Journal
NEURAL COMPUTING & APPLICATIONS
Volume 20, Issue 4, Pages 461-472Publisher
SPRINGER LONDON LTD
DOI: 10.1007/s00521-011-0548-z
Keywords
BL-algebra; Filter; n-Fold filter; Boolean algebra; MV-algebra; Godel algebra
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Funding
- office of vice chancellor for research of Islamic Azad University Bandar abbas Branch
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In this paper, we introduced the notion of n-fold obstinate filter in BL-algebras and we stated and proved some theorems, which determine the relationship between this notion and other types of n-fold filters in a BL-algebra. We proved that if F is a 1-fold obstinate filter, then A/F is a Boolean algebra. Several characterizations of n-fold fantastic filters are given, and we show that A is a n-fold fantastic BL-algebra if A is a MV-algebra (n >= 1) and A is a 1-fold positive implicative BL-algebra if A is a Boolean algebra. Finally, we construct some algorithms for studying the structure of the finite BL-algebras and n-fold filters in finite BL-algebras.
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