Abstract
The aim of this paper is to introduce the notion of fuzzy prime ideals of pseudo-MV algebras and investigate some of its properties.
Similar content being viewed by others
References
Balbes R, Dwinger P (1974) Distributive lattices. University of Missouri Press, Columbia
Birkhoff G (1967) Lattice theory, 3rd edn, vol 25. Coll Publ, American Math Society
Boicescu V, Filipoiu A, Georgescu G, Rudeanu S (1991) Łukasiewicz-Moisil algebras, Annals of Discrete Math, vol 49. North-Holland, Amsterdam
Chang CC (1958) Algebraic analysis of many valued logics. Trans Am Math Soc 88:467–490
Dvurečenskij A (2001) States on pseudo MV-algebras. Studia Logica 68:301–327
Georgescu G, Iorgulescu A (1999) Pseudo-MV algebras: a non-commutative extension of MV-algebras. The proceedings of the fourth international symposium on economic informatics, Bucharest, Romania, May 1999, pp 961–968
Georgescu G, Iorgulescu A (2001) Pseudo-MV algebras. Multi Val Logic 6:95–135
Hoo CS (1994) Fuzzy ideals of BCI and MV-algebras. Fuzzy Sets Syst 62:111–114
Hoo CS (1994) Fuzzy implicative and Boolean ideals of MV-algebras. Fuzzy Sets Syst 66:315–327
Jun YB, Walendziak A (2006) Fuzzy ideals of pseudo MV-algebras. Inter Rev Fuzzy Math 1:21–31
Rachůnek J (2002) A non-commutative generalization of MV-algebras. Czechoslovak Math J 52:255–273
Rachůnek J (2002) Prime spectra of a non-commutative generalizations of MV-algebras. Algebra Univ 48:151–169
Swamy UM, Viswanadha Raju D (1991) Algebraic fuzzy systems. Fuzzy Sets Syst 41:187–194
Walendziak A (2005) On implicative ideals of pseudo MV-algebras. Sci Math Jpn 62:281–287, e-2005, 363–369
Zadeh LA (1965) Fuzzy sets. Inform Control 8:338–353
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Dymek, G. Fuzzy prime ideals of pseudo-MV algebras. Soft Comput 12, 365–372 (2008). https://doi.org/10.1007/s00500-007-0170-2
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00500-007-0170-2