Algebraic properties on the cuts of lattice-valued regular languages |
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| Authors: | Changjian Liang Yongming Li |
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| Affiliation: | (1) College of Mathematics and Information Science, Shaanxi Normal University, Xi’an, 710062, China;(2) College of Software, Shangqiu Normal University, Shangqiu, 476000, China;(3) College of Computer Science, Shaanxi Normal University, Xi’an, 710062, China |
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| Abstract: | In this paper, the algebraic operations on the cuts of lattice-valued regular languages are studied. Some sufficient conditions
are given to guarantee the family of the cuts of lattice-valued regular languages to be closed under such algebraic operations
as union, intersection, complement, quotient, homomorphism, inverse homomorphism, concatennation, reversal, etc.
This work is supported by National Science Foundation of China (Grant No.10571112), “TRAPOYT” of China and National 973 Foundation
Research Program (Grant No. 2002CB312200). |
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| Keywords: | Fuzzy languages Lattice-valued regular languages Closure properties Level structure |
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