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...

We introduce an objective function based fuzzy clustering technique that assigns one in uence parameter to each single data vari able for each cluster Our method is not only suited to detect structures or groups in unevenly over the structure s single domains distributed data but gives also information about the in uence of individual variables on the detected groups In addition our ap proach c...

Biological taxonomy is at the heart of species identifications. Such identifications are instrumental in biodiversity studies, ecological assessment, and phylogenetic analysis, among other studies. Fuzzy measures and classification integration was used to analyze shape groups of the diatom Asterionella using fuzzy Fourier shape coefficients and fuzzy morphometric measures. Based on this analysi...

In this paper, a TSK-type neuro-fuzzy system with multi groups cooperation based symbiotic evolution method (TNFS-MGCSE) is proposed. The TNFS-MGCSE is developed from symbiotic evolution. The symbiotic evolution is different from traditional GAs (genetic algorithms) that each chromosome in symbiotic evolution represents a rule of fuzzy model. The MGCSE is different from the traditional symbioti...

Interval Pairwise Comparison Matrices have been widely used to account for uncertain statements concerning the preferences of decision makers. Several approaches have been proposed in the literature, such as multiplicative and fuzzy interval matrices. In this paper, we propose a general unified approach to Interval Pairwise Comparison Matrices, based on Abelian linearly ordered groups. In this ...

In and we introduced a rst model of fuzzy projective geometries deduced from respectively fuzzy vector spaces and fuzzy groups This provided a link between the fuzzy versions of classical theories that are very closely related However the geometric structure involved in this model is rather weak a fuzzy projec tive space in this sense is equivalent with a given se quence of subspaces in the bas...

In this paper, we study modal operator F α,β in intuitionistic fuzzy subgroup of a group and derive some results. 1. Introduction The idea of intuitionistic fuzzy sets (IFSs) was given by [1, 2] to generalize the notion of fuzzy sets (FSs). Intuitionistic fuzzy modal operator was defined by Atanassov in [3]. The modal operators have been known to be important tools for IFSs where the operators ...