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Article type: Research Article
Authors: Li, Qing-Huaa; * | Huang, Han-Liangb | Xiu, Zhen-Yuc; *
Affiliations: [a] School of Mathematics and Information Sciences, Yantai University, Yantai, China | [b] School of Mathematics and Statistics, Minnan Normal University, Zhangzhou, China | [c] College of Applied Mathematics, Chengdu University of Information Technology, Chengdu, China
Correspondence: [*] Corresponding author. Qing-Hua Li, School of Mathematics and Information Sciences, Yantai University, Yantai 264005, China. E-mail: [email protected] and Zhen-Yu Xiu, College of Applied Mathematics, Chengdu University of Information Technology, Chengdu 610000, China. E-mail: [email protected].
Abstract: By using the residual implication on a frame L, a degree approach to special mappings in L-convex spaces and L-interval spaces is introduced. In the framework of L-convex spaces, degrees of L-CP mappings and L-CC mappings between L-convex spaces are defined. Also, in the situation of L-interval spaces, degrees of L-IP mappings and L-AIP mappings are proposed. Moreover, many conclusions with respect to theses mappings are discussed in a degree sense.
Keywords: L-convex space, L-interval space, L-CP mapping, L-CC mapping, L-IP mapping
DOI: 10.3233/JIFS-182569
Journal: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 2, pp. 2265-2274, 2019
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