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Published in: Soft Computing 14/2019

17-08-2018 | Foundations

EQ-algebras based on fuzzy hyper EQ-filters

Authors: M. Hamidi, Arsham Borumand Saeid

Published in: Soft Computing | Issue 14/2019

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Abstract

This paper introduces and applies the notion of fuzzy hyper EQ-subalgebras as a generalization of the notation of fuzzy EQ-subalgebras and constructs extendable fuzzy EQ-subalgebras via these concepts. Moreover, by using the fuzzy hyper EQ-filters, it defines a congruence relation on hyper EQ-algebras that under some conditions is strongly regular and the quotient of any hyper EQ-algebra via this relation is an EQ-algebra.

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Literature
go back to reference Bashford JD, Jarvis PD (2000) The genetic code as a periodic table: algebraic aspects. BioSystems 57:147–161CrossRef Bashford JD, Jarvis PD (2000) The genetic code as a periodic table: algebraic aspects. BioSystems 57:147–161CrossRef
go back to reference Chvalina J, Mayerova SH, Nezhad AD (2013) General actions of hyperstructures and some applications. An St Univ Ovidius Constanta 21(1):59–82MathSciNet Chvalina J, Mayerova SH, Nezhad AD (2013) General actions of hyperstructures and some applications. An St Univ Ovidius Constanta 21(1):59–82MathSciNet
go back to reference Corsini P, Leoreanu V (2002) Applications of hyperstructure theory. Kluwer, DordrechtMATH Corsini P, Leoreanu V (2002) Applications of hyperstructure theory. Kluwer, DordrechtMATH
go back to reference Frappat L, Sciarrino A, Sorba P (2001) Crystalizing the genetic code. J Biol Phys 27:1–34CrossRefMATH Frappat L, Sciarrino A, Sorba P (2001) Crystalizing the genetic code. J Biol Phys 27:1–34CrossRefMATH
go back to reference Jun YB, Song SZ (2015) Hesitant fuzzy prefilters and filters of EQ-algebras. Appl Math Sci 9(11):515–532 Jun YB, Song SZ (2015) Hesitant fuzzy prefilters and filters of EQ-algebras. Appl Math Sci 9(11):515–532
go back to reference Novák V (2006) EQ-algebras: primary concepts and properties. In: Proceedings of the Czech Japan seminar, ninth meeting. Kitakyushu & Nagasaki, August 18–22, 2006, Graduate School of Information, Waseda University, pp 219–223 Novák V (2006) EQ-algebras: primary concepts and properties. In: Proceedings of the Czech Japan seminar, ninth meeting. Kitakyushu & Nagasaki, August 18–22, 2006, Graduate School of Information, Waseda University, pp 219–223
go back to reference Novák V, Dyba M (2009) Non-commutative EQ-logics and their extensions. Fuzzy Sets Syst 160:2956–2978CrossRef Novák V, Dyba M (2009) Non-commutative EQ-logics and their extensions. Fuzzy Sets Syst 160:2956–2978CrossRef
go back to reference Saanchez R, Grau R, Morgado E (2006) A novel Lie algebra of the genetic code over the Galois field of four DNA bases. Math Biosci 202:156–174MathSciNetCrossRefMATH Saanchez R, Grau R, Morgado E (2006) A novel Lie algebra of the genetic code over the Galois field of four DNA bases. Math Biosci 202:156–174MathSciNetCrossRefMATH
go back to reference Xin XL, He PF, Yang YW (2014) Characterizations of some fuzzy prefilters (filters) in EQ-algebras. Sci World J 2014:829527 Xin XL, He PF, Yang YW (2014) Characterizations of some fuzzy prefilters (filters) in EQ-algebras. Sci World J 2014:829527
Metadata
Title
EQ-algebras based on fuzzy hyper EQ-filters
Authors
M. Hamidi
Arsham Borumand Saeid
Publication date
17-08-2018
Publisher
Springer Berlin Heidelberg
Published in
Soft Computing / Issue 14/2019
Print ISSN: 1432-7643
Electronic ISSN: 1433-7479
DOI
https://doi.org/10.1007/s00500-018-3456-7

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