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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 210-702, Korea. Tel.: +82 33 640 2270; Fax: +82 33 647 3256; E-mail: [email protected].
Note: [1] This study was supported by Gangneung-Wonju National University.
Abstract: In this paper, we introduce soft implicative L-fuzzy interior and closure operators in a complete residuated lattice. We study the relations among soft implicative L-fuzzy interior and closure operators, soft L-fuzzy topologies and soft L-fuzzy cotopologies. In particular, we study some functorial relationships among previous spaces. We give their examples.
Keywords: Complete residuated lattice, soft implicative L-fuzzy interior and closure operators, soft L-fuzzy (co)topologies, interior (closed) soft maps, continuous soft maps
DOI: 10.3233/JIFS-151521
Journal: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 1, pp. 257-270, 2017
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