Complete lattices and closure operators in ordered sets are considered from the point of view of fuzzy logic. A typical example of a fuzzy order is the graded subsethood of fuzzy sets. Graded subsethood makes the set of all fuzzy sets in a given universe into a completely lattice fuzzy ordered set (i.e. a complete lattice in fuzzy setting). Another example of a completely lattice fuzzy ordered ...

A well known theorem of Cantor asserts that the cardinal of the power-set of a given set always exceeds the cardinal of the original set. An analogous result for sets having additional structure is the well known theorem that the set of initial segments of a well ordered set always has order type greater than the original set. These two theorems suggest that there should be a similar result for...

the disease of thalassemia major requires mangement by repeated transfusions of packed cell and iron chelators such as deferoxamine. today, serum ferritin is used for estimation of adequacy of the management. as the most morbidities and mortalities of the disease are the consequences of cardiac complications. echocardiography is periodically periodically performed along with the management. in ...