Vague Correlation Coefficient of Interval Vague Sets

  • Authors:

  • P. John Robinson;E. C. Henry Amirtharaj

  • Affiliations:

  • Bishop Heber College, India;Bishop Heber College, India

  • Venue:
  • International Journal of Fuzzy System Applications
  • Year:
  • 2012

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Abstract

Various attempts have been made by researchers on the study of vagueness of data through intuitionistic fuzzy sets and vague sets, and also it was shown that vague sets are intuitionistic fuzzy sets. But there are algebraic and graphical differences between vague sets and intuitionistic fuzzy sets. In this paper an attempt is made to define the correlation coefficient of interval vague sets lying in the interval [0, 1], and a new method for computing the correlation coefficient of interval vague sets lying in the interval [-1, 1] using a-cuts over the vague degrees through statistical confidence intervals is presented by an example. The new method proposed in this paper produces a correlation coefficient in the form of an interval.