In this paper, a new concept of anti-homomorphism between two fuzzy groups G and G‫׀‬ is defined many results analogous to homomorphism of groups are established

In this paper a first step in classifying the fuzzy subgroups of a finite nonabelian group is made. We develop a general method to count the number of distinct fuzzy subgroups of such groups. Explicit formulas are obtained in the particular case of dihedral groups.

The theory of fuzzy sets has developed in many directions and is finding application in a wide variety of fields.Rosenfeld (7) in 1971 used this concept to develop the theory of fuzzy groups, In this paper we have given independent proof of several theorems on Mfuzzy groups. we discuss about Mfuzzy groups and investigate some of their structures on the concept of Mfuzzy group family.

in this paper, we compute the number of fuzzy subgroups of some classes of non-abeilan groups. explicit formulas are givenfor dihedral groups $d_{2n}$, quasi-dihedral groups $qd_{2^n}$, generalized quaternion groups $q_{4n}$ and modular $p$-groups $m_{p^n}$.

in this paper we study a representation of a fuzzy subgroup $mu$ of a group $g$, as a product of indecomposable fuzzy subgroups called the components of $mu$.  this representation is unique up to the number of components and their isomorphic copies. in the crisp group theory, this is a well-known theorem attributed to remak, krull, and schmidt. we consider the lattice of fuzzy subgroups and som...

the ecological potential assessment of forest sites introduces an index or indices that show the potential of forest site for fulfillment of special different roles of forest. khanikan forest at chalous needs precise investigation for assessment as indicator of lowland forests in forest ecosystems of northern iranwith considering its location position in caspian lowland and different values. th...

Fuzzy subgroups of finite groups have been treated recently using the concept of pinnedflags. In this paper, we consider the operations of intersection, sum, product, and quotient of fuzzy subgroups of finite abelian groups in general, in terms of pinned-flags. We develop algorithms to construct pinned-flags of fuzzy subgroups corresponding to these operations and prove their validity. We illus...

Clustering algorithms have been widely used artificial intelligence, data mining and machine learning, etc. It is unsupervised classification and is divided into groups according to data sets. That is, the data sets of similarity partition belong to the same group; otherwise data sets divide other groups in the clustering algorithms. In general, to analysis interval data needs Type II fuzzy log...