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A Fuzzy Regression Technique Through Same-Points in Fuzzy Geometry

  • Debdas Ghosh
  • Ravi Raushan
  • Gaurav Somani
Conference paper
Part of the Communications in Computer and Information Science book series (CCIS, volume 834)

Abstract

In this short article, a method to obtain a fuzzy regression curve for a set of imprecise locations is proposed. The given imprecise locations are presented by fuzzy points. The studied fuzzy regression curve is obtained with the help of a smooth regression technique for a set of precise locations. We observe the given imprecise points as a bunch of same points with varied membership values. For a set of same points, we obtain a smooth regression curve. The union of all these smooth regression curves, with different membership values, for the same points yields the proposed fuzzy regression curve. The method is demonstrated with a numerical example.

Keywords

Fuzzy points Same points Fuzzy curves Smooth regression Fuzzy regression 

Notes

Acknowledgement

The first author gratefully acknowledges the financial support through Early Career Research Award (ECR/2015/000467), Science & Engineering Research Board, Government of India.

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Copyright information

© Springer Nature Singapore Pte Ltd. 2018

Authors and Affiliations

  1. 1.Department of Mathematical SciencesIndian Institute of Technology (BHU) VaranasiVaranasiIndia

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