in this paper, we introduce some properties of an intuitionistic normal fuzzy m-subgroup of m- group with m-homomorphism and isomorphism. we study he image, the pre-image and the inverse mapping of the intuitionistic normal fuzzy m-‎subgroups.‎

the sigatoka disease complex of banana involves three related ascomycetous fungi viz., mycosphaerella fijiensis, m. musicola, and m. eumusae. due to rather similar symptoms on banana, similar teleomorph morphology and problems associated with growth and sporulation in culture, species identification based on classical methods is troublesome. the exact distribution of these three species and the...

A subset S of nodes in a graph G is k-connected m-dominating set ((k , m)-cds) if the subgraph G[S] induced by and every $$v \in V {\setminus } S$$ has at least m neighbors S. In k -Connected -Dominating Set m)-CDS) problem, goal to find minimum weight (k, m)-cds node-weighted graph. For $$m \ge k$$ we obtain following approximation ratios. unit disk graphs improve ratio $$O(k \ln k)$$ Nutov (I...