An interval type-2 fuzzy model of computing with words
An interval type-2 fuzzy model of computing with words
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DOI：
10.1016/j.ins.2014.05.055
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发表时间：
2014-10
期刊：
影响因子：
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通讯作者：
Yuncheng Jiang;Yong Tang
中科院分区：
文献类型：
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作者：
Yuncheng Jiang;Yong Tang
作为一种方法论，文字计算允许在计算和推理过程中使用文字来代替数字或符号，从而在描述现实问题时更符合人类的推理。受 Zadeh 的词计算范式的启发，文献提出了一种 1 类模糊自动机作为词计算的形式模型，它以 1 类模糊符号子集作为输入。然而，1 类模糊表示为近似单词含义提供了有限的平台，因为它无法捕获语言不确定性。在本文中，我们通过将现有的基于类型 1 模糊集的模型推广到区间类型 2 模糊环境，开发了一种形式化的区间类型 2 模糊计算模型。具体来说，我们采用区间二型模糊集论和自动机理论相结合的区间二型模糊自动机（即区间二型模糊有限自动机和区间二型模糊下推自动机）作为文字计算的计算模型。此外，我们开发了从值计算扩展到词计算的扩展原理，并表明词计算可以通过在区间类型2模糊设置中计算值来实现，但需要额外的计算成本。
As a methodology, computing with words allows the use of words, instead of numbers or symbols, in the process of computing and reasoning and thus conforms more to humans’ inference when it is used to describe real-world problems. Motivated by Zadeh’s paradigm of computing with words, the literature has proposed a kind of type-1 fuzzy automata as a formal model of computing with words, which takes type-1 fuzzy subsets of symbols as input. However, type-1 fuzzy representation provides a limited platform for approximating the meaning of words since it is not able to capture linguistic uncertainty. In this paper, we develop a formal interval type-2 fuzzy model of computing with words by generalizing the existing type-1 fuzzy sets-based model to an interval type-2 fuzzy environment. Concretely, we take interval type-2 fuzzy automata (i.e., interval type-2 fuzzy finite automata and interval type-2 fuzzy pushdown automata), which combine interval type-2 fuzzy set theory and automaton theory, as a computational model of computing with words. Furthermore, we develop the extension principles to extend from computing with values to computing with words and show that computing with words can be implemented with computing with values in the interval type-2 fuzzy setting at an extra computational cost.