IPMU 2010: Information Processing and Management of Uncertainty in Knowledge-Based Systems. Theory and Methods pp 666-675 | Cite as
Some Remarks on the Solutions to the Functional Equation I(x,y) = I(x,I(x,y)) for D-Operations
Conference paper
Abstract
This paper is devoted to the iterative functional equation I(x,y) = I(x,I(x,y)) for all x,y ∈ [0,1] where I denotes a fuzzy implication. This equation, that comes from a tautology in crisp logic, is revised from the results obtained in A. Xie and F. Qin (2010) Information Sciences, doi:10.1016/j.ins.2010.01.023, clarifying which kinds of continuous t-norms and t-conorms can be used in order to generate D-operations satisfying the mentioned equation.
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