Abstract
We put forward a model for transmission channels and channel coding which is possibilistic rather than probabilistic. We define a notion of possibilistic capacity, which is connected to a combinatorial notion called graph capacity. In the probabilistic case graph capacity is a relevant quantity only when the allowed decoding error probability is strictly equal to zero, while in the possibilistic case it is a relevant quantity for whatever value of the allowed decoding error possibility; as the allowed error possibility becomes larger the possibilistic capacity stepwise increases (one can reliably transmit data at a higher rate). We discuss an application, in which possibilities are used to cope with uncertainty as caused by a “vague” linguistic description of channel noise.
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Sgarro, A. (2001). The Capacity of a Possibilistic Channel. In: Benferhat, S., Besnard, P. (eds) Symbolic and Quantitative Approaches to Reasoning with Uncertainty. ECSQARU 2001. Lecture Notes in Computer Science(), vol 2143. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44652-4_35
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DOI: https://doi.org/10.1007/3-540-44652-4_35
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