\(n\)-Fold Filters of EQ-Algebras

Ganji Saffar, Batoul; Kologani, Mona Aly; Borzooei, Rajab Ali

dc.contributor.author	Ganji Saffar, Batoul
dc.contributor.author	Kologani, Mona Aly
dc.contributor.author	Borzooei, Rajab Ali
dc.date.accessioned	2023-02-10T07:50:36Z
dc.date.available	2023-02-10T07:50:36Z
dc.date.issued	2022-10-14
dc.identifier.issn	0138-0680
dc.identifier.uri	http://hdl.handle.net/11089/45868
dc.description.abstract	In this paper, we apply the notion of \(n\)-fold filters to the \(EQ\)-algebras and introduce the concepts of \(n\)-fold pseudo implicative, \(n\)-fold implicative, \(n\)-fold obstinate, \(n\)-fold fantastic prefilters and filters on an \(EQ\)-algebra \(\mathcal{E}\). Then we investigate some properties and relations among them. We prove that the quotient algebra \(\mathcal{E}/F\) modulo an 1-fold pseudo implicative filter of an \(EQ\)-algebra \(\mathcal{E}\) is a good \(EQ\)-algebra and the quotient algebra \(\mathcal{E}/F\) modulo an 1-fold fantastic filter of a good \(EQ\)-algebra \(\mathcal{E}\) is an \(IEQ\)-algebra.	en
dc.language.iso	en
dc.publisher	Wydawnictwo Uniwersytetu Łódzkiego	pl
dc.relation.ispartofseries	Bulletin of the Section of Logic;4	en
dc.rights.uri	https://creativecommons.org/licenses/by-nc-nd/4.0
dc.subject	\(EQ\)-algebra	en
dc.subject	\(n\)-fold pseudo implicative (implicative, obstinate, fantastic) prefilter	en
dc.subject	\(n\)-fold pseudo implicative (implicative, fantastic) EQ-algebra	en
dc.title	\(n\)-Fold Filters of EQ-Algebras	en
dc.type	Other
dc.page.number	455-486
dc.contributor.authorAffiliation	Ganji Saffar, Batoul - Alzahra University, Department of Mathematics, Faculty of Mathematical Science, Tehran, Iran	en
dc.contributor.authorAffiliation	Kologani, Mona Aly - Hatef Higher Education Institute, Zahedan, Iran	en
dc.contributor.authorAffiliation	Borzooei, Rajab Ali - Shahid Beheshti University, Department of Mathematics, Faculty of Mathematical Science, Tehran, Iran	en
dc.identifier.eissn	2449-836X
dc.references	N. Akhlaghinia, M. Aaly Kologani, R. A. Borzooei, X. L. Xin, On the Category of EQ-algebras, Bulletin of the Section of Logic, vol. 50(4) (2021), pp. 397–419, DOI: https://doi.org/10.18778/0138-0680.2021.01	en
dc.references	R. A. Borzooei, B. Ganji Saffar, States on EQ-Algebras, Journal of Intelligent and Fuzzy Systems, vol. 29 (2015), pp. 209–221, DOI: https://doi.org/10.3233/IFS-151588	en
dc.references	M. El-Zekey, Representable good EQ-algebras, Soft Computing, vol. 14 (2010), pp. 1011–1023, DOI: https://doi.org/10.1007/s00500-009-0491-4.	en
dc.references	M. El-Zekey, V. Novák, R. Mesiar, On good EQ-algebras, Fuzzy Sets and Systems, vol. 178(1) (2011), pp. 1–23, DOI: https://doi.org/10.1016/j.fss.2011.05.011	en
dc.references	P. Hájek, Fuzzy logics with noncommutative conjuctions, Journal of Logic and Computation, vol. 13(4) (2003), pp. 469–479, DOI: https://doi.org/10.1093/logcom/13.4.469	en
dc.references	L. Z. Liu, X. Y. Zhang, Implicative and positive implicative prefilters of EQ-algebras, Journal of Intelligent & Fuzzy Systems, vol. 26(5) (2014), pp. 2087–2097, DOI: https://doi.org/10.3233/IFS-130884	en
dc.references	Z. M. Ma, B. Q. Hu, Fuzzy EQ-filters of EQ-algebras, Computer Engineering and Information Science, [in:] Quantitative Logic and Soft Computing, World Scientific (2012), pp. 528–535, DOI: https://doi.org/10.1142/9789814401531_0071	en
dc.references	N. Mohtashamniya, L. Torkzadeh, A prefilter generated by a set in EQ-algebras, [in:] 46th Annual Iranian Mathematics Conference (2015), pp. 1–4, URL: https://www.sid.ir/En/Seminar/ViewPaper.aspx?ID=18390	en
dc.references	V. Novák, EQ-algebra: Primary concepts and properties, [in:] International Joint, Czech Republic-Japan & Taiwan-Japan Symposium, Kitakyushu, Japan, August 2006 (2006), pp. 219–223, URL: https://irafm.osu.cz/research_report/101rep101.pdf	en
dc.references	V. Novák, B. D. Baets, EQ-algebras, Fuzzy Sets and Systems, vol. 160(20) (2009), pp. 2956–2978, DOI: https://doi.org/10.1016/j.fss.2009.04.010	en
dc.references	W. Wang, X. L. Xin, J. T. Wang, EQ-algebras with internal states, Soft Computing, vol. 22(20) (2018), pp. 2825–2841, DOI: https://doi.org/10.1007/s00500-017-2754-9	en
dc.references	X. L. Xin, P. F. He, Y. W. Yang, Characterizations of some fuzzy prefilters (filters) in EQ-algebras, The Scientific World Journal, vol. 2014 (2014), p. 829527, DOI: https://doi.org/10.1155/2014/829527	en
dc.references	X. L. Xin, M. Khan, Y. B. Jun, Generalized states on EQ-algebras, Iranian Journal of Fuzzy Systems, vol. 16(1) (2019), pp. 159–172, URL: https://www.sid.ir/En/Journal/ViewPaper.aspx?ID=697512	en
dc.references	F. Zebardast, R. A. Borzooei, M. Aaly Kologhani, Results on equality algebras, Information Sciences, vol. 381 (2017), pp. 270–282, DOI: https://doi.org/10.1016/j.ins.2016.11.027	en
dc.contributor.authorEmail	Ganji Saffar, Batoul - bganji@alzahra.ac.ir
dc.contributor.authorEmail	Kologani, Mona Aly - mona4011@gmail.com
dc.contributor.authorEmail	Borzooei, Rajab Ali - borzooei@sbu.ac.ir
dc.identifier.doi	10.18778/0138-0680.2022.09
dc.relation.volume	51

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