Abstract
This paper discuss on Interval Arithmetic by Moore under two main principles: inclusion isotonicity and quick computations under algebraic cost. In 1999, to overcome Moore difficulties Lodwick introduced constrained interval arithmetic. This paper discuss on Lodwick’s theory under these principles.
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Acknowledgments
The authors would like to thank UESB (Southwest Bahia State University) and UFRN (Federal University of Rio Grande do Norte) for their financial support. This research was partially supported by the Brazilian Research Council (CNPq) under the process 306876/2012-4.
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Bergamaschi, F.B., Santiago, R.H.N. (2022). A Study on Constrained Interval Arithmetic. In: Rayz, J., Raskin, V., Dick, S., Kreinovich, V. (eds) Explainable AI and Other Applications of Fuzzy Techniques. NAFIPS 2021. Lecture Notes in Networks and Systems, vol 258. Springer, Cham. https://doi.org/10.1007/978-3-030-82099-2_3
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