目的研究三角范数的构造问题。方法借助半群代数理论的结果与方法进行构造。结果给出几种构造三角范数的方法,构造出三角范数族疋且满足对任意的c,d∈(0,1),c≤d当且仅当Td≤Tc。结论由已知的三角范数可以构造新三角范数。
Aim To investigate the construction of triangular norms. Methods The semigroup's theory and results are used to construct the triangular norms. Results Several new construction methods and a family of triangular norms Tc are provided and for any c, d ∈ (0,1), c≤ d if and only if Td≤ Tc. Conclusion A new t-norm can be obtained through the given ones.