Fuzzy cardinality based evaluation of quantified sentences

Citations of this article
Mendeley users who have this article in their library.


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. © 2000 Elsevier Science Inc. All rights reserved.




Delgado, M., Sánchez, D., & Vila, M. A. (2000). Fuzzy cardinality based evaluation of quantified sentences. International Journal of Approximate Reasoning, 23(1), 23–66. https://doi.org/10.1016/S0888-613X(99)00031-6

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free