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Fuzzy n-fold obstinate ideals in mv -algebras | ||
| Journal of Hyperstructures | ||
| دوره 8، شماره 1، شهریور 2019، صفحه 16-32 اصل مقاله (371.45 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22098/jhs.2019.2610 | ||
| نویسنده | ||
| Fereshteh Forouzesh* | ||
| Faculty of Mathematics and computing, Higher Education Complex of Bam, Bam,Iran. | ||
| چکیده | ||
| Abstract. In this paper, we introduce the notion of n-fold Boolean ideals of an MV -algebra and consider the quotient algebras induced by n-fold Boolean ideals. Also we prove that I is a n-fold Boolean ideal of an MV -algebra if and only if A/I is a n+1-bounded MV -algebra if and only if A/I is a subdirect product of algebras Lk,with 2 ≤ k ≤ n.Finally, we introduce the notion of fuzzy n-fold obstinate ideals in MV -algebras. We give some characterizations of fuzzy n-fold obstinate ideals. | ||
| کلیدواژه‌ها | ||
| n-fold Boolean ideal؛ n-bounded MV -algebra؛ fuzzy n-fold obstinate | ||
| مراجع | ||
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[1] L. P. Belluce, A. Di Nola, A. Lettieri, Local MV -algebras, Rend. Circ. Mat. Palermo. (2) 42 (1993), 347-361. [2] C. C. Chang,Algebraic analysis of many valued logic, Trans. Amer. Math. Soc., 88 (1958), 467-490. [3] C. C. Chang, A new proof of the completeness of the Lukasiewicz axioms, Trans. Amer. Math. Soco, 93 (1959), 74-80. [4] R. Cignoli, I. M. L. D’Ottaviano, D. Mundici, Algebraic Foundations of Many-Valued Reasoning, Kluwer Academic, Dordrecht, (2000). [5] C. S. Hoo, MV -algebras, ideals and semisimplicity, Math. Japon., 34, no. 4 (1989), 563-583. [6] F. Forouzesh, E. Eslami, A. Borumand Saeid, Radical of A-ideals in MV - modules, Annals of the Alexandru Ioan Cuza University-Math, 1 (2016), 33-57. [7] F. Forouzesh, E. Eslami, Fuzzy n-fold Boolean ideals in MV -algebras, The Jour-nal of Fuzzy Mathematics, (to appear). [8] F. Forouzesh, n-fold obstinate ideals in MV -algebras, New Mathematics and Natural Computation, Vol. 12, No. 3 (2016), 265-275. [9] F. Forouzesh, Fuzzy obstinate ideals in MV -algebras, Journal of algebraic system,4 (2017), 97-101. [10] C. S. Hoo, Fuzzy ideals of BCI and MV-algebras, Fuzzy Sets and Systems 62 (1994), 111–114. [11] C. S. Hoo, Fuzzy implicative and Boolean ideals of MV-algebras, Fuzzy Sets and Systems, 66 (1994) 315–327. [12] P. Hajek, Metamathematics of fuzzy logic, Kluwer Academic Publishers, Dor-drecht 1998. [13] M. Haveshki, E. Eslami,n-fold filters in BL-algebras, Math. Log. Quart. 54 (2008), 176-186. [14] A. Iorgulescu, Algebras of logic as BCK algebras, Academy of economic studies Bucharest, Romania, (2008). [15] M. Kondo, W. A. Dudek, On the transfer principle in fuzzy theory, Mathware Soft Comput., 12 (2005), 4–55. [16] S. Motamed, A.Borumand,n-fold obstinate filters in BL-algebras, Neural Com-puting and Applications,20(2011),461-472. [17] D. Mundici, Interpretation of AF C∗-algebras in Lukasiewicz sentential calculus, J. Funct. Anal. 65 (1986), 15-63. [18] D. Piciu, Algebras of fuzzy logic, Ed. Universitaria Craiova (2007). [19] O. Xi, Fuzzy BCK-algebras, Math. Japon. 36 (1991) 935-942. [20] A. Zadeh, Fuzzy set, Information and Control, 8 (1965), 338–353. | ||
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