A new family of fuzzy operators and its use in the break-collapse method

We introduce a new parameterized family of fuzzy operators (t-norms, t-conorms and negation) which satisfies all the standard requirements and contains, as particular cases, both Hamacher (1978) and Sugeno operators. In addition to this, we show that the break-collapse method (used in graph theory for some magnetic models) is applicable for these operators. The procedure is illustrated on the Wheatstone bridge topology.