Table 4 For modification of relations

mr1

$\left\{\begin{array}{ll}min\left({\mu }_R\right(u,v)/s,1),& \text{if}s>0\\ 1,& \text{otherwise}\end{array}\right.$

Expansion

mr2

min((1 – s)+s.μ _R (u, v),1)

Reduction

mr3

min(1 – s+μ _R (u, v),1)

Expansion

mr4

max(1 – s.μ _A (u), μ _B (v))

Reduction

mr5

max(1 – s.μ _A (u), min(μ _A (u), μ _B (v)))

mr6

max(1 – s, min(s, max(1 – μ _A (u), min(μ _A (u), μ _B (v)))))

mr7

min(1 – μ _A (u).s+s.μ _A (u).μ _B (v),1)