Ordered discrete and continuous Z-numbers

Mujahid Abdullahi, Tahir Ahmad, Vinod Ramachandran
2020 Malaysian Journal of Fundamental and Applied Sciences  
Both discrete and continuous Z-numbers are pairs of discrete and continuous fuzzy numbers. Even though the later are ordered, this do not simply imply the discrete and continuous Z-numbers are ordered as well. This paper proposed the idea of ordered discrete and continuous Z-numbers, which are necessary properties for constructing temporal Z-numbers. Linear ordering relation, , is applied between set of discrete or continuous Z-numbers and any arbitrary ordered subset of to obtain the properties.
doi:10.11113/mjfas.v16n4.1632 fatcat:6276d6nh2rcitbgcxlgnkh3egm