Triangular norms and related operators in L*-fuzzy set theory

The logical operators on the unit interval (triangular norms and conorms, negators, implicators and uninorms) are extended to the lattice L* = {(x1, x2) | (x1, x2) ∈ [0, 1]^2 and x1 + x2 ≤ 1} and characterized, where L* is the underlying lattice of both interval-valued and intuitionistic fuzzy set theory.

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