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Some Group Theoretic Aspects of t-norms

By Fred Richman and Elbert Walker

Abstract

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.

Year: 1998
OAI identifier: oai:CiteSeerX.psu:10.1.1.353.5280
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