In this paper we classify fuzzy subgroups of the dihedral group $D_{pqrs}$  for distinct primes  $p$, $q$, $r$ and $s$. This follows similar work we have done on distinct fuzzy subgroups of some dihedral groups.We present formulae for the number of (i) distinct maximal chains of subgroups, (ii) distinct fuzzy subgroups and (iii) non-isomorphic classes of fuzzy subgroups under our chosen equival...

Example 3. How many ways are there to put m balls into n bins. Assume m ≤ n. 1. Balls are distinct and bins are distinct. Every ball has n choices. Hence n. Exercise 2. Why is the answer not m by looking at the opposite argument. 2. Balls are not distinct but bins are distinct. Take m identical balls and n− 1 identical sticks and permute them. Every permutation gives a different arrangement. So...

in this paper we classify fuzzy subgroups of the dihedral group $d_{pqrs}$  for distinct primes  $p$, $q$, $r$ and $s$. this follows similar work we have done on distinct fuzzy subgroups of some dihedral groups.we present formulae for the number of (i) distinct maximal chains of subgroups, (ii) distinct fuzzy subgroups and (iii) non-isomorphic classes of fuzzy subgroups under our chosen equival...

background and purpose: personal identity is the sense of being distinct from other individuals, which is of paramount importance during adolescence. modern theories suggest that young adults perceive personal identity in different ways, and several factors affect this phenomenon. leisure time activities are a significant element during adolescence. this study aimed to evaluate the relationship...

Qur’anic verses and hadiths certify that Allah has bestowed dignity upon mankind. Therefore, man essentially deserves respect. Islamic law has primarily made use of two ways to safeguard human dignity. First, there are prohibitions in Islamic law that safeguard man’s dignity. Second, the penal laws of Islam restrict punishments to those cases where they are absolutely necessary. In this article...