The Conjugate Function of a Fuzzy $n$-cell Number-Valued Function

We introduce the concepts of conjugate and biconjugate fuzzy functions. Utilizing these definitions, we present conjugate calculus rules. In addition, we formulate and demonstrate relevant theorems, including the relationship between the notions of conjugacy and subdifferentiability, subgradient conjugate and Fenchel's inequality theorems which play an essential role in fuzzy optimization problems.