A random set semantics for fuzzy labels is proposed in which we model the vagueness of fuzzy concepts in terms of their level of appropriateness as descriptions for values. This random set model is then shown to be characterised by a certain axiom system for appropriateness measures. It is then shown how some t-norms can generate appropriateness measures and an attempt is made to identify a family of t-norms that can be used consistently for this purpose. The calculus that is introduced is functional but not truth-functional.
|Translated title of the contribution||A Random Set Model for Fuzzy Labels|
|Title of host publication||Symbolic and Quantitative Approaches to Reasoning with Uncertainty|
|Subtitle of host publication||7th European Conference, ECSQARU 2003 Aalborg, Denmark, July 2-5, 2003 Proceedings|
|Number of pages||13|
|Publication status||Published - Sep 2003|
|Name||Lecture Notes in Computer Science|