Interval based evidence sets

Abstract

The relationship between set theory and the modeling of human categorization processes is the starting point of a discussion aiming at the definition of mathematical structures capable of better representing human categorization and linguistic capabilities. It is maintained that a theory of belief which acknowledges subjectivity and observed dependence, is imperative in any attempt to model cognitive categorization. A connection between the Dempster-Shafer Theory of Evidence and Interval Valued Fuzzy Sets is proposed through the presentation of a structure called Evidence Set. This structure allows the introduction of all the recognized forms of uncertainty uncapturable by Fuzzy or Interval Valued Fuzzy Sets alone, as well as a representation of belief in a set arrangement.