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Tytuł artykułu

Soju Filters in Hoop Algebras

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The notions of (implicative) soju filters in a hoop algebra are introduced, and related properties are investigated. Relations between a soju sub-hoop, a soju filter and an implicative soju filter are discussed. Conditions for a soju filter to be implicative are displayed, and characterizations of an implicative soju filters are considered. The extension property of an implicative soju filter is established.
Słowa kluczowe
Rocznik
Tom
50
Numer
1
Strony
97-123
Opis fizyczny
Daty
wydano
2021-03-30
Twórcy
  • Shahid Beheshti University, Department of Mathematics, Tehran, Iran
  • University of Sistan and Baluchestan, Department of Mathematics, Zahedan, Iran
  • Hatef Higher Education Institute Iran, Zahedan, Iran
  • Shahid Beheshti University, Department of Mathematics, Tehran, Iran; Gyeongsang National University, Department of Mathematics Education, Jinju 52828, Korea
Bibliografia
  • [1] K. T. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems, vol. 20(1) (1986), pp. 87–96, DOI: https://doi.org/10.1016/S0165-0114(86)80034-3
  • [2] K. T. Atanassov, New operations defined over the intuitionistic fuzzy sets, Fuzzy Sets and Systems, vol. 61(2) (1994), pp. 137–142, DOI: https://doi.org/10.1016/0165-0114(94)90229-1
  • [3] W. J. Blok, I. M. A. Ferreirim, Hoops and their implicational reducts, Logical Computer Sciences, vol. 28 (1993), pp. 219–230.
  • [4] W. J. Blok, I. M. A. Ferreirim, On the structure of hoops, Algebra Universalis, vol. 43 (2000), pp. 233–257, DOI: https://doi.org/10.1007/s000120050156
  • [5] R. A. Borzooei, M. A. Kologani, Local and perfect semihoops, Journal of Intelligent and Fuzzy Systems, vol. 29(1) (2015), pp. 223–234, DOI: https://doi.org/10.3233/IFS-151589
  • [6] R. A. Borzooei, M. A. Kologani, M. S. Kish, Y. B. Jun, Fuzzy positive implicative filters of hoops based on fuzzy points, Mathematics, vol. 7 (2019), p. 566, DOI: https://doi.org/10.3390/math7060566
  • [7] R. A. Borzooei, H. R. Varasteh, K. Borna, Fundamental hoop-algebras, Ratio Mathematica, vol. 29 (2015), pp. 25–40.
  • [8] B. Bosbach, Komplementäre Halbgruppen. Axiomatik und Arithmetik, Fundamenta Mathematicae, vol. 64(3) (1969), pp. 257–287, DOI: https://doi.org/10.4064/FM-64-3-257-287
  • [9] B. Bosbach, Komplementäre Halbgruppen. Kongruenzen und Quotienten, Fundamenta Mathematicae, vol. 69(1) (1970), pp. 1–14.
  • [10] G. Georgescu, L. Leustean, V. Preoteasa, Pseudo-hoops, Journal of Multiple-Valued Logic and Soft Computing, vol. 11(1–2) (2005), pp. 153–184.
  • [11] Y. B. Jun, S. Z. Song, E. H. Roh, Soju structures with applications in BCK=BCI-algebras, Afrika Matematika, (submitted).
  • [12] M. A. Kologani, R. A. Borzooei, On ideal theory of hoops, Mathematica Bohemica, vol. 145 (2019), pp. 1–22, DOI: https://doi.org/10.21136/MB.2019.0140-17
  • [13] M. Kondo, Some types of filters in hoops, Multiple-Valued Logic, (IS-MVL), (2011), pp. 50–53, DOI: https://doi.org/10.1109/ISMVL.2011.9
  • [14] P. K. Maji, R. Biswas, A. R. Roy, Soft set theory, Computers and Mathematics with Applications, vol. 45(4–5) (2003), pp. 555–562, DOI: https://doi.org/10.1016/S0898-1221(03)00016-6
  • [15] D. Molodtsov, Soft set theory – First results, Computers and Mathematics with Applications, vol. 37(4–5) (1999), pp. 19–31, DOI: https://doi.org/10.1016/S0898-1221(99)00056-5
  • [16] X. L. Xin, R. A. Borzooei, Y. B. Jun, Positive implicative soju ideals in BCK-algebras , Bulletin of the Section of Logic, vol. 48(1) (2019), pp. 1–18, DOI: https://doi.org/10.18778/0138-0680.48.1.01
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.ojs-doi-10_18778_0138-0680_2020_28
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