Advances and Applications in Statistics

The Advances and Applications in Statistics is an internationally recognized journal indexed in the Emerging Sources Citation Index (ESCI). It provides a platform for original research papers and survey articles in all areas of statistics, both computational and experimental in nature.

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COMPARATIVE ANALYSIS OF TRIANGULAR FUZZY HIDDEN MARKOV MODELS AND TRADITIONAL HIDDEN MARKOV MODELS

Authors

  • M. Vyshnavi
  • M. Muthukumar

Keywords:

triangular fuzzy hidden Markov model, traditional hidden Markov model, fuzzy logic, predictive accuracy, Viterbi method, stationary parameters

DOI:

https://doi.org/10.17654/0972361725009

Abstract

This study optimizes Traditional Hidden Markov Models (THMMs) using Triangular Fuzzy Membership Functions, resulting in Triangular Fuzzy Hidden Markov Models (TFHMMs) that tolerate ambiguous observations and gradual state transitions in agricultural data prediction. Using oilseed area data from 1992 to 2022, we compare TFHMMs to traditional HMMs, focusing on predicting accuracy  using the Akaike Information Criterion (AIC), Bayesian Information Criterion (BIC), Corrected Akaike Information Criterion (AICc), and Hannan-Quinn Information Criterion (HQIC). Our research includes stationary parameters to improve model stability and uses the Viterbi technique to find optimal state sequences, which improves forecast interpretability. The results show that THMMs outperform TFHMMs at capturing the complicated patterns of agricultural data, with lower prediction errors and more reliability. This work emphasizes  the potential of fuzzy logic in not improving probabilistic models for agricultural forecasting, providing a more delicate and accurate approach to analyzing and predicting agricultural trends.

Received: August 14, 2024
Revised: September 6, 2024
Accepted: November 20, 2024

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Published

06-12-2024

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Section

Articles

How to Cite

COMPARATIVE ANALYSIS OF TRIANGULAR FUZZY HIDDEN MARKOV MODELS AND TRADITIONAL HIDDEN MARKOV MODELS. (2024). Advances and Applications in Statistics , 92(2), 171-189. https://doi.org/10.17654/0972361725009

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