSs, thanks to the additional features of 2-tuple linguistic terms. Subsequently, some 2TLC$ q $-RPF aggregation operators are proposed. Fundamental cases include the 2TLC$ q $-RPF weighted averaging/geometric operators. Other sophisticated aggregation operators that we propose are based on the Hamacher operator. In addition, we investigate some essential properties of the new operators. These tools are the building blocks of a multi-attribute decision making strategy for problems posed in the 2TLC$ q $-RPFS setting. Furthermore, a numerical instance that selects an optimal machine is given to guarantee the applicability and effectiveness of the proposed approach. Finally, we conduct a comparison with other existing approaches.
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Affiliation(s)
- Muhammad Akram
- Department of Mathematics, University of the Punjab, New Campus, Lahore, Pakistan
| | - Ayesha Khan
- Department of Mathematics, University of the Punjab, New Campus, Lahore, Pakistan
| | - Uzma Ahmad
- Department of Mathematics, University of the Punjab, New Campus, Lahore, Pakistan
| | - José Carlos R Alcantud
- BORDA Research Unit and Multidisciplinary Institute of Enterprise (IME), Universidad de Salamanca, 37007 Salamanca, Spain
| | - Mohammed M Ali Al-Shamiri
- Department of Mathematics, Faculty of Science and Arts, Muhayl Asser, King Khalid University, K.S.A
- Department of Mathematics and Computer, Faculty of Science, Ibb University, Ibb, Yemen
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