Tense Operators on BL-algebras and Their Applications

Akbar Paad

Bulletin of the Section of Logic (2021)

  • Volume: 50, Issue: 3, page 299-324
  • ISSN: 0138-0680

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Akbar Paad. "Tense Operators on BL-algebras and Their Applications." Bulletin of the Section of Logic 50.3 (2021): 299-324. <http://eudml.org/doc/298951>.

@article{AkbarPaad2021,
author = {Akbar Paad},
journal = {Bulletin of the Section of Logic},
keywords = {(simple) tense BL-algebra; tense operators; tense filter; tense congruence},
number = {3},
pages = {299-324},
title = {Tense Operators on BL-algebras and Their Applications},
url = {http://eudml.org/doc/298951},
volume = {50},
year = {2021},
}

TY - JOUR
AU - Akbar Paad
TI - Tense Operators on BL-algebras and Their Applications
JO - Bulletin of the Section of Logic
PY - 2021
VL - 50
IS - 3
SP - 299
EP - 324
KW - (simple) tense BL-algebra; tense operators; tense filter; tense congruence
UR - http://eudml.org/doc/298951
ER -

References

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  1. [1] M. Botur, I. Chajda, R. Halaš, M. Kolařík, Tense operators on basic algebras, International Journal of Theoretical Physics, vol. 50 (2011), pp. 3737–3749, DOI: https://doi.org/10.1007/s10773-011-0748-4 
  2. [2] J. P. Burgess, Basic Tense Logic, [in:] D. M. Gabbay, F. Guenthner (eds.), Handbook of Philosophical Logic, Springer Netherlands, Dordrecht (2002), pp. 1–42, DOI: https://doi.org/10.1007/978-94-017-0462-5_1 
  3. [3] I. Chajda, Algebraic axiomatization of tense intuitionistic logic, Open Mathematics, vol. 9(5) (2011), pp. 1185–1191, URL: http://eudml.org/doc/269762 
  4. [4] I. Chajda, M. Kolařík, Dynamic effect algebras, Mathematica Slovaca, vol. 62(3) (2012), pp. 379–388, DOI: https://doi.org/10.2478/s12175-012-0015-z 
  5. [5] D. Diaconescu, G. Georgescu, Tense Operators on MV-Algebras and Łukasiewicz-Moisil Algebras, Fundamenta Informaticae, vol. 81(4) (2007), pp. 379–408. 
  6. [6] A. V. Figallo, G. Gallardo, G. Pelaitay, Tense operators on m-symmetric algebras, International Mathematical Forum, vol. 41 (2011), pp. 2007–2014. 
  7. [7] A. V. Figallo, G. Pelaitay, Tense operators on SHn-algebras, Pioneer Journal Algebra Number Theory and its Applications, vol. 1 (2011), pp. 33–41. 
  8. [8] P. Hájek, Metamathematics of fuzzy logic, Springer Netherlands, Dordrecht (1988), DOI: https://doi.org/10.1007/978-94-011-5300-3 
  9. [9] T. Kowalski, Varieties of tense algebras, Reports on Mathematical Logic, vol. 32 (1998), pp. 53–95. 
  10. [10] C. Lele, J. B. Nganou, MV-algebras derived from ideals in BL-algebras, Fuzzy Sets and Systems, vol. 218 (2013), pp. 103–113, DOI: https://doi.org/10.1016/j.fss.2012.09.014 
  11. [11] A. D. Nola, G. Georgescu, A. Iorgulescu, Pseudo BL-algebras: Part I, Multiple-Valued Logic, vol. 8(5–6) (2000), pp. 673–714. 
  12. [12] A. D. Nola, L. Leuştean, Compact representations of BL-algebras, Archive for Mathematical Logic, vol. 42 (2003), pp. 737–761, DOI: https://doi.org/10.1007/s00153-003-0178-y 

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