2026-04-29T04:09:07Zhttps://repisalud.isciii.es/rest/oai/requestoai:repisalud.isciii.es:20.500.12105/234382024-11-28T19:40:15Zcom_20.500.12105_15322com_20.500.12105_2051col_20.500.12105_16967
Repisalud
author
Massanet, Sebastia
author
Mir, Arnau
author
Riera, Juan Vicente
author
Ruiz-Aguilera, Daniel
2024-10-04T13:22:50Z
2024-10-04T13:22:50Z
2022
Massanet S, Mir A, Riera JV, Ruiz-Aguilera D. Fuzzy implication functions with a specific expression: The polynomial case. Fuzzy Sets Syst. 2022 Dec;451:176-95.
0165-0114
http://hdl.handle.net/20.500.13003/18630
https://hdl.handle.net/20.500.12105/23438
10.1016/j.fss.2022.06.016
Fuzzy Sets and Systems
2-s2.0-85133667285
897578400011
In the last decades, more than a hundred families of fuzzy implication functions have been proposed. These families are generated by adequately combining other logical connectives or univariate functions. However, no attention has been given to the final expression of the fuzzy implication function, a crucial feature for any application. In this paper, fuzzy polynomial implications are introduced as those fuzzy implication functions whose expression is given by a polynomial of two variables. Polynomials present advantages with respect to other types of functions making them interesting for applications. Several results are proved for polynomials of any degree and the characterisation of all fuzzy polynomial implications of degree less or equal to 4 is achieved.
eng
Fuzzy implication functions
Polynomials
Monotonicities
Fuzzy implication functions with a specific expression: The polynomial case
research article