60
Views
0
CrossRef citations to date
0
Altmetric
Articles

Preorder-based triangle: a modified version of bilattice-based triangle for belief revision in nonmonotonic reasoning

, &
Pages 665-690 | Received 21 Mar 2017, Accepted 18 Mar 2018, Published online: 18 May 2018

References

  • Arieli, O., Cornelis, C., Deschrijver, G., & Kerre, E. (2004). Relating intuitionistic fuzzy sets and interval-valued fuzzy sets through bilattices. In D. Ruan, P. D’hondt, M. De Cock, M. Nachtegael, & E. E. Kerre, (Eds.), Applied Computational Intelligence, (pp. 57–64). World Scientific.
  • Arieli, O., Cornelis, C., Deschrijver, G., & Kerre, E. (2005). Bilattice-based squares and triangles. In European Conference on Symbolic and Quantitative Approaches to Reasoning and Uncertainty (pp. 563–575). Barcelona, Catalonia, Spain.
  • Bauters, K., Schockaert, S., De Cock, M., & Vermeir, D. (2014). Semantics for possibilistic answer set programs: Uncertain rules versus rules with uncertain conclusions. International Journal of Approximate Reasoning, 55(2), 739–761.
  • Bauters, K., Schockaert, S., Janssen, J., Vermeir, D., & De Cock, M. (2010). Towards possibilistic fuzzy answer set programming. In 13th Non-monotonic Reasoning Workshop (NMR 2010); Collocated with 12th International Conference on the Principles of Knowledge Representation and Reasoning (KR 2010). Sutton Place, Toronto, Canada.
  • Brewka, G. (1991). Nonmonotonic reasoning: Logical foundations of commonsense (Vol. 12). New York, NY, USA: Cambridge University Press.
  • Burke, M. D., & Madison, D. E. (1990). Artificial intelligence in emergency department triage. The Journal of Ambulatory Care Management, 13(3), 50–54.
  • Cornelis, C., Arieli, O., Deschrijver, G., & Kerre, E. E. (2007). Uncertainty modeling by bilattice-based squares and triangles. IEEE Transactions on Fuzzy Systems, 15(2), 161–175.
  • Deschrijver, G. (2008). Additive generators in interval-valued fuzzy set theory. In Proceedings of IPMU (Vol. 8, p. 1337). Málaga, Spain.
  • Deschrijver, G. (2009). Generalized arithmetic operators and their relationship to t-norms in interval-valued fuzzy set theory. Fuzzy Sets and Systems, 160(21), 3080–3102.
  • Deschrijver, G., Arieli, O., Cornelis, C., & Kerre, E. E. (2007). A bilattice-based framework for handling graded truth and imprecision. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 15(01), 13–41.
  • Dubois, D. (2008). On ignorance and contradiction considered as truth-values. Logic Journal of IGPL, 16(2), 195–216.
  • Esteva, F., Garcia-Calvés, P., & Godo, L. (1994). Enriched interval bilattices and partial many-valued logics: An approach to deal with graded truth and imprecision. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 2(01), 37–54.
  • Ginsberg, M. L. (1988). Multivalued logics: A uniform approach to reasoning in artificial intelligence. Computational Intelligence, 4(3), 265–316.
  • Goguen, J. A. (1967). L-fuzzy sets. Journal of Mathematical Analysis and Applications, 18(1), 145–174.
  • Golding, D., Wilson, L., & Marwala, T. (2008). Emergency centre organization and automated triage system. arXiv preprint arXiv:0810.3671.
  • Nguyen, H. T., Kreinovich, V., & Zuo, Q. (1997). Interval-valued degrees of belief: Applications of interval computations to expert systems and intelligent control. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 5(03), 317–358.
  • Sambuc, R. (1975). Functions flous: Application de l’Aide a Diagnostique en Pathologie Thyroïdienne (Unpublished doctoral dissertation). These Univ. de Marseille, Marseille.
  • Sandewall, E. (1989). The semantics of non-monotonic entailment defined using partial interpretations. In M. Reinfrank, J. de Kleer, M. L. Ginsberg, \ & E. Sandewall (Eds.), Non-monotonic Reasoning. Lecture Notes in Computer Science (Lecture Notes in Artificial Intelligence). (Vol. 346, pp. 27–41). Berlin, Heidelberg: Springer.
  • Shet, V. D. (2007). Bilattice based logical reasoning for automated visual surveillance and other applications (Unpublished doctoral dissertation). Graduate School of the University of Maryland.
  • Shet, V. D., Harwood, D., & Davis, L. S. (2006a). Multivalued default logic for identity maintenance in visual surveillance. In European Conference on Computer Vision (pp. 119–132). Graz, Austria.
  • Shet, V. D., Harwood, D., & Davis, L. S. (2006b). Top-down, bottom-up multivalued default reasoning for identity maintenance. In Proceedings of the 4th ACM International Workshop on Video Surveillance and Sensor Networks (pp. 79–86). Santa Barbara, California, USA.
  • Shet, V. D., Neumann, J., Ramesh, V., & Davis, L. S. (2007). Bilattice-based logical reasoning for human detection. In IEEE Conference on Computer Vision and Pattern Recognition, 2007. CVPR’07 (pp. 1–8). Minneapolis, MN, USA.
  • Wilkes, D. M., Franklin, S., Erdemir, E., Gordon, S., Strain, S., Miller, K., & Kawamura, K. (2010). Heterogeneous artificial agents for triage nurse assistance. In 2010 10th IEEE-RAS International Conference on Humanoid Robots (Humanoids) (pp. 130–137). Nashville, USA.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.