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首页> 外文期刊>Engineering Applications of Artificial Intelligence >Thick gradual intervals: An alternative interpretation of type-2 fuzzy intervals and its potential use in type-2 fuzzy computations
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Thick gradual intervals: An alternative interpretation of type-2 fuzzy intervals and its potential use in type-2 fuzzy computations

机译:较厚的渐进区间:2型模糊区间的另一种解释及其在2型模糊计算中的潜在用途

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摘要

This paper proposes a new interpretation of type-2 fuzzy intervals (T2FIs) through the joint use of gradual intervals (GIs) and thick intervals (TIs). In this framework, a T2FI is viewed as a thick gradual interval (TGI). This new representation gives an original concept for the manipulation of T2FIs according to the thick gradual representation. Furthermore, this vision allows an extension of the interval arithmetic arsenal and reasoning to the framework of T2FIs. The proposed approach can be regarded as more computationally viable, which will make T2FIs computations more useful in applied scenarios. As an illustration, the proposed concept is used to implement the elementary arithmetic operations on T2FIs. The potentialities of the TGI approach have been validated in the frameworks of T2FI aggregation operators and T2FI regression.
机译:本文通过逐步使用间隔(GI)和粗间隔(TI),提出了对类型2模糊间隔(T2FI)的新解释。在此框架中,T2FI被视为较厚的渐进间隔(TGI)。这种新的表示方式根据粗略的渐进表示方式给出了T2FI操纵的原始概念。此外,该愿景允许将间隔算术库和推理扩展到T2FI的框架。所提出的方法可以认为在计算上更可行,这将使T2FIs计算在应用场景中更加有用。作为说明,提出的概念用于在T2FI上实现基本算术运算。 TGI方法的潜力已在T2FI聚合算子和T2FI回归框架中得到了验证。

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