Advanced search
1 file | 296.66 KB Add to list

Kitainik axioms do not characterize the class of inclusion measures based on contrapositive fuzzy implications

(2023) FUZZY SETS AND SYSTEMS. 456. p.208-214
Author
Organization
Project
Abstract
In this short communication, we refute the conjecture by Fodor and Yager from [5] that the class of inclusion measures proposed by Kitainik coincides with that of inclusion measures based on contrapositive fuzzy implications. In particular, we show that the conjecture only holds when the considered universe of discourse is finite.
Keywords
Artificial Intelligence, Logic, Kitainik axioms, Fuzzy inclusion, Fuzzy implications

Downloads

  • 1-s2.0-S0165011422002020-main.pdf
    • full text (Published version)
    • |
    • open access
    • |
    • PDF
    • |
    • 296.66 KB

Citation

Please use this url to cite or link to this publication:

MLA
Madrid, Nicolás, and Chris Cornelis. “Kitainik Axioms Do Not Characterize the Class of Inclusion Measures Based on Contrapositive Fuzzy Implications.” FUZZY SETS AND SYSTEMS, vol. 456, 2023, pp. 208–14, doi:10.1016/j.fss.2022.05.010.
APA
Madrid, N., & Cornelis, C. (2023). Kitainik axioms do not characterize the class of inclusion measures based on contrapositive fuzzy implications. FUZZY SETS AND SYSTEMS, 456, 208–214. https://doi.org/10.1016/j.fss.2022.05.010
Chicago author-date
Madrid, Nicolás, and Chris Cornelis. 2023. “Kitainik Axioms Do Not Characterize the Class of Inclusion Measures Based on Contrapositive Fuzzy Implications.” FUZZY SETS AND SYSTEMS 456: 208–14. https://doi.org/10.1016/j.fss.2022.05.010.
Chicago author-date (all authors)
Madrid, Nicolás, and Chris Cornelis. 2023. “Kitainik Axioms Do Not Characterize the Class of Inclusion Measures Based on Contrapositive Fuzzy Implications.” FUZZY SETS AND SYSTEMS 456: 208–214. doi:10.1016/j.fss.2022.05.010.
Vancouver
1.
Madrid N, Cornelis C. Kitainik axioms do not characterize the class of inclusion measures based on contrapositive fuzzy implications. FUZZY SETS AND SYSTEMS. 2023;456:208–14.
IEEE
[1]
N. Madrid and C. Cornelis, “Kitainik axioms do not characterize the class of inclusion measures based on contrapositive fuzzy implications,” FUZZY SETS AND SYSTEMS, vol. 456, pp. 208–214, 2023.
@article{8758297,
  abstract     = {{In this short communication, we refute the conjecture by Fodor and Yager from [5] that the class of inclusion measures proposed by Kitainik coincides with that of inclusion measures based on contrapositive fuzzy implications. In particular, we show that the conjecture only holds when the considered universe of discourse is finite.}},
  author       = {{Madrid, Nicolás and Cornelis, Chris}},
  issn         = {{0165-0114}},
  journal      = {{FUZZY SETS AND SYSTEMS}},
  keywords     = {{Artificial Intelligence,Logic,Kitainik axioms,Fuzzy inclusion,Fuzzy implications}},
  language     = {{eng}},
  pages        = {{208--214}},
  title        = {{Kitainik axioms do not characterize the class of inclusion measures based on contrapositive fuzzy implications}},
  url          = {{http://doi.org/10.1016/j.fss.2022.05.010}},
  volume       = {{456}},
  year         = {{2023}},
}

Altmetric
View in Altmetric
Web of Science
Times cited: