On the complexity of Turing machine accepting fuzzy language

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.