变精度区间集概念格

Variable threshold interval⁃set concept lattices

变精度概念格是利用蕴含算子和一个阈值定义的模糊形式背景下的概念格.为刻画部分已知的变精度概念格,将区间集引入到模糊形式背景上,定义外延与内涵均为区间集的变精度区间集概念格,研究它们的性质.在此基础上进一步研究变精度概念格与变精度区间集概念格之间的关系.根据变精度区间集概念的结构特点,将变精度区间集概念格分解成与变精度概念格同构的几个子格,由此给出了构造变精度区间集概念格的方法.

Variable threshold concept lattice is obtained by using an implication operator and a threshold value on a fuzzy formal context.In order to depict a partially‐known variable threshold concept,the interval set is introduced into the fuzzy formal context.A variable threshold interval‐set concept lattice is defined with whose extension and intension are both interval sets,and the related properties are also discussed.Based on these,the relationships between the variable threshold concept lattice and variable threshold interval‐set concept lattice are studied.According to the structural characteristics of variable threshold interval‐set concepts,a variable threshold interval‐set concept lattice is divided into several sublattices which are isomorphic to the variable threshold concept lattice.Then the method of constructing the variable threshold intervalset concept lattice is given.