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Journal of Applied Mathematics
Volume 2012, Article ID 385079, 16 pages
http://dx.doi.org/10.1155/2012/385079
Research Article

Fuzzy Case-Based Reasoning in Product Style Acquisition Incorporating Valence-Arousal-Based Emotional Cellular Model

1Department of Information and Engineering, Wenzhou Medical College, Wenzhou 325035, China
2School of Mechanical Engineering, Southeast University, Nanjing 211189, China
3Modern Industrial Design Institute, Zhejiang University, Hangzhou 310027, China

Received 9 October 2011; Accepted 28 December 2011

Academic Editor: Chong Lin

Copyright © 2012 Fuqian Shi et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Emotional cellular (EC), proposed in our previous works, is a kind of semantic cell that contains kernel and shell and the kernel is formalized by a triple- L = <P, d, δ>, where P denotes a typical set of positive examples relative to word-L, d is a pseudodistance measure on emotional two-dimensional space: valence-arousal, and δ is a probability density function on positive real number field. The basic idea of EC model is to assume that the neighborhood radius of each semantic concept is uncertain, and this uncertainty will be measured by one-dimensional density function δ. In this paper, product form features were evaluated by using ECs and to establish the product style database, fuzzy case based reasoning (FCBR) model under a defined similarity measurement based on fuzzy nearest neighbors (FNN) incorporating EC was applied to extract product styles. A mathematical formalized inference system for product style was also proposed, and it also includes uncertainty measurement tool emotional cellular. A case study of style acquisition of mobile phones illustrated the effectiveness of the proposed methodology.