Geodesic
Fuzzy points based betweenness relations in L-convex spaces
Filomat, Tome 35 (2021) no. 10, p. 3521

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DOI

As topology-like mathematical structures, convex structures can be characterized by between-ness relations via (restricted) hull operators in convex spaces. In a topological approach, the aim of this paper is to present the fuzzy counterpart of betweenness relations based on fuzzy points in fuzzy convex spaces. Concretely, the notion of L-betweenness relations via restricted L-hull operators is introduced. Firstly, it is proved that L-betweenness relations are categorically isomorphic to restricted L-hull operators and L-remotehood systems, respectively. Secondly, it is shown that L-betweenness relations from two perspectives of restricted L-hull operators and L-remotehood systems are unified. Finally, a new type of restricted L-hull operators in accordance with L-betweenness relations is proposed and the relationship between two types of restricted L-hull operators is displayed
DOI : 10.2298/FIL2110521Y
Classification : 54A20, 54A40
Keywords: Fuzzy convex structure, fuzzy topology, L-convex structure, L-betweenness relation, restricted L-hull operator, L- remotehood system 
Hui Yang; Bin Pang. Fuzzy points based betweenness relations in L-convex spaces. Filomat, Tome 35 (2021) no. 10, p. 3521 . doi: 10.2298/FIL2110521Y
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     author = {Hui Yang and Bin Pang},
     title = {Fuzzy points based betweenness relations in {L-convex} spaces},
     journal = {Filomat},
     pages = {3521 },
     year = {2021},
     volume = {35},
     number = {10},
     doi = {10.2298/FIL2110521Y},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2110521Y/}
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