TY - JOUR
T1 - Bipolar fuzzy integrals
AU - Greco, Salvatore
AU - Rindone, Fabio
N1 - embargo 24 mths
NOTICE: this is the author’s version of a work that was accepted for publication in Fuzzy Sets and Systems. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Fuzzy Sets and Systems, 220, 1 June 2013, DOI: 10.1016/j.fss.2012.11.021
PY - 2013/6/1
Y1 - 2013/6/1
N2 - In decision analysis, and especially in multiple-criteria decision analysis, several non-additive integrals have been introduced in the last 60 years. These include the Choquet integral, the Shilkret integral and the Sugeno integral, among others. Recently, a bipolar Choquet integral was proposed for cases in which the underlying scale is bipolar. In this paper we propose a bipolar Shilkret integral and a bipolar Sugeno integral. Moreover, we provide an axiomatic characterization of all three bipolar fuzzy integrals.
AB - In decision analysis, and especially in multiple-criteria decision analysis, several non-additive integrals have been introduced in the last 60 years. These include the Choquet integral, the Shilkret integral and the Sugeno integral, among others. Recently, a bipolar Choquet integral was proposed for cases in which the underlying scale is bipolar. In this paper we propose a bipolar Shilkret integral and a bipolar Sugeno integral. Moreover, we provide an axiomatic characterization of all three bipolar fuzzy integrals.
KW - Non-additive measures
KW - Multiple criteria evaluation
KW - Bi-capacity
KW - Bipolar fuzzy integrals
U2 - 10.1016/j.fss.2012.11.021
DO - 10.1016/j.fss.2012.11.021
M3 - Article
SN - 0165-0114
VL - 220
SP - 21
EP - 33
JO - Fuzzy Sets and Systems
JF - Fuzzy Sets and Systems
ER -