Abstract
The proposition about generalization of the existence of the residuum for left continuous uninorm U on a commutative, residuated l-monoid, with a neutral element is proved. The question raised previously was whether there are general operation groups which satisfy the residuum-based approximate reasoning, but at the same time are easily comprehensible and acceptable to application-oriented experts. The basic backgrounds of this research are the distance-based operators.
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Takacs, M. (2007). Lattice Ordered Monoids and Left Continuous Uninorms and t-norms. In: Castillo, O., Melin, P., Ross, O.M., Sepúlveda Cruz, R., Pedrycz, W., Kacprzyk, J. (eds) Theoretical Advances and Applications of Fuzzy Logic and Soft Computing. Advances in Soft Computing, vol 42. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-72434-6_57
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DOI: https://doi.org/10.1007/978-3-540-72434-6_57
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