A measure of contradiction based on the notion of N-weak-contradiction

 

Abstract

In this work we elaborate on the notion of contradiction between fuzzy sets introduced by Trillas et al in a fuzzy logic context. Our approach is parametric in that the operator used to define contradiction is rather a variable than a constant introduced prior to the analysis of contradiction. We give several motivations to consider weaker operators than the usual involutive negations, and obtain some preliminary results which validate this proposal.

Citation

Please, cite this work as:

[BMO13] H. Bustince, N. Madrid, and M. Ojeda-Aciego. “A measure of contradiction based on the notion of N-weak-contradiction”. In: FUZZ-IEEE 2013, IEEE International Conference on Fuzzy Systems, Hyderabad, India, 7-10 July, 2013, Proceedings. IEEE, 2013, pp. 1-6. DOI: 10.1109/FUZZ-IEEE.2013.6622563. URL: https://doi.org/10.1109/FUZZ-IEEE.2013.6622563.

BibTeX

@InProceedings{Bustince2013,
     author = {Humberto Bustince and Nicol{’a}s Madrid and Manuel Ojeda-Aciego},
     booktitle = {{FUZZ-IEEE} 2013, {IEEE} International Conference on Fuzzy Systems, Hyderabad, India, 7-10 July, 2013, Proceedings},
     title = {A measure of contradiction based on the notion of N-weak-contradiction},
     year = {2013},
     pages = {1–6},
     publisher = {{IEEE}},
     bibsource = {dblp computer science bibliography, https://dblp.org},
     biburl = {https://dblp.org/rec/conf/fuzzIEEE/BustinceMO13.bib},
     doi = {10.1109/FUZZ-IEEE.2013.6622563},
     timestamp = {Mon, 03 Jan 2022 00:00:00 +0100},
     url = {https://doi.org/10.1109/FUZZ-IEEE.2013.6622563},
}

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A measure of contradiction based on the notion of N-weak-contradiction

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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. “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.

[3] N. Madrid and M. Ojeda-Aciego. “Approaching the Square of Oppositions in Terms of the f -indexes of Inclusion and Contradiction”. In: Joint Proceedings of the 19th World Congress of the International Fuzzy Systems Association (IFSA), the 12th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT), and the 11th International Summer School on Aggregation Operators (AGOP). ifsa-eusflat-agop-21. Atlantis Press, 2021. DOI: 10.2991/asum.k.210827.055. URL: http://dx.doi.org/10.2991/asum.k.210827.055.

[4] N. Madrid and M. Ojeda-Aciego. “On Contradiction and Inclusion Using Functional Degrees”. In: International Journal of Computational Intelligence Systems 13.1 (2020), p. 464. ISSN: 1875-6883. DOI: 10.2991/ijcis.d.200409.001. URL: http://dx.doi.org/10.2991/ijcis.d.200409.001.

[5] N. Madrid and M. Ojeda-Aciego. “Some Relationships Between the Notions of f-Inclusion and f-Contradiction”. In: Computational Intelligence and Mathematics for Tackling Complex Problems 2. Springer International Publishing, 2022, p. 175–181. ISBN: 9783030888176. DOI: 10.1007/978-3-030-88817-6_20. URL: http://dx.doi.org/10.1007/978-3-030-88817-6_20.

[6] N. Madrid, M. Ojeda-Aciego, and I. Perfilieva. “ƒ-inclusion indexes between fuzzy sets”. In: Proceedings of the 2015 Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and Technology. ifsa-eusflat-15. Atlantis Press, 2015. DOI: 10.2991/ifsa-eusflat-15.2015.217. URL: http://dx.doi.org/10.2991/ifsa-eusflat-15.2015.217.