Ordered discrete and continuous Z-numbers


  • Mujahid Abdullahi Universiti Teknologi Malaysia
  • Tahir Ahmad
  • Vinod Ramachandran




Z-number, Discrete Z-number, Continuous Z-number, Relation, Lattice


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.


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