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A theory of refinement structure of hedge algebras and its applications to fuzzy logic

Nguyen HoHuynh Nam — 1999

Banach Center Publications

In [13], an algebraic approach to the natural structure of domains of linguistic variables was introduced. In this approach, every linguistic domain can be interpreted as an algebraic structure called a hedge algebra. In this paper, a refinement structure of hedge algebras based on free distributive lattices generated by linguistic hedge operations will be examined in order to model structure of linguistic domains more properly. In solving this question, we restrict our consideration to the specific...

An alternative extension of the k-means algorithm for clustering categorical data

Ohn SanVan-Nam HuynhYoshiteru Nakamori — 2004

International Journal of Applied Mathematics and Computer Science

Most of the earlier work on clustering has mainly been focused on numerical data whose inherent geometric properties can be exploited to naturally define distance functions between data points. Recently, the problem of clustering categorical data has started drawing interest. However, the computational cost makes most of the previous algorithms unacceptable for clustering very large databases. The -means algorithm is well known for its efficiency in this respect. At the same time, working only on...

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