This study is an investigation of fuzzy linear regression model for crisp/fuzzy input and fuzzy output data. A least absolutes deviations approach to construct such a model is developed by introducing and applying a new metric on the space of fuzzy numbers. The proposed approach, which can deal with both symmetric and non-symmetric fuzzy observations, is compared with several existing models by...

We show that n-way plurality voting on a large wlOrdered object space has time and space complexities of B(n2) and B(n), respectively. If the object space is ordered, then sorting can be used to reduce the time complexity to the optimal B(nlogn). We then prove that weighted t-out-of-Ev; threshold voting on such an object space has time complexity O(np) and needs working storage space for only p...

The profile of a relational structure R is the function φR which counts for every integer n the number φR(n), possibly infinite, of substructures of R induced on the n-element subsets, isomorphic substructures being identified. If φR takes only finite values, this is the Hilbert function of a graded algebra associated with R, the age algebra KA(R), introduced by P. J. Cameron. In this paper we ...