2012/04/23 by Salvatore Greco, Greco, Salvatore, Fabio Rindone +1
Decision Sciences · Engineering · Mathematics · #FOS: Mathematics #Functional Analysis (math.FA) #Fuzzy Systems and Optimization #Multi-Criteria Decision Making #Optimization and Mathematical Programming #math.FA
paper · pdf · doi:10.48550/arxiv.1204.5943
15 pages
arxiv created 2012/04/23 · openalex publication_date 2012/04/23 · arxiv updated 2012/04/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In decision analysis and especially in multiple criteria decision analysis, several non additive integrals have been introduced in the last sixty years. Among them, we remember the Choquet integral, the Shilkret integral and the Sugeno integral. Recently, the bipolar Choquet integral has been proposed for the case in which the underlying scale is bipolar. In this paper we propose the bipolar Shilkret integral and the bipolar Sugeno integral. Moreover, we provide an axiomatic characterization of all these three bipolar fuzzy integrals.