# Interval Based Evidence Sets

L.M. Rocha

Computer Research Group, MS P990

Los Alamos National Laboratory

Los Alamos, NM 87545

#### In: *Proceedings of the ISUMA-NAFIPS'95*. B. Ayyub (Ed.).
IEEE Press. pp.624-629.

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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 observer 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. *