Fuzzy Operands of Semigroups

Abstract

We first obtain results of fuzzy operands of semigroups. Then some nice interplays between operands M of a semigroup and its fuzzy suboperands are obtained in terms of decomposition. These are then used to revisit one important result of semigroup operands viz. “there exists a bijection between the set of all decompositions of a right operand M over a semigroup S and the set of a special type of operand equivalences on M”.

Keywords

• Operand
• Operand equivalence
• Fuzzy suboperand
• Fuzzy operand equivalence
• Fuzzy factor operand