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Neural Computing and Applications

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01-08-2012 | Original Article

Characterizations of hemirings by \((\overline{\varvec{\in}},\overline{\varvec{\in}} \vee \overline{\varvec{q}})\)-fuzzy ideals

Authors: Muhammad Shabir, Yasir Nawaz, Tahir Mahmood

Published in: Neural Computing and Applications | Special Issue 1/2012

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Abstract

In this paper, we characterize different classes of hemirings by the properties of their \((\overline{\in}, \overline{\in} \vee \overline{q})\)-fuzzy ideals, \((\overline{\in}, \overline{\in} \vee \overline{q})\)-fuzzy quasi-ideals and \((\overline{\in}, \overline{\in} \vee \overline{q}) \)-fuzzy bi-ideals.

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Aho AW, Ullman JD (1979) Introduction to automata theory, languages and computation. Addison Wesley, Reading

Ahsan J (1998) Semirings characterized by their fuzzy ideals. J Fuzzy Math 6:181–192MathSciNetMATH

Ahsan J, Saifullah K, Khan MF (1993) Fuzzy semirings. Fuzzy Sets Syst 60:309–320MathSciNetMATHCrossRef

Bhakat SK (1999) \(\left( \in \vee q\right) \)-level subset. Fuzzy Sets Syst 103:529–533MathSciNetMATHCrossRef

Bhakat SK (2000) \(\left( \in ,\in \vee q\right) \)-fuzzy normal, quasinormal and maximal subgroups. Fuzzy Sets Syst 112:299–312MathSciNetMATHCrossRef

Bhakat SK, Das P (1992) On the definition of a fuzzy subgroup. Fuzzy Sets Syst 51:235–241MathSciNetMATHCrossRef

Bhakat SK, Das P (1996) \(\left( \in ,\in \vee q\right) \)-fuzzy subgroups. Fuzzy Sets Syst 80:359–368MathSciNetMATHCrossRef

Bhakat SK, Das P (1996) Fuzzy subrings and ideals redefined. Fuzzy Sets Syst 81:383–393MathSciNetMATHCrossRef

Davvaz B (2006) \(\left( \in ,\in \vee q\right) \)-fuzzy subnearrings and ideals. Soft Comput 10:206–211MATHCrossRef

10.

Dudek WA, Shabir M, Irfan Ali M (2009) (α , β)-Fuzzy ideals of hemirings. Comput Math Appl 58:310–321MathSciNetMATHCrossRef

11.

Ghosh S (1998) Fuzzy k-ideals of semirings. Fuzzy Sets Syst 95:103–108MATHCrossRef

12.

Glazek K (2002) A guide to litrature on semirings and their applications in mathematics and information sciences: with complete bibliography. Kluwer, The Netherlands

13.

Golan JS (1999) Semirings and their applications. Kluwer, DordrechtMATH

14.

Hebisch U, Weinert HJ (1998) Semirings: algebraic theory and applications in the computer science. World Scientific, SingaporeMATH

15.

Henriksen M (1958) Ideals in semirings with commutative addition. Am Math Soc Notices 6:321

16.

Iizuka K (1959) On Jacobson radical of a semiring. Tohoku Math J 11:409–421MathSciNetMATHCrossRef

17.

Jun YB, Özürk MA, Song SZ (2004) On fuzzy h-ideals in hemirings. Inform Sci 162:211–226MathSciNetMATHCrossRef

18.

Jun YB, Song SZ (2006) Generalized fuzzy interior ideals in semigroups. Inform Sci 176:3079–3093MathSciNetMATHCrossRef

19.

La Torre DR (1965) On h-ideals and k-ideals in hemirings. Publ Math Debrecen 12:219–226MathSciNetMATH

20.

Ma X, Zhan J (2007) On fuzzy h-ideals of hemirings. J Syst Sci Complex 20:470–478MathSciNetCrossRef

21.

Ma X, Zhan J (2009) Generalized fuzzy h-bi-ideals and h-quasi-ideals of hemirings. Inform Sci 179:1249–1268MathSciNetMATHCrossRef

22.

Mordeson JN, Malik DS (2002) Fuzzy automata and languages, theory and applications, computational mathematics series. Chapman and Hall/CRC, Boca RatonCrossRef

23.

Murali V (2004) Fuzzy points of equivalent fuzzy subsets. Inform Sci 158:277–288MathSciNetMATHCrossRef

24.

Pu PM, Liu YM (1980) Fuzzy topology I, neighborhood structure of a fuzzy point and Moore-Smith convergence. J Math Anal Appl 76:571–599MathSciNetMATHCrossRef

25.

Shabir M, Mahmood T (2010) Hemirings characterized by the properties of their fuzzy ideals with thresholds. Quasigroups Relat Syst 18:195–212MathSciNetMATH

26.

Vandiver HS (1934) Note on a simple type of algebra in which cancellation law of addition does not hold. Bull Am Math Soc 40:914–920MathSciNetCrossRef

27.

Yin YQ, Li H (2008) The charatecrizations of h-hemiregular hemirings and h-intra-hemiregular hemirings. Inform Sci 178:3451–3464MathSciNetMATHCrossRef

28.

Zadeh LA (1965) Fuzzy sets. Inf Control 8:338–353MathSciNetMATHCrossRef

29.

Zhan J, Dudek WA (2007) Fuzzy h-ideals of hemirings. Inform Sci 177:876–886MathSciNetMATHCrossRef

Title: Characterizations of hemirings by -fuzzy ideals
Authors: Muhammad Shabir
Yasir Nawaz
Tahir Mahmood
Publication date: 01-08-2012
Publisher: Springer-Verlag
Published in: Neural Computing and Applications / Issue Special Issue 1/2012
Print ISSN: 0941-0643
Electronic ISSN: 1433-3058
DOI: https://doi.org/10.1007/s00521-011-0693-4

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