Fuzziness and uncertainty within the framework of context model

Authors:
Van-Nam Huynh;Mina Ryoke;Yoshiteru Nakamori;Tu Bao Ho
Affiliations:
Department of Computer Science, Quinhon University, Quinhon, Vietnam and Japan Advanced Institute of Science and Technology, Tatsunokuchi, Ishikawa, Japan;Graduate School of Business Sciences, University of Tsukuba, Bunkyo, Tokyo, Japan;Japan Advanced Institute of Science and Technology, Tatsunokuchi, Ishikawa, Japan;Japan Advanced Institute of Science and Technology, Tatsunokuchi, Ishikawa, Japan
Venue:
IFSA'03 Proceedings of the 10th international fuzzy systems association World Congress conference on Fuzzy sets and systems
Year:
2003

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Abstract

In this paper, we will briefly show that the notion of context model introduced by Gebhardt and Kruse (1993) can be considered as a unifying framework for representing fuzziness and uncertainty. Firstly, from a decision making point of view, the Dempster- Shafer theory of evidence will be reinterpreted within the framework of context model. Secondly, from a concept analysis point of view, the context model will be semantically considered as a data model for constructing membership functions of fuzzy concepts in connection with likelihood as well as random set views on the interpretation of membership grades. Furthermore, an interpretation of mass assignments of fuzzy concepts within the context model is also established.