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| Év szerint | Hónap szerint | Ugrás a hónaphoz | |||||||
Andreja Tepavcevic: Special type of planar lattices and applications in interval-valued sets (in English) |
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| Special type of planar lattices and applications in interval-valued sets Andreja Tepavcevic, Marijana Gorjanac Ranitovic (University of Novi Sad) Abstract. Interval valued sets are mappings from a set to a poset of all intervals in a complete lattice (using various orderings on intervals). These types of valued sets have various applications, among other areas, also in Medicine. A problem of synthesis of families of subsets (cut sets) into an interval valued set has been solved and a special type of planar lattices appeared in these investigations. These are so called join-between planar lattices. In these lattices another order can be defined such that comparable elements in the lattice order are incomparable in the new order and vice versa. In this context, bounded anti-chains have been investigated. A lattice is algebraic join-between planar if and only if it can be join-embedded into the direct product of two algebraic chains. Since the starting lattice is often [0,1] real interval, the investigations are also generalized to non-algebraic join-between planar lattices, particularly to these having enough meet irreducible elements. |
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| Hely : Bolyai Intézet, I. Kórház, fszt. 17., folyóirat-olvasó terem | ||||
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