Mereology and uncertainty

Lech T. Polkowski

DOI: http://dx.doi.org/10.12775/LLP.2015.008

Abstract


Mereology as an art of composing complex concepts out of simpler parts is suited well to the task of reasoning under uncertainty: whereas it is most often difficult to ascertain whether a given thing is an element of a concept, it is possible to decide with belief degree close to certainty that the class of things is an ingredient of an other class, which is sufficient for carrying out the reasoning whose conclusions are taken as true under given conditions. We present in this work a scheme for reasoning based on mereology in which mereology in the classical sense is fuzzified in analogy to the concept fuzzification in the sense of L. A. Zadeh. In this process, mereology becomes rough mereology.

Keywords


knowledge; uncertainty; vaguenes; ambiguity; rough sets; fuzzy sets; mereology; rough mereology; granulation of knowledge; granular logics; spatial reasoning

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References


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