nach oben

Neural Computing and Applications

Erschienen in:

01.11.2011 | Original Article

Fuzzy ideals of semirings

verfasst von: H. Hedayati

Erschienen in: Neural Computing and Applications | Ausgabe 8/2011

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config

KI-gestützte Suche

Aus

Abstract

Using the idea of quasi-coincidence of a fuzzy point with a fuzzy set, the concept of an (α, β)-fuzzy ideal, which is a generalization of a fuzzy ideal, in a semiring is introduced and related properties are investigated. At the following, the concept of fuzzy ideals with thresholds is introduced, and the relationship between logical implication operators and fuzzy ideals with thresholds are analyzed.

Vorheriger Artikel Multidimensional scaling with discrimination coefficients for supervised visualization of high-dimensional data

Nächster Artikel Market segmentation of organ donors in Egypt: a bio-inspired computational intelligence approach

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

über 67.000 Bücher
über 340 Zeitschriften

aus folgenden Fachgebieten:

Bauwesen + Immobilien
Business IT + Informatik
Finance + Banking
Management + Führung
Marketing + Vertrieb
Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Jetzt informieren

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

über 67.000 Bücher
über 390 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Maschinenbau + Werkstoffe

Jetzt Wissensvorsprung sichern!

Jetzt informieren

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

über 102.000 Bücher
über 537 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Finance + Banking
Management + Führung
Marketing + Vertrieb
Maschinenbau + Werkstoffe
Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Jetzt informieren

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

Ameri R, Hedayati H (2007) On k-hyperideals of semihyperrings. J Discrete Math Sci Cryptogr 10(1):41–54MathSciNet

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

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

Bhakat SK, Das P (1996) \((\in,\in \vee q)\)- fuzzy subgroup. Fuzzy Sets Syst 80:359–368MathSciNetCrossRef

Davvaz B (2001) Fuzzy ideals of near-rings with interval valued membership functions. J Sci I R Iran 12(2):171–175MathSciNet

Davvaz B, Corsini P (2007) Redefined fuzzy H _v-submodules and many valued implication. Inf Sci 177:865–875MathSciNetCrossRef

Davvaz B, Corsini P (2006) Generalized fuzzy sub-hyperquasigroups of hyperquasigroups. Soft Comput 10(11):1109–1114CrossRef

Davvaz B, Corsini P (2006) Generalized fuzzy polygroups. Iran J Fuzzy Syst 3(1):59–75MathSciNet

10.

Davvaz B, Corsini P (2006) Generalized fuzzy hyperideals of hypernear-rings and many valued implications. J Intell Fuzzy Syst 17(3):241–251

11.

Dheena P, Coumaressane S (2006) Fuzzy 2-(0- or 1-) prime ideals in semirings. Bull Korean Math Soc 43(3):559–573MathSciNetCrossRef

12.

Glazek K (2002) Guide to the literature on semirings and their applications in mathematics and information sciences: with complete bibliography. Kluwer, Dodrecht

13.

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

14.

Hedayati H (2009) Interval valued intuitionistic (S, T)-fuzzy substructures in semirings. Int Math Forum no. 6, pp 293–301

15.

Hedayati H (2009) Generalized fuzzy k-ideals of semirings with interval-valued membership functions. Bull Malays Math Sci Soc 2(32)3:409–424

16.

Hedayati H (2010) Equivalence relations induced by interval valued (S, T)-fuzzy h-ideals (k-ideals) of semirings. World Appl Sci J 9(1):1–13

17.

Hedayati H, Ameri R (2005) Fuzzy k-hyperideals. Int J Pu Appl Math Sci 2(2):247–256MathSciNet

18.

Hedayati H, Ameri R (2007) On fuzzy closed, invertible and reflexive subsets of hypergroups. Italian J Pure Appl Math 22:95–114MathSciNet

19.

Jun YB (2004) On (α, β)-fuzzy ideals of BCK/BCI-algebras. Sci Math Jpn 60:613–617MathSciNet

20.

Jun YB (2005) On (α, β)-fuzzy subalgebras of BCK/BCI-algebras. Bull Korean Math Soc 42:703–711MathSciNetCrossRef

21.

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

22.

Jun YB, Xu Y, Ma J (2007) Redefined fuzzy implicative filters. Inf Sci 177(6):1422–1429MathSciNetCrossRef

23.

Jun YB, Xu Y, Qin KY (2006) Fuzzy filters redefined in lattice implication algebras. J Fuzzy Math 14(2):345–353MathSciNet

24.

Kazanci O, Yamak S (2008) Generalized fuzzy bi-ideals of semigroups. Soft Comput 12:1119–1124CrossRef

25.

Mashinchi M, Zahedi MM (1990) On fuzzy ideals of a ring. J Sci I R Iran 1(3):208–210

26.

Mukhrejee TK, Sen MK (1987) On fuzzy ideals in rings I. Fuzzy Sets Syst 21:99–104CrossRef

27.

Mukhrejee TK, Sen MK (1989) Prime fuzzy ideals in rings. Fuzzy Sets Syst 32(3):337–341CrossRef

28.

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

29.

Saeid AB, Jun YB (2008) Redefined fuzzy subalgebras of BCK/BCI-algebras. Iran J Fuzzy Syst 5(2):63–70MathSciNet

30.

Simon I (1990) The nondeterministic complexity of finite automaton. In: Notes Hermes Paris, pp 384–400

31.

Wang GJ, Song QY, Song YJ (2004) Metric structures on boolean algebras and an application to propositional logic. Acta Mathematica Sinica Chinese Series 47:317–326MathSciNet

32.

Wechler W (1978) The concept of fuzziness in automata and language theory. Akademie-Verlag, Berlin

33.

Yuan X, Zhang C, Ren Y (2003) Generalized fuzzy groups and many-valued implications. Fuzzy Sets Syst 138:205–211MathSciNetCrossRef

34.

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

35.

Zadeh LA (1975) The concept of a linguistic variable and its application to approximate reason. Inf Control 18:199–249MathSciNet

Titel: Fuzzy ideals of semirings
verfasst von: H. Hedayati
Publikationsdatum: 01.11.2011
Verlag: Springer-Verlag
Erschienen in: Neural Computing and Applications / Ausgabe 8/2011
Print ISSN: 0941-0643
Elektronische ISSN: 1433-3058
DOI: https://doi.org/10.1007/s00521-011-0569-7

Springer Professional

Abstract

Bitte loggen Sie sich ein, um Zugang zu Ihrer Lizenz zu erhalten.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft"

Springer Professional "Technik"

Springer Professional "Wirtschaft+Technik"

Weitere Artikel der Ausgabe 8/2011

Multidimensional scaling with discrimination coefficients for supervised visualization of high-dimensional data

Internal model control based on a novel least square support vector machines for MIMO nonlinear discrete systems

Editorial to special issue: Biomedical engineering: information processing, modeling, and control

Soft set theory applied to p-ideals of BCI-algebras related to fuzzy points

Non-fragile observer-based H ∞ control for neutral stochastic hybrid systems with time-varying delay

Extraction of microsaccade-related signal from single-trial local field potential by ICA with reference