  This book has seven chapters. In chapter one we give the basics needed to
make this book a self contained one. Chapter two introduces the notion of
interval semigroups and interval semifields and are algebraically analysed.
Chapter three introduces special types of interval semirings like matrix
interval semirings and interval polynomial semirings. Chapter four for the
first time introduces the notion of group interval semirings, semigroup
interval semirings, loop interval semirings and groupoid interval semirings and
these structures are studied. Interval neutrosophic semirings are introduced in
chapter five. Applications of these structures are given in chapter six. The
final chapter suggests around 120 problems for the reader.
