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A Characterization of Convex Fuzzy Mappings

A Characterization of Convex Fuzzy Mappings

Chih-Yuan Chen, Cheng-Pin Wang, Tetz C. Huang
Copyright: © 2010 |Volume: 1 |Issue: 3 |Pages: 5
ISSN: 1947-3087|EISSN: 1947-3079|EISBN13: 9781609609535|DOI: 10.4018/jalr.2010070104
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MLA

Chen, Chih-Yuan, et al. "A Characterization of Convex Fuzzy Mappings." IJALR vol.1, no.3 2010: pp.40-44. http://doi.org/10.4018/jalr.2010070104

APA

Chen, C., Wang, C., & Huang, T. C. (2010). A Characterization of Convex Fuzzy Mappings. International Journal of Artificial Life Research (IJALR), 1(3), 40-44. http://doi.org/10.4018/jalr.2010070104

Chicago

Chen, Chih-Yuan, Cheng-Pin Wang, and Tetz C. Huang. "A Characterization of Convex Fuzzy Mappings," International Journal of Artificial Life Research (IJALR) 1, no.3: 40-44. http://doi.org/10.4018/jalr.2010070104

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Abstract

As any real-valued functions can be regarded as a fuzzy mapping, the research on fuzzy mappings extends the research on real-valued functions. In this paper, a characterization of convex fuzzy mappings is obtained. Supposeis a fuzzy mapping, whereis a non-empty convex subset ofandis the set of all fuzzy numbers. With respect to the fuzzy-max order, is convex if and only if it is both quasi-convex and intermediate-point convex.

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