SHORT NOTE: ON A CONDITIONAL-CONJUNCTIVE LAW WITH FUZZY SETS

摘要

This short paper is devoted to study the law (μ→σ)·λ≤μ→σ·λ, with fuzzy sets μ, σ, and λ, in the case the conditional → is functionally expressible by a numerical function J, and the intersection · is functionally expressible by a continuous t-norm T. That is, it deals with the functional inequality T(J(a,b),c) ≤ J(a, T(b, c)) in the unknowns T and J.