Fuzzy cardinality based evaluation of quanti®ed sentences Delgado Calvo-Flores, Miguel Sánchez Fernández, Daniel Vila Miranda, María Amparo Inteligencia artificial Artificial intelligence Quantified statements are used in the resolution of a great variety of problems. Several methods have been proposed to evaluate statements of types I and II. The objective of this paper is to study these methods, by comparing and generalizing them. In order to do so, we propose a set of properties that must be fulfilled by any method of evaluation of quantified statements, we discuss some existing methods from this point of view and we describe a general approach for the evaluation of quantified statements based on the fuzzy cardinality and fuzzy relative cardinality of fuzzy sets. In addition, we discuss some concrete methods derived from the mentioned approach. These new methods fulfill all the properties proposed and, in some cases, they provide an interpretation or generalization of existing methods. 2022-11-10T08:57:16Z 2022-11-10T08:57:16Z 1999-12-15 journal article Miguel Delgado, Daniel Sánchez, Maria Amparo Vila, Fuzzy cardinality based evaluation of quantified sentences, International Journal of Approximate Reasoning, Volume 23, Issue 1, 2000, Pages 23-66, ISSN 0888-613X, [https://doi.org/10.1016/S0888-613X(99)00031-6] https://hdl.handle.net/10481/77872 10.1016/S0888-613X(99)00031-6 eng http://creativecommons.org/licenses/by-nc-nd/4.0/ open access Attribution-NonCommercial-NoDerivatives 4.0 Internacional Elsevier