Unveiling Patterns in Complexity: The Role of Simple Statistics and Fuzzy Mathematics in Data Analysis

Year : 2025 | Volume : 14 | Issue : 01 | Page : 1-10
    By

    R chetana,

  • N. Raja,

Abstract

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In this study, statistical methods must be integrated with fuzzy mathematics to solve complex data. Statistical methods offer clear, unbiased, and computationally feasible tools for analysing numerical data. whereas fuzzy mathematics excels in describing the vagueness and ambiguity of human feeling by way of linguistic variables, membership functions, and inference systems. Giving it an apparent advantage when modelling complex conditions. Hybrid frameworks offer fine-grained decision-making and resilient adaptability to real-world problems by integrating these two approaches. Through a case-study it was demonstrated which illustrates the application of this hybrid approach on the dataset with quantitative scores and qualitative risk levels. The mean, variance, and standard deviation are all statistical measures that are used in numerical analysis. Providing solutions is a study for the numeric features of the data After assigning, and using logical conditions, all can be balanced to reach the desired DE fuzzified score. First, we explain the joint trend, and second, we show this joint trend using visualizations, such as bar charts and scatter plots. In the future, further developments, such as the fusion of hybrid statistical-fuzzy frameworks with machine learning and artificial intelligence, will yield greater scalability, efficiency and interpretability. Mitigating computational challenges and extending hybrid models are primary for widespread adoption. Future works shall improve this approach in kinematic application and even in health care, finance, and smart systems.

Keywords: Statistical methods, fuzzy mathematics, data analysis, hybrid frameworks, risk assessment, decision-making, artificial intelligence, quantitative analysis, computational efficiency, qualitative data, defuzzification, membership functions, machine learning, standardization, interdisciplinary applications

[This article belongs to Research & Reviews : Journal of Statistics ]

How to cite this article:
R chetana, N. Raja. Unveiling Patterns in Complexity: The Role of Simple Statistics and Fuzzy Mathematics in Data Analysis. Research & Reviews : Journal of Statistics. 2025; 14(01):1-10.
How to cite this URL:
R chetana, N. Raja. Unveiling Patterns in Complexity: The Role of Simple Statistics and Fuzzy Mathematics in Data Analysis. Research & Reviews : Journal of Statistics. 2025; 14(01):1-10. Available from: https://journals.stmjournals.com/rrjost/article=2025/view=0



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Regular Issue Subscription Review Article
Volume 14
Issue 01
Received 14/01/2025
Accepted 23/01/2025
Published 15/04/2025
Publication Time 91 Days
56

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