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Intuitionistic Fuzzy Set Functions, Mass Assignment Theory, Possibility Theory and Histograms

机译:直觉模糊设定功能,大众分配理论,可能性理论和直方图

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The idea of describing imprecise information taking independently into account both positive and negative aspects lies in the core of intuitionistic fuzzy sets which are generalization of fuzzy sets. But to apply intuitionistic fuzzy sets which seem to be a very good tool for representation and processing of imperfect information, one should be able to assign their membership and non-membership functions. In this paper we propose two ways of assigning the membership and non-membership functions for intuitionistic fuzzy sets: a) - by asking experts; b) - from relative frequency distributions (histograms). To justify the second (automatic) method, we show some similarities/parallels between intuitionistic fuzzy set theory and mass assignment theory - a well known tool for dealing with both probabilistic and fuzzy uncertainties. We also recall a semantic for membership functions - the interpretation having its roots in the possibility theory. Finally, we propose the automatic algorithm assigning the functions describing intuitionistic fuzzy sets.
机译:描述不精确信息独立于考虑的正面和消极方面的想法在于是直观模糊集的核心,这是模糊集的泛化。但要应用直觉模糊集,似乎是一个非常好的工具,用于表示不完美信息的表示和处理,应该能够分配他们的成员资格和非隶属函数。在本文中,我们提出了两种方式分配了直觉模糊集的成员资格和非隶属函数:a) - 通过询问专家; b) - 来自相对频率分布(直方图)。为了证明第二种(自动)方法,我们在直觉模糊集理论和大规模分配理论之间显示了一些相似之处 - 一种众所周知的工具,用于处理概率和模糊不确定性。我们还记得会员职能的语义 - 在可能理论中具有其根源的解释。最后,我们提出了分配描述直觉模糊集的功能的自动算法。

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