Zobrazeno 1 - 10
of 21
pro vyhledávání: '"Dana Piciu"'
Publikováno v:
Axioms, Vol 13, Iss 4, p 267 (2024)
Many papers have been devoted to applying fuzzy sets to algebraic structures. In this paper, based on ideals, we investigate residuated lattices from fuzzy set theory, lattice theory, and coding theory points of view, and some applications of fuzzy s
Externí odkaz:
https://doaj.org/article/5efed2dbd3da4245b77fa512de9ee72c
Autor:
Cristina Flaut, Dana Piciu
Publikováno v:
Mathematics, Vol 10, Iss 24, p 4739 (2022)
BL-algebras are algebraic structures corresponding to Hajek’s basic fuzzy logic. The aim of this paper is to analyze the structure of BL-algebras using commutative rings. Due to computational considerations, we are interested in the finite case. We
Externí odkaz:
https://doaj.org/article/f754ede7f9fd4aea8b0fac30822334ef
Autor:
Dana Piciu, Diana Savin
Publikováno v:
Mathematics, Vol 10, Iss 11, p 1831 (2022)
In this paper, we characterize residuated lattices for which the topological space of prime ideals is a Noetherian space. The notion of i-Noetherian residuated lattice is introduced and related properties are investigated. We proved that a residuated
Externí odkaz:
https://doaj.org/article/18fd69a769a44e9cb7a3199e62e88b21
Publikováno v:
Analele Universitatii "Ovidius" Constanta - Seria Matematica. 29:183-200
In this paper, in the spirit of [4], we study a new type of filters in residuated lattices : Gődel filters. So, we characterize the filters for which the quotient algebra that is constructed via these filters is a Gődel algebra and we establish the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6dc31a841918e88f686db39372ca199c
https://doi.org/10.2478/auom-2021-0012
https://doi.org/10.2478/auom-2021-0012
Publikováno v:
Scopus-Elsevier
"The notion of ideal in residuated lattices is introduced in [Kengne, P. C., Koguep, B. B., Akume, D. and Lele, C., L-fuzzy ideals of residuated lattices, Discuss. Math. Gen. Algebra Appl., 39 (2019), No. 2, 181–201] and [Liu, Y., Qin, Y., Qin, X.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2a284e39bba51a07081939e6ddf29298
https://doi.org/10.37193/cjm.2021.01.06
https://doi.org/10.37193/cjm.2021.01.06
Autor:
Dana Piciu
Publikováno v:
Fuzzy Sets and Systems. 405:47-64
In this paper, the notion of minimal prime ideal is introduced in residuated lattices and related properties are investigated. Also, new equivalent characterizations and properties for prime and maximal ideals are obtained and the relation between th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9172a635b21a793b79d45e862d9dfc3c
https://doi.org/10.1016/j.fss.2020.04.009
https://doi.org/10.1016/j.fss.2020.04.009
Publikováno v:
Analele Universitatii "Ovidius" Constanta - Seria Matematica. 27:211-231
In this paper we introduce a new class of residuated lattice: residuated lattice with (C∧&→) property and we prove that (C∧&→) ⇔ (C →) + (C∧).Also, we introduce and characterize C →, C∨, C∧ and C∧ & → filters in residuated lat
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7de3c2c66fbd9b063fc699213de2ec6f
https://doi.org/10.2478/auom-2019-0011
https://doi.org/10.2478/auom-2019-0011
Autor:
Dana Piciu, Dumitru Buşneag
Publikováno v:
Soft Computing. 19:3031-3042
In this paper, for a bounded Hilbert algebra $$A$$A we construct the Belluce-lattice associated with $$A$$A and define the notion of reticulation for $$A$$A.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0eb2f93ac7238914519f2a4c8b7518ec
https://doi.org/10.1007/s00500-015-1714-5
https://doi.org/10.1007/s00500-015-1714-5
Autor:
Dana Piciu, Dumitru Buşneag
Publikováno v:
Fuzzy Sets and Systems. 260:121-130
In the mathematical literature, many types of filters in residuated lattices or in special classes of residuated lattices (BL-algebras, MTL-algebras, etc.) have been studied. Consequently many names have been proposed for these types of filters: Bool
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4882ef7ff694f9a3d2408239380a7796
https://doi.org/10.1016/j.fss.2014.07.022
https://doi.org/10.1016/j.fss.2014.07.022
Autor:
Dumitru Buşneag, Dana Piciu
Publikováno v:
Soft Computing. 18:825-837
In this paper, inspired by some types of $$BL$$ B L -algebra filters (deductive systems) introduced in Haveshki et al. (Soft Comput 10:657---664, 2006), Kondo and Dudek (Soft Comput 12:419---423, 2008) and Turunen (Arch Math Log 40:467---473, 2001),
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::251cf5eb1415ad53f57142678596ecc4
https://doi.org/10.1007/s00500-013-1184-6
https://doi.org/10.1007/s00500-013-1184-6