Measure method of fuzzy inclusion relation in granular computing

Authors:
Wenyong Zhou;Chunhua Liu;Hongbing Liu
Affiliations:
School of Computer and Information Technology, Xinyang Normal University, Xinyang, China;School of Computer and Information Technology, Xinyang Normal University, Xinyang, China;School of Computer and Information Technology, Xinyang Normal University, Xinyang, China
Venue:
ISNN'13 Proceedings of the 10th international conference on Advances in Neural Networks - Volume Part II
Year:
2013

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Abstract

For granular computing in discrete space, the inclusion relation between two granules is partially ordered. How to measure the fuzzy inclusion degree is one of the key issues. We proposed a fuzzy inclusion relation between two hyperbox granules using an inclusion measure function based on a linear positive valuation function induced by the longest diagonal a hyperbox granule. The fuzzy algebraic system is formed by the granule set and fuzzy inclusion relation between two granules, and used to guide the design of algorithms in granular computing.