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Article type: Research Article
Authors: Ko, Jung Mi | Kim, Yong Chan*
Affiliations: Department of Mathematics, Gangneung-Wonju National University, Gangneung, Gangwondo, Korea
Correspondence: [*] Corresponding author. Yong Chan Kim, Department of Mathematics, Gangneung-Wonju National University, Gangneung, Gangwondo, Korea. E-mail: yck@gwnu.ac.kr.
Note: [1] This work was supported by Research Institute of Natural Science of Gangneung-Wonju National University.
Abstract: In this paper, we introduce the notion of factorizations of fuzzy sets in complete residuated lattices. Moreover, we investigate fuzzy partially orders, the upper and lower approximation operators and Alexander (fuzzy) topologies on factorizations of fuzzy sets and give their examples.
Keywords: Monoid, complete residuated lattices, factorizations, upper and lower approximation operators, fuzzy partially orders, Alexandrov (fuzzy) topologies
DOI: 10.3233/IFS-151881
Journal: Journal of Intelligent & Fuzzy Systems, vol. 30, no. 3, pp. 1709-1718, 2016
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