SOME CONSTRUCTION METHODS FOR IMPLICATION OPERATORS ON BOUNDED LATTICES

Abstract

In this paper, we focus the construction methods of implications on bounded lattices. We introduce several methods to obtain implication on bounded lattices. We basically base on implication defined on subinterval such as [a,1] or [0,b] of the bounded lattice L which has a,b ∈ L with a ≤ b for these construction methods. We also use fuzzy logic operators such as t-norms, t-conorms, negations and implications on L in some construction methods. In addition, we give some remarks and examples to make the new construction methods.

Keywords

• Implication
• t-norm
• negation
• bounded lattice
• subinterval

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