On the measure of incoherent information in extended multi-adjoint logic programs
Abstract
We continue analyzing the introduction of negation into the framework of residuated logic programming [8], [10]; specifically, we focus on extended programs, that is we consider programs with strong negation. The classical approach to extended logic programs consists in considering negated literals as new, independent, ones and, then apply the usual monotonic approach (based on the fix-point semantics and the T p operator); if the least fix-point so obtained is inconsistent, then the approach fails and no meaning is attached to the program. This paper introduces several approaches to measure consistency (under the term coherence) into a multi-adjoint setting.
Citation
Please, cite this work as:
[MO13] N. Madrid and M. Ojeda-Aciego. “On the measure of incoherent information in extended multi-adjoint logic programs”. In: IEEE Symposium on Foundations of Computational Intelligence, FOCI 2013, Singapore, Singapore, April 16-19, 2013. IEEE, 2013, pp. 30-37. DOI: 10.1109/FOCI.2013.6602452. URL: https://doi.org/10.1109/FOCI.2013.6602452.
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Papers citing this work
The following is a non-exhaustive list of papers that cite this work:
[1] H. Bustince, N. Madrid, and M. Ojeda-Aciego. “The Notion of Weak-Contradiction: Definition and Measures”. In: IEEE Transactions on Fuzzy Systems 23.4 (Aug. 2015), p. 1057–1069. ISSN: 1941-0034. DOI: 10.1109/tfuzz.2014.2337934. URL: http://dx.doi.org/10.1109/tfuzz.2014.2337934.
[2] M. E. Cornejo, D. Lobo, and J. Medina. “Extended multi-adjoint logic programming”. In: Fuzzy Sets and Systems 388 (Jun. 2020), p. 124–145. ISSN: 0165-0114. DOI: 10.1016/j.fss.2019.03.016. URL: http://dx.doi.org/10.1016/j.fss.2019.03.016.
[3] M. E. Cornejo, D. Lobo, and J. Medina. “Measuring the Incoherent Information in Multi-adjoint Normal Logic Programs”. In: Advances in Fuzzy Logic and Technology 2017. Springer International Publishing, Sep. 2017, p. 521–533. ISBN: 9783319668307. DOI: 10.1007/978-3-319-66830-7_47. URL: http://dx.doi.org/10.1007/978-3-319-66830-7_47.
[4] M. E. Cornejo, D. Lobo, and J. Medina. “Relating Multi-Adjoint Normal Logic Programs to Core Fuzzy Answer Set Programs from a Semantical Approach”. In: Mathematics 8.6 (Jun. 2020), p. 881. ISSN: 2227-7390. DOI: 10.3390/math8060881. URL: http://dx.doi.org/10.3390/math8060881.
[5] M. E. Cornejo, D. Lobo, and J. Medina. “Selecting the Coherence Notion in Multi-adjoint Normal Logic Programming”. In: Advances in Computational Intelligence. Springer International Publishing, 2017, p. 447–457. ISBN: 9783319591537. DOI: 10.1007/978-3-319-59153-7_39. URL: http://dx.doi.org/10.1007/978-3-319-59153-7_39.
[6] M. E. Cornejo and J. Medina. “Right Adjoint Algebras Versus Operator Left Residuated Posets”. In: Rough Sets. Springer International Publishing, 2021, p. 180–191. ISBN: 9783030873349. DOI: 10.1007/978-3-030-87334-9_15. URL: http://dx.doi.org/10.1007/978-3-030-87334-9_15.