TY - JOUR
ID - 4640
TI - Properties of fuzzy relations and aggregation process in decision making
JO - Iranian Journal of Fuzzy Systems
JA - IJFS
LA - en
SN - 1735-0654
AU - Bentkowska, U.
AD - Interdisciplinary Centre for Computational Modelling, University of Rzeszow, Al. Rejtana 16C, 35-959 Rzeszow, Poland
Y1 - 2019
PY - 2019
VL - 16
IS - 3
SP - 1
EP - 15
KW - Fuzzy relation
KW - aggregation function
KW - Decision making
DO - 10.22111/ijfs.2019.4640
N2 - In this contribution connections between input fuzzy relations R1, . . . ,Rn on a set X and the output fuzzy relationRF = F(R1, . . . ,Rn) are studied. F is a function of the form F : [0, 1]n → [0, 1] and RF is called an aggregated fuzzyrelation. In the literature the problem of preservation, by a function F, diverse types of properties of fuzzy relationsR1, . . . ,Rn is examined. Here, it is considered the converse approach. Namely, fuzzy relation RF = F(R1, . . . ,Rn) isassumed to have a given property and then it is checked if fuzzy relations R1, . . . ,Rn have this property. Moreover, adiscussion on the mentioned two approaches is provided. The properties, which are examined in this paper, depend ontheir notions on binary operations B : [0, 1]2 → [0, 1]. By incorporating operation B these properties are generalizedversions of known properties of fuzzy relations.
UR - http://ijfs.usb.ac.ir/article_4640.html
L1 - http://ijfs.usb.ac.ir/article_4640_dc4adb5c9a4cc97602f04fd3e6fcdcb3.pdf
ER -