%0 Journal Article
%T Properties of fuzzy relations and aggregation process in decision making
%J Iranian Journal of Fuzzy Systems
%I University of Sistan and Baluchestan
%Z 1735-0654
%A Bentkowska, U.
%D 2019
%\ 06/29/2019
%V 16
%N 3
%P 1-15
%! Properties of fuzzy relations and aggregation process in decision making
%K Fuzzy relation
%K aggregation function
%K Decision making
%R 10.22111/ijfs.2019.4640
%X 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.
%U http://ijfs.usb.ac.ir/article_4640_dc4adb5c9a4cc97602f04fd3e6fcdcb3.pdf