A comparison of interval analysis using constraint interval arithmetic and fuzzy interval analysis using gradual numbers

Weldon Alexander Lodwick, Elizabeth A. Untiedt · 2008

There are two approaches that restore the algebraic properties of real arithmetic to fuzzy arithmetic - constraint interval arithmetic on alpha-cuts and arithmetic on intervals of gradual numbers. In this study, the relationships between fuzzy interval analysis from a constraint interval approach and from a gradual number approach will be discussed.

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