On Fuzzy Antiideals of a Semiring

Abstract

In this paper, we expand the concept of fuzzy antideals in semigroups by extending it to the topic of semirings. Starting with the definition of left and right antideals in a semiring, we illustrate our concept with nontrivial examples and investigate their fundamental properties. Next, we present fuzzy antideals inside semirings and provide subtle insights into their structural properties. Finally, we create sig- nificant links between semiring algebraic structures and fuzzy antideals, enhancing our comprehension of their theoretical consequences.