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@article{195706,
        author = {Dr.V.Sreevinotha},
        title = {Theoretical Foundations of the Composite Fuzzy Demographic Index},
        journal = {International Journal of Innovative Research in Technology},
        year = {2026},
        volume = {12},
        number = {11},
        pages = {1812-1815},
        issn = {2349-6002},
        url = {https://ijirt.org/article?manuscript=195706},
        abstract = {This paper investigates the theoretical foundations of the Composite Fuzzy Demographic Index (CFDI), a synthetic measure designed to evaluate demographic dynamics across geographical units over time. The index integrates fuzzy normalization, temporal weighting, and logarithmic transformations to provide a robust and interpretable framework for demographic comparison. We formally establish three key theoretical properties of the CFDI. First, we prove boundedness and attainability, showing that the index remains within a fixed and interpretable range under min–max normalization. Second, we demonstrate scale invariance, ensuring that proportional rescaling of population values does not affect comparative results. Third, we establish temporal sensitivity, proving that recent demographic changes exert greater influence when higher temporal weights are applied. Together, these properties confirm that the CFDI is mathematically consistent, stable under transformation, and responsive to time-varying demographic changes. The results support the suitability of the CFDI as a reliable tool for comparative demographic analysis across states and districts.},
        keywords = {Composite Fuzzy Demographic Index; Fuzzy normalization; Demographic measurement; Scale invariance; Temporal weighting; Boundedness; Population dynamics; Composite indicators.},
        month = {April},
        }