A Note on Zadeh's Extension Principle
Applied and Computational Mathematics
Volume 4, Issue 1-2, January 2015, Pages: 10-14
Received: Nov. 27, 2014; Accepted: Dec. 2, 2014; Published: Dec. 27, 2014
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Author
Masamichi Kon, Graduate School of Science and Technology, Hirosaki University, Hirosaki, Japan
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Abstract
For a mapping, fuzzy sets obtained by Zadeh's extension principle are images of other fuzzy sets on the domain of the mapping under the mapping. Some relationships between images of level sets of one or two fuzzy sets under a mapping and another fuzzy set obtained from the one or two fuzzy sets by Zadeh's extension principle are known. In the present paper, the known results are extended to more general ones, and some useful results for applications are derived by the extended ones.
Keywords
Zadeh’s Extension Principle, Fuzzy Inner Product, Fuzzy Distance
To cite this article
Masamichi Kon, A Note on Zadeh's Extension Principle, Applied and Computational Mathematics. Special Issue:New Advances in Fuzzy Mathematics: Theory, Algorithms, and Applications. Vol. 4, No. 1-2, 2015, pp. 10-14. doi: 10.11648/j.acm.s.2015040102.13
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