Manmeet Kaur Arora,
Sahil Lal,
Bhupendra singh,
- Research Scholar, Department of Law Sharda University, Uttar Pradesh, India
- Research Scholar, Department of Law ,Sharda University, Uttar pradesh, India
- professor, Deapartment of Law , Sharda University, Uttar pradesh, India
Abstract
The research paper examines the application of quantitative approaches to decision-making in legal systems, presenting the concept of “mathematical justice.” As legal systems grow increasingly complex, the adoption of statistical and data-driven methods can provide valuable insights, offering clarity and consistency to judicial processes. By leveraging these methods, courts and policymakers can make more informed, evidence-based decisions, enhancing both fairness and accountability within the justice system. The paper is divided into three chapters, each focusing on different areas where quantitative techniques can be applied. These include predictive analytics for identifying trends and risks, the formulation and refinement of sentencing guidelines, and the evaluation of public policies. By illustrating the potential of these approaches, the research highlights how quantitative methods can bring greater transparency and objectivity to legal and criminal justice systems. However, it also acknowledges the challenges and limitations that accompany this transition. Issues such as data quality, ethical considerations, and resistance from traditional legal practitioners are identified as significant barriers to widespread adoption. To address these concerns, the paper advocates for a mixed-methods approach that integrates quantitative analysis with qualitative insights. This combination allows for a deeper and more nuanced understanding of legal phenomena, capturing both numerical trends and the human elements of justice. By adopting such an approach, the study argues, the legal system can evolve toward greater equity and effectiveness, ensuring that decisions are informed by robust data while remaining sensitive to societal values and ethical standards. Ultimately, the research calls for a paradigm shift in how legal systems operate, urging stakeholders to embrace quantitative methodologies alongside traditional practices. Doing so, it contends, will foster evidence-based decision-making at every stage, creating a justice system that is not only more efficient but also more just and equitable for all.
Keywords: Mathematics, legal analysis, logical reasoning, cognitive science, artificial intelligence
[This article belongs to Research & Reviews : Journal of Statistics ]
Manmeet Kaur Arora, Sahil Lal, Bhupendra singh. Quantitative Approaches to Legal Decision-Making: The Mathematics of Justice. Research & Reviews : Journal of Statistics. 2025; 13(03):27-31.
Manmeet Kaur Arora, Sahil Lal, Bhupendra singh. Quantitative Approaches to Legal Decision-Making: The Mathematics of Justice. Research & Reviews : Journal of Statistics. 2025; 13(03):27-31. Available from: https://journals.stmjournals.com/rrjost/article=2025/view=195930
References
- Arora MK, Lal S, Mishra S, Singh B. Case Study of Cross-border Insolvency of Indian Real Estate Companies. Natl J Real Estate Law. 2024;7(1):9-12.
- Arora MK, Lal S, Singh B. A Way Forward to Realm of Environmental Law in India: Unveiling Judicial Activism and Enforcement Challenges. Natl J Environ Law. 2024;7(1):85-9.
- Raghav A, Arora MK, Lal S, Singh B. Significance Role of Renewable Resources for Energy in Environmental Protection. Natl J Environ Law. 2024;7(1).
- Singh B, Kaunert C. Leveraging IoT for Patient Monitoring and Smart Healthcare: Connected Healthcare System. In: S, Kadry S, editors. Revolutionizing Healthcare Systems Through Cloud Computing and IoT. IGI Global; 2025. p. 27-46.
- Singh B, Kaunert C, Lal S, Arora MK. Enhancing AI-Augmented Classrooms: Teacher-Centric Integration of Intelligent Tutoring Systems and Adaptive Learning Environments. In: Sanmugam M, Edwards B, Mohd Barkhaya N, Khlaif Z, editors. Fostering Inclusive Education With AI and Emerging Technologies. IGI Global; 2025. p. 99-130.
- Singh B, Lal S, Arora MK, Kaunert C. Mounting Legal-Driven Solutions for Plastic Pollution Focusing on Environment and Coastal Management: Eradicating Marine Pollution in Alignment With SDG 14 (Life Below Water). In: Gaur N, Sharma E, Nguyen T, Bilal M, Melkania N, editors. Societal and Environmental Ramifications of Plastic Pollution. IGI Global; 2025. p. 223-252.
- Singh B, Singh A, Kaunert C, Arora MK, Lal S, Ravesangar K. Unleashing the Ethical and Legal Implications of E-Business Revolution: Consumer Privacy and Security Concerns in Phase of Digital Disruption. In: Taherdoost H, Drazenovic G, Madanchian M, Khan I, Arshi O, editors. Business Transformation in the Era of Digital Disruption. IGI Global; 2025. p. 157-180.
- Singh B, Kaunert C. Innovative Business Models in Digital and Virtual Reality for the Gig Economy: Space-Age Sustainable Development Projecting Smart Business Practices. In: Taherdoost H, Drazenovic G, Madanchian M, Khan I, Arshi O, editors. Business Transformation in the Era of Digital Disruption. IGI Global; 2025. p. 127-156.
- Raghav A, Singh B, Jermsittiparsert K, Raghav R, Yadav U. Artificial Intelligence in Environmental and Climate Changes: A Sustainable Future. In: Singh B, Kaunert C, Vig K, Dutta S, editors. Maintaining a Sustainable World in the Nexus of Environmental Science and AI. IGI Global; 2024. p. 485-506.
- Kaushik TK, Ravish, Singh A, Raghav A, Singh B, Arora MK, Lal S. Untapping Artificial Intelligence in Environmental and Sustainable Progression: Projecting Legal and Ethical Considerations. In: Singh B, Kaunert C, Vig K, Dutta S, editors. Maintaining a Sustainable World in the Nexus of Environmental Science and AI. IGI Global; 2024. p. 109-130.
- Singh B, Kaunert C, Malviya R, Lal S, Arora MK. Scrutinizing Consumer Sentiment on Social Media and Data-Driven Decisions for Business Insights: Fusion of Artificial Intelligence (AI) and Business Intelligence (BI) Foster Sustainable Growth. In: Natarajan A, Galety M, Iwendi C, Das D, Shankar A, editors. Intersection of AI and Business Intelligence in Data-Driven Decision-Making. IGI Global; 2024. p. 183-210.
- Singh B, Kaunert C, Jermsittiparsert K, Lal S, Arora MK, Raghav A. Ultimate Deep Learning Acclimatization With Artificial Intelligence Drones for Environment Shield and Climate Change: Lifting Sustainability Towards Fostering SDG 13. In: Singh B, Kaunert C, Vig K, Dutta S, editorsMaintaining a Sustainable World in the Nexus of Environmental Science and AI. IGI Global; 2024. p. 59-80.
- Singh B, Raghav A, Jermsittiparsert K. Potential Benefits of Artificial Intelligence and Machine Learning to Overcome Health Consequences of Sexual Violence: The Case of Thailand and India. Asian Crime Soc Rev. 2024;11(2):102-8.
- Singh N, Lal S, Raghav A, Arora MK, Singh B, Kaunert C. Power of ML and DL in Precision Modeling and Climate Predictions: NextGen Ocean Insights. In: Riswandi B, Singh B, Kaunert C, Vig K, editors. AI Applications for Clean Energy and Sustainability. IGI Global; 2024. p. 254-273.
- Singh B, Kaunert C, Lal S, Arora MK, Singh G. Abundance Ocean Wave Energy to Electricity With Artificial Intelligence and IoT Solutions: Future of Clean Energy and Sustainability in Smart Cities. In: Riswandi B, Singh B, Kaunert C, Vig K, editors. AI Applications for Clean Energy and Sustainability. IGI Global; 2024. p. 274-298.
- Lal S, Arora MK, Riswandi BA, Singh N, Singh B. Melding Artificial Intelligence and Remote Sensing Data for Real-Time Monitoring of Marine Biodiversity. In: Riswandi B, Singh B, Kaunert C, Vig K, editors. AI Applications for Clean Energy and Sustainability. IGI Global; 2024. p. 299-319.
- Arora MK, Lal S, Singh B, Olyaee M. Through an Energy Lens: Examining SDGs From a Policy Perspective. In: Riswandi B, Singh B, Kaunert C, Vig K, editors. AI Applications for Clean Energy and Sustainability. IGI Global; 2024. p. 320-343.
- Kaushik TK, Ravish, Singh A, Raghav A, Singh B. Potential of Artificial Intelligence in the Agricultural Industry: A Comprehensive Review. In: Riswandi B, Singh B, Kaunert C, Vig K, editors. AI Applications for Clean Energy and Sustainability. IGI Global; 2024. p. 344-365.
- Singh B, Kaunert C. Hidden Gems Breakthrough Dynamic Landscape of Adaptive Learning Technologies for Higher Education: Bridging the Gap Between Theoretical and Practical Knowledge Projecting Student Learning Outcomes. In: Minh Tung T, editor. Adaptive Learning Technologies for Higher Education. IGI Global; 2024. p. 222-247.
- Singh B, Kaunert C. Reinventing Artificial Intelligence and Blockchain for Preserving Medical Data. In: Ethical Artificial Intelligence in Power Electronics. CRC Press; 2024. p. 77-91.
- Lal S, Singh B. Assaying the Copyright Law Jurisprudence in the Age of Artificial Intelligence: A Comparative Study. Libr Prog Int. 2024;44(3):15748-15759.
- Lal S. Role of Artificial Intelligence (AI) and Intellectual Property Rights (IPR) in Transforming Drug Discovery and Development in the Life Sciences: Legal and Ethical Concerns. Libr Prog Int. 2024;44(3):7070-82.
- Singh B, Arora MK, Lal S. Comparative Analysis of Nexus Between Judicial Review and Judicial Activism in India. J Const Law Jurisprud. 2024;7(2):6-12.
- Singh B, Arora MK, Lal S. Mapping Nature, Environment with SDG-9; Harnessing Machine Learning, Fostering Planet Earth Protection. Natl J Environ Law. 2024;7(1):90-3.

Research & Reviews : Journal of Statistics
| Volume | 13 |
| Issue | 03 |
| Received | 15/12/2024 |
| Accepted | 18/01/2025 |
| Published | 25/01/2025 |
PlumX Metrics
