Sugeno Integral is based on Fuzzy Integral Inference and widely used in applications such as decision making and computational intelligence. When concerned inputs are intervals, directly using Sugeno Integral to respectively aggregate the lower bounds and upper bounds of those intervals has limitations and does not embody fuzzy integral inference. This study analyzes the fuzzy integral inference in interval environment, defines some more suitable orderings on the set of all intervals in [0, 1], i.e., the congruent λ-ordering, and then proposes the Interval Sugeno Integral with preference. The novel aggregation technique proposed in this study proves to better embody fuzzy integral inference when performing Sugeno Integral.

中文翻译：

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间隔 Sugeno 积分与偏好


Sugeno Integral 基于模糊积分推理，广泛应用于决策和计算智能等应用。当关注的输入是区间时，直接使用关野积分分别聚合这些区间的下界和上限有局限性，并且不体现模糊积分推理。本研究分析了区间环境下的模糊积分推理，在[0, 1]内所有区间的集合上定义了一些更合适的排序，即全等λ排序，进而提出了偏好区间Sugeno积分。事实证明，本研究中提出的新颖聚合技术在执行 Sugeno 积分时可以更好地体现模糊积分推理。