Operations on fuzzy sets with piecewise linear membership function

Przemysław Kudłacik

Abstract


Paper presents precise description of algorithms for basic operations on fuzzy sets with piecewise linear membership function. Membership function is represented with vector storing subsequent points of function’s description. Presented algorithms concern operations like calculating a membership value for given element, fuzzyfication, defuzzyfication as well as operations on more than one fuzzy sets like intersection, union and aggregation.

Keywords


fuzzy set; algorithm

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References


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DOI: http://dx.doi.org/10.21936/si2008_v29.n3A.527