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Open AccessArticle

Degrees of L-Continuity for Mappings between L-Topological Spaces

by Zhenyu Xiu 1 and Qinghua Li 2,*
1
College of Applied Mathematics, Chengdu University of Information Technology, Chengdu 610000, China
2
School of Mathematics and Information Sciences, Yantai University, Yantai 264005, China
*
Author to whom correspondence should be addressed.
Mathematics 2019, 7(11), 1013; https://doi.org/10.3390/math7111013
Received: 15 September 2019 / Revised: 13 October 2019 / Accepted: 17 October 2019 / Published: 24 October 2019
(This article belongs to the Special Issue Fuzzy Sets, Fuzzy Logic and Their Applications)
By means of the residual implication on a frame L, a degree approach to L-continuity and L-closedness for mappings between L-cotopological spaces are defined and their properties are investigated systematically. In addition, in the situation of L-topological spaces, degrees of L-continuity and of L-openness for mappings are proposed and their connections are studied. Moreover, if L is a frame with an order-reversing involution , where b = b for b L , then degrees of L-continuity for mappings between L-cotopological spaces and degrees of L-continuity for mappings between L-topological spaces are equivalent. View Full-Text
Keywords: L-cotopological space; L-topological space; degree of L-continuity; degree of L-closedness; degree of L-openness L-cotopological space; L-topological space; degree of L-continuity; degree of L-closedness; degree of L-openness
MDPI and ACS Style

Xiu, Z.; Li, Q. Degrees of L-Continuity for Mappings between L-Topological Spaces. Mathematics 2019, 7, 1013.

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