Dual interval model and its application to decision making

Authors:
Hideo Tanaka
Affiliations:
Faculty of Human and Social Environment, Hiroshima International University, Kurose, Hiroshima, 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 rough set approach, the rough approximations called lower and upper ones have been discussed. This concept can be extended into a new research field of data analysis. The proposed approach to data modeling is to obtain dual mathematical models by using a similar concept to rough sets. The dual models called lower and upper models have an inclusion relation. The lower and upper models are formulated by the greatest lower and least upper bounds, respectively to obtain interval models. The dual models are illustrated to be applied to AHP(Analytic Hierarchy Process) which is the well-known tool for decision making.