Abstract
We study the notion of n-folds H-ideals in BCI-algebras as a natural generalization of H-ideals in BCI-algebras. Thanks to the concept of fuzzy point, we give some properties of n-folds and fuzzy n-folds H-ideals. Finally, we establish some algorithms for study of foldness theory of H-ideals in BCI-algebras.
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Huang Y, Chen Z (1999) On ideals in BCK-algebra. Math Jpn 50: 211–226
Iseki K (1980) On BCI-algebra. Math Semin notes 8:125–130
Jun YB (2002) Fuzzy sub-implicative ideals in BCI-algebras. Bull Korean Math Soc 39:185–198
Jun YB, Meng J (1994) Fuzzy P-ideals in BCI-algebra. Math Jpn 2: 271–282
Jun YB, Song SZ, Lele C (2002) Foldness of quasi-associative ideals in BCI-algebras. Sci Math Jpn 6:227–231
Khalid HM, Ahmad B (1999) On fuzzy H-ideals in BCI-algebras. Fuzzy Sets Syst 101:153–158
Lele C, Moutari S (2006) Foldness of commutative ideals in BCK-algebras. Discuss Math Gen Agebra Appl 26:111–135
Lele C, Moutari S (2007a) On some computational algorithms for n-folds ideals in BCK-algebras. J Appl Math Comput 1–2:369–383
Lele C, Moutari S (2007b) On n-fold quasi-associative Ideals in BCI-algebras. SAMSA J Pure Appl Math 2(1):1–12
Lele C, Wu C, Weke P, Mamadou T, Edward G (2001) Njock, fuzzy ideals and weak ideals in BCK-algebras. Sci Math Jpn 4:599–612
Liu YL, Meng J (2000) Sub-implicative ideals and sub-commutative ideals in BCI-algebras. Soochow J Math 26:441–453
Liu YL, Meng J (2001) Fuzzy ideals in BCI-algebras. Fuzzy Sets Syst 123:227–237
Liu YL, Meng J, Zhang XH, Yue ZC (2000) q-ideals and a-ideals in BCI-algebras. Southeast Asian Bull Math 24:243–253
Liu YL, Liu SY, Xu Y (2007) Pseudo-BCK algebras and PD-Posets. Soft Comput 11(1):91–1001
Meng J, Gou X (2005) On fuzzy ideals in BCK/BCI-algebras. Fuzzy Sets Syst 146:509–525
Xi OG (1991) Fuzzy BCK-algebras. Math Jpn 36:935–942
Zadeh LA (1965) Fuzzy sets. Inform Control 8:338–353
Zhang X, Hao J (1994) On P-ideals in BCI-algebra. Punjab Univ J Math 121–128
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Lele, C., Moutari, S. Computational methods for study of foldness of H-ideals in BCI-algebras. Soft Comput 12, 403–407 (2008). https://doi.org/10.1007/s00500-007-0176-9
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DOI: https://doi.org/10.1007/s00500-007-0176-9