Modeling temporal functions with granular regression and fuzzy rules

  • Authors:

  • Shounak Roychowdhury;Witold Pedrycz

  • Affiliations:

  • 790 Edgewater Blvd., Apt. #103, Foster City, CA;Department of Electrical & Computer Engineering, University of Alberta, Edmonton, AB, Canada T6G 2G6

  • Venue:
  • Fuzzy Sets and Systems - Information processing
  • Year:
  • 2002

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Abstract

Modeling of temporal functions has been studied extensively in last few decades. Temporal functions or time series are found practically in the gamut of applications, ranging from engineering analysis to financial and commercial transactions.Numerous time series models been proposed, and they can be found in the relevant time series literature. Deterministic and stochastic models have dominated much of the research in this area. Nonetheless, these models have their limitations, and particularly specific models solve specific problem domains. Therefore, there is no general mechanism that can address the issues of modeling of temporal functions.Granular information is now being used to address a few of the problems in the theory of time series. This paper proposes two models that use the concepts of regression and interleaved information granules-intervals and fuzzy sets to identify the structure existing in a given time series. In brevity, we are attempting to combine regression and fuzzy rules to model temporal systems.