On the complexity of Turing machine accepting fuzzy language

Yingjun Pan, Tie Zou
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Abstract

Based on the definition of single-tape Fuzzy Non-deterministic Turing Machine (FNTM), this article discussed in details the process of FNTM accepting language and researched the computational complexity of fuzzy Turing Machine (TM) accepting ?-cut language by using the Deterministic Turing Machine (DTM) to simulate its process, thus drawing the conclusion that the judgment of FNTM accepting ?-cut language is a matter of the NP-completeness, and that it is not essentially helpful to adjust the membership degree in facing the time complexity problem when simulating the process of FNTM accepting the language.
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论图灵机接受模糊语言的复杂性
本文在对单带模糊非确定性图灵机(FNTM)定义的基础上,详细讨论了FNTM接受语言的过程,并利用确定性图灵机(DTM)模拟模糊图灵机接受切语言的过程,研究了模糊图灵机接受切语言的计算复杂度,从而得出FNTM接受切语言的判断是np完备性问题。在模拟FNTM接受语言的过程时,面对时间复杂度问题,调整隶属度并没有本质上的帮助。
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