Fuzzy logic programming via multilattices

uncategorised
Authors

Jesús Medina

Manuel Ojeda-Aciego

Jorge Ruiz-Calvi~no

Published

1 January 2007

Publication details

Fuzzy Sets Syst. vol. 158 (6), pages 674–688.

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Abstract

Citation

Please, cite this work as:

[MOR07] J. Medina, M. Ojeda-Aciego, and J. Ruiz-Calvi~no. “Fuzzy logic programming via multilattices”. In: Fuzzy Sets Syst. 158.6 (2007), pp. 674-688. DOI: 10.1016/J.FSS.2006.11.006. URL: https://doi.org/10.1016/j.fss.2006.11.006.

@Article{Medina2007,
     author = {Jes{’u}s Medina and Manuel Ojeda-Aciego and Jorge Ruiz-Calvi~no},
     journal = {Fuzzy Sets Syst.},
     title = {Fuzzy logic programming via multilattices},
     year = {2007},
     number = {6},
     pages = {674–688},
     volume = {158},
     bibsource = {dblp computer science bibliography, https://dblp.org},
     biburl = {https://dblp.org/rec/journals/fss/MedinaOR07.bib},
     doi = {10.1016/J.FSS.2006.11.006},
     timestamp = {Sun, 06 Oct 2024 01:00:00 +0200},
     url = {https://doi.org/10.1016/j.fss.2006.11.006},
}

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Fuzzy logic programming via multilattices

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Papers citing this work

The following is a non-exhaustive list of papers that cite this work:

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[3] I. P. Cabrera, P. Cordero, and M. Ojeda-Aciego. “Non-deterministic Algebraic Structures for Soft Computing”. In: Advances in Computational Intelligence. Springer Berlin Heidelberg, 2011, p. 437–444. ISBN: 9783642214981. DOI: 10.1007/978-3-642-21498-1_55. URL: http://dx.doi.org/10.1007/978-3-642-21498-1_55.

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[5] I. Cabrera, P. Cordero, G. Gutiérrez, et al. “Finitary coalgebraic multisemilattices and multilattices”. In: Applied Mathematics and Computation 219.1 (Sep. 2012), p. 31–44. ISSN: 0096-3003. DOI: 10.1016/j.amc.2011.10.081. URL: http://dx.doi.org/10.1016/j.amc.2011.10.081.

[6] I. Cabrera, P. Cordero, G. Gutiérrez, et al. “On residuation in multilattices: Filters, congruences, and homomorphisms”. In: Fuzzy Sets and Systems 234 (Jan. 2014), p. 1–21. ISSN: 0165-0114. DOI: 10.1016/j.fss.2013.04.002. URL: http://dx.doi.org/10.1016/j.fss.2013.04.002.

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[8] M. E. Cornejo, J. Medina, and E. Ramírez-Poussa. “Adjoint negations, more than residuated negations”. In: Information Sciences 345 (Jun. 2016), p. 355–371. ISSN: 0020-0255. DOI: 10.1016/j.ins.2016.01.038. URL: http://dx.doi.org/10.1016/j.ins.2016.01.038.

[9] M. E. Cornejo, J. Medina, and E. Ramírez-Poussa. “Multi-adjoint algebras versus non-commutative residuated structures”. In: International Journal of Approximate Reasoning 66 (Nov. 2015), p. 119–138. ISSN: 0888-613X. DOI: 10.1016/j.ijar.2015.08.003. URL: http://dx.doi.org/10.1016/j.ijar.2015.08.003.

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[11] L. É. Diékouam Fotso, C. P. Kengne, and D. C. Awouafack. “Fuzzy prime filter theorem in multilattices”. In: Fuzzy Sets and Systems 497 (Dec. 2024), p. 109148. ISSN: 0165-0114. DOI: 10.1016/j.fss.2024.109148. URL: http://dx.doi.org/10.1016/j.fss.2024.109148.

[12] P. Julian-Iranzo and F. Saenz-Perez. “Proximity-Based Unification: An Efficient Implementation Method”. In: IEEE Transactions on Fuzzy Systems 29.5 (May. 2021), p. 1238–1251. ISSN: 1941-0034. DOI: 10.1109/tfuzz.2020.2973129. URL: http://dx.doi.org/10.1109/tfuzz.2020.2973129.

[13] P. Julián-Iranzo and F. Sáenz-Pérez. “BousiProlog: Design and implementation of a proximity-based fuzzy logic programming language”. In: Expert Systems with Applications 213 (Mar. 2023), p. 118858. ISSN: 0957-4174. DOI: 10.1016/j.eswa.2022.118858. URL: http://dx.doi.org/10.1016/j.eswa.2022.118858.

[14] J. Medina-Moreno, M. Ojeda-Aciego, and J. Ruiz-Calviño. “Concept-Forming Operators on Multilattices”. In: Formal Concept Analysis. Springer Berlin Heidelberg, 2013, p. 203–215. ISBN: 9783642383175. DOI: 10.1007/978-3-642-38317-5_13. URL: http://dx.doi.org/10.1007/978-3-642-38317-5_13.

[15] J. Medina, M. Ojeda-Aciego, J. Pócs, et al. “On the Dedekind–MacNeille completion and formal concept analysis based on multilattices”. In: Fuzzy Sets and Systems 303 (Nov. 2016), p. 1–20. ISSN: 0165-0114. DOI: 10.1016/j.fss.2016.01.007. URL: http://dx.doi.org/10.1016/j.fss.2016.01.007.

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[18] G. Nguepy Dongmo, B. B. Koguep Njionou, L. Kwuida, et al. “Multilattice as the set of truth values for fuzzy rough sets”. In: Journal of Applied Non-Classical Logics (Jul. 2024), p. 1–20. ISSN: 1958-5780. DOI: 10.1080/11663081.2024.2373016. URL: http://dx.doi.org/10.1080/11663081.2024.2373016.

[19] G. Nguepy Dongmo, B. B. Koguep Njionou, L. Kwuida, et al. “Rough Fuzzy Concept Analysis via Multilattice”. In: Rough Sets. Springer Nature Switzerland, 2023, p. 495–508. ISBN: 9783031509599. DOI: 10.1007/978-3-031-50959-9_34. URL: http://dx.doi.org/10.1007/978-3-031-50959-9_34.

[20] G. Nguepy Dongmo, B. Koguep Njionou, L. Kwuida, et al. “Roughness in formal concept analysis via multilattices”. In: Fuzzy Sets and Systems 500 (Jan. 2025), p. 109179. ISSN: 0165-0114. DOI: 10.1016/j.fss.2024.109179. URL: http://dx.doi.org/10.1016/j.fss.2024.109179.

[21] U. Straccia, M. Ojeda-Aciego, and C. V. Damásio. “On Fixed-Points of Multivalued Functions on Complete Lattices and Their Application to Generalized Logic Programs”. In: SIAM Journal on Computing 38.5 (Jan. 2009), p. 1881–1911. ISSN: 1095-7111. DOI: 10.1137/070695976. URL: http://dx.doi.org/10.1137/070695976.

[22] Y. Xu, L. Liu, and X. Zhang. “Multilattices on typical hesitant fuzzy sets”. In: Information Sciences 491 (Jul. 2019), p. 63–73. ISSN: 0020-0255. DOI: 10.1016/j.ins.2019.03.078. URL: http://dx.doi.org/10.1016/j.ins.2019.03.078.