The following publications are possibly variants of this publication:
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- Strengthened ordered directionally monotone functions. Links between the different notions of monotonicityMikel Sesma-Sara, Julio Lafuente, Antonio Roldán, Radko Mesiar, Humberto Bustince. fss, 357:151-172, 2019. [doi]
- A proposal of the notions of ordered and strengthened ordered directional monotonicity for interval-valued functions based on admissible ordersMikel Sesma-Sara, Radko Mesiar, Javier Fernández 0002, Zdenko Takác, Humberto Bustince. fuzzIEEE 2020: 1-7 [doi]
- Directional and Ordered Directional Monotonicity of Mixture FunctionsJana Spirková, Gleb Beliakov, Humberto Bustince, Javier Fernández. agop 2018: 96-105 [doi]
- The state-of-art of the generalizations of the Choquet integral: From aggregation and pre-aggregation to ordered directionally monotone functionsGraçaliz Pereira Dimuro, Javier Fernández 0002, Benjamín R. C. Bedregal, Radko Mesiar, José Antonio Sanz, Giancarlo Lucca, Humberto Bustince. inffus, 57:27-43, 2020. [doi]
- ℱ-homogeneous functions and a generalization of directional monotonicityRegivan H. N. Santiago, Mikel Sesma-Sara, Javier Fernández 0002, Zdenko Takác, Radko Mesiar, Humberto Bustince. ijis, 37(9):5949-5970, 2022. [doi]
- Aggregation and Related Functions in Fuzzy Set Theory: Dualities and Monotonicity-Based GeneralizationsRadko Mesiar, Anna Kolesárová. jamris, 11(3):58-61, 2017. [doi]
- A New Extension of Monotonicity: Ordered Directional MonotonicityHumberto Bustince, Radko Mesiar, Anna Kolesárová, Mikel Sesma-Sara, Javier Fernández 0002, Mikel Galar, Mikel Elkano. eusflat 2018: 295-305 [doi]
- Pre-Aggregations, Ordered Directionally Monotone Functions, and Their Application to Image ProcessingHumberto Bustince. ccia 2017: 1 [doi]
- Generalized CF1F2-integrals: From Choquet-like aggregation to ordered directionally monotone functionsGraçaliz Pereira Dimuro, Giancarlo Lucca, Benjamín R. C. Bedregal, Radko Mesiar, José Antonio Sanz, Chin-Teng Lin, Humberto Bustince. fss, 378:44-67, 2020. [doi]