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oai:repisalud.isciii.es:20.500.12105/234382024-11-28T19:40:15Zcom_20.500.12105_15322com_20.500.12105_2051col_20.500.12105_16967

00925njm 22002777a 4500 dc Massanet, Sebastia author Mir, Arnau author Riera, Juan Vicente author Ruiz-Aguilera, Daniel author 2022 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. 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 Fuzzy implication functions Polynomials Monotonicities Fuzzy implication functions with a specific expression: The polynomial case