Using Gradual Numbers to Analyze Non-Monotonic Functions of Fuzzy Intervals

Details Using Gradual Numbers to Analyze Non-Monotonic Functions of Fuzzy Intervals Using Gradual Numbers to Analyze Non-Monotonic Functions of Fuzzy Intervals

2007-12-19

arxiv.org/abs/0712.3264v1

Mathematics

Optimization and Control

Scientific paper

Gradual numbers have been introduced recently as a means of extending
standard interval computation methods to fuzzy intervals. The literature treats
monotonic functions of fuzzy intervals. In this paper, we combine the concepts
of gradual numbers and optimization, which allows for the evaluation of any
differentiable function on fuzzy intervals, with no monotonicity requirement.

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