Title :
A possibilistic interpretation of fuzzy sets by the context model
Author :
Gebhardt, Jörg ; Kruse, Rudolf
Author_Institution :
Dept. of Comput. Sci., Tech. Univ. of Braunschweig, Germany
Abstract :
The context model provides a formal framework for the representation, interpretation, and analysis of vague and uncertain data. The authors apply the context model to clarify the numerical foundations of fuzzy set theory and some well-known concepts like the extension principle. They introduce the semantic background of the context model, especially the concept of valuated vague characteristics. Some relationships between the context model and possibility theory are discussed. The epistemic and physical interpretation of fuzzy sets is dealt with by the context model
Keywords :
fuzzy set theory; grammars; context model; data analysis; data interpretation; data representation; epistemic interpretation; fuzzy sets; physical interpretation; possibilistic interpretation; semantics; uncertain data; vague data; Computer science; Context modeling; Cost accounting; Fuzzy set theory; Fuzzy sets; Possibility theory; Uncertainty;
Conference_Titel :
Fuzzy Systems, 1992., IEEE International Conference on
Conference_Location :
San Diego, CA
Print_ISBN :
0-7803-0236-2
DOI :
10.1109/FUZZY.1992.258699