Some Group Theoretic Aspects of t-Norms
Fred Richman · International Journal of Uncertainty Fuzziness and Knowledge-Based Systems · 2000
Let A be the automorphism group of the unit interval with its usual order relation, and let B be the embedding of the multiplicative group of positive real numbers into A given by exponentiation. Strict t-norms are in one-to-one correspondence with the right cosets of B in A: Here, we identify the normalizer N of B in A and give explicit formulas for the corresponding set of t-norms. 1