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...

results responsiveness, effectiveness, and flexibility with eigenvalue of 2.628 were identified as the main aspects of agility in humanitarian health supply chains. the components of visibility, reactivity, and speed were identified as components of responsiveness. quality, reliability, and completeness were identified as components of effectiveness. volume, delivery, mix, and product were know...

the primary purpose of this paper is to highlight for the research community and practitioners the various aspects of using vmi-type supply chains in today’s business environment as well as a number of directions for future studies. in this regard, fifty articles published in major international journals, beginning in 1995, which contribute to the vmi-type supply chains are reviewed via a syste...

background: the status of measles elimination is best summarized by evaluation of the effective reproduction number r; maintaining r < 1 is necessary and sufficient to achieve elimination. in the present article, we estimated reproduction number  for the measles data reported for the fars province of iran in 2001–03.   methods: we estimated by using sizes and durations of chains of measles tran...

Let $G$ be a molecular graph with vertex set $V(G)$, $d_G(u, v)$ the topological distance between vertices $u$ and $v$ in $G$. The Hosoya polynomial $H(G, x)$ of $G$ is a polynomial $sumlimits_{{u, v}subseteq V(G)}x^{d_G(u, v)}$ in variable $x$. In this paper, we obtain an explicit analytical expression for the expected value of the Hosoya polynomial of a random benzenoid chain with $n$ hexagon...

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...

The primary purpose of this paper is to highlight for the research community and practitioners the various aspects of using VMI-type supply chains in today’s business environment as well as a number of directions for future studies. In this regard, fifty articles published in major international journals, beginning in 1995, which contribute to the VMI-type supply chains are reviewed via a syste...