TY - JOUR
ID - 128549
TI - New view of fuzzy aggregations, part II: associated probabilities in the POWA operator
JO - Journal of Fuzzy Extension and Applications
JA - JFEA
LA - en
SN - 2783-1442
AU - Sirbiladze, Gia
AD - Department of Computer Sciences, Iv. Javakhishvili Tbilisi State University, Tbilisi, Georgia.
Y1 - 2021
PY - 2021
VL -
IS -
SP - 191
EP - 211
KW - mean fuzzy aggregation operators
KW - associated probabilities
KW - Finite Sugeno Averaging
KW - Finite Choquet Averaging
KW - body of evidence
KW - possibility measure
KW - Fuzzy Decision Making
DO - 10.22105/jfea.2021.275094.1081
N2 - The Ordered Weighted Averaging (OWA) operator was introduced by YagerÂ [58] to provide a method for aggregating inputs that lie between the max and min operators. In this article several variants of the generalizations of the fuzzy-probabilistic OWA operator - POWA (introduced by Merigo [27] and [28]) are presented in the environment of fuzzy uncertainty, where different monotone measures (fuzzy measure) are used as an uncertainty measure. The considered monotone measures are: possibility measure, Sugeno additive measure, monotone measure associated with Belief Structure and capacity of order two. New aggregation operators are introduced: AsPOWA and SA-AsPOWA. Some properties of new aggregation operators are proved. Concrete faces of new operators are presented with respect to different monotone measures and mean operators. Concrete operators are induced by the Monotone Expectation (Choquet integral) or Fuzzy Expected Value (Sugeno integral) and the Associated Probability Class (APC) of a monotone measure. For the new operators the information measuresâ€“Orness, Entropy, Divergence and Balance are introduced as some extensions of the definitions presented in [28].
UR - http://www.journal-fea.com/article_128549.html
L1 - http://www.journal-fea.com/article_128549_9eedb17ac8dc9211916f86c8eb4e2779.pdf
ER -