新q阶序对模糊信息测度

New q-rung Orthopair Fuzzy Information Measure

q阶序对模糊信息测度作为一类刻画距离、相似度、熵、包含度和知识度的总体概念,能够用相应的测度有效地解决医疗诊断问题.针对q阶序对模糊距离、相似度、熵、包含度和知识度尚未建立统一的转换框架,提出了具有统一性的转换公式.首先,定义了q阶序对模糊信息测度的5类计算公式,证明了它们公理性的定义.然后,针对各类公式,构造了相应的基于q阶序对模糊算子的等式与不等式关系.最后,构建了q阶序对模糊信息测度统一转换框架,证明了它们的合理性.

As a kind of general concept describing distance measure,similarity measure,entropy,inclusion measure and knowledge measure,q-rung orthopair fuzzy information measure can be used to solve medical diagnosis effectively. Aiming at the lack of a unified transformation framework for q-rung orthopair fuzzy distance measure,similarity measure,entropy,inclusion measure and knowledge measure,a unified transformation formula was proposed. Firstly,five kinds of formulas for calculating q-rung orthopair fuzzy information measure were defined,and their axiomatic definitions were proved. Then,for the various formulas proposed,the equalities and inequalities based on operations were constructed. Finally,a unified transformation framework for q-rung orthopair fuzzy information measure was constructed,and their rationality was proved.