in this paper we enumerate fuzzy subgroups, up to a natural equivalence, of some finite abelian p-groups of rank two where p is any prime number. after obtaining the number of maximal chains of subgroups, we count fuzzy subgroups using inductive arguments. the number of such fuzzy subgroups forms a polynomial in p with pleasing combinatorial coefficients. by exploiting the order, we label the s...

In this paper, we propose a case-based approach for characterizing and analyzing subgroup patterns: We present techniques for retrieving characteristic factors and cases, and merge these into prototypical cases for presentation to the user. In general, cases capture knowledge and concrete experiences of specific situations. By exploiting case-based knowledge for characterizing a subgroup patter...

BACKGROUND The aim of this study was to investigate the serology and gene sequence characteristics of the A307 subgroup of the ABO blood group. MATERIAL AND METHODS Monoclonal anti-A and anti-B antibodies were used to detect the ABO antigens of a proband whose positive blood type was not consistent with the negative blood type of the ABO blood group. Standard A-, B-, and O-negative typing cells...

This paper presents two new ways of example weighting for subgroup discovery. The proposed example weighting schemes are applicable to any subgroup discovery algorithm that uses the weighted covering approach to discover interesting subgroups in data. To show the implications that the new example weighting schemes have on subgroup discovery, they were implemented in the APRIORI-SD algorithm. RO...

The vitamin D (1,25-dihydroxyvitamin D3) receptor (VDR) gene encodes a protein that functions in the transcriptional regulation of vitamin D-responsive genes and plays a role in innate immunity and adaptive immune responses. In this study, we investigated the relationship between VDR polymorphisms (BsmI, ApaI, and TaqI) and primary biliary cirrhosis (PBC) risk. We conducted an overall meta-anal...