Abstract
The focus of this chapter is on the study of NeutroSemigroups. NeutroSemigroups are alternatives to the classical semigroups where the closure law is allowed to be either partially well defined (with the degree of truth T) or partially indeterminate (with the degree of indeterminacy I) or partially outer defined (with the degree of falsehood F), and associative axiom is equally allowed to be either partially true (with the degree of truth T) or partially indeterminate (with the degree of indeterminacy I) or partially outer defined (with the degree of falsehood F). Elementary properties of NeutroSemigroups with interesting examples are presented.
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