- Tytuł:
- Comparison of Algorithms for Decision Making Problems and Preservation of α-properties of Fuzzy Relations in Aggregation Process
- Autorzy:
-
Bentkowska, U.
Balicki, K. - Powiązania:
- https://bibliotekanauki.pl/articles/950912.pdf
- Data publikacji:
- 2016
- Wydawca:
- Sieć Badawcza Łukasiewicz - Przemysłowy Instytut Automatyki i Pomiarów
- Tematy:
-
decision making algorithms
fuzzy relations
properties of fuzzy relations
aggregation function - Opis:
- In the paper the problem of preservation of properties of fuzzy relations during aggregation process is considered. It means that properties of fuzzy relations R1, … , R2 on a set X are compared with properties of the aggregated fuzzy relation RF = F(R1, … , R2), where R is a function of the type F ∶ [0, 1]n → [0, 1]. There are discussed α-properties (which may be called graded properties - to some grade R) as reflexivity, irreflexivity, symmetry, asymmetry, antisymmetry, connectedness and transitivity, where α ∈ [0, 1]. Fuzzy relations with a given graded property are analyzed (there may be diverse grades of the same property) and the obtained grade of the aggregated fuzzy relation is provided. There is also discussed the „converse” problem. Namely, relation RF = F(R1, … , Rn) is assumed to have a graded property and the properties of relations R1, … , Rn are examined (possibly with some assumptions on F). Presented here considerations have possible applications in decision making algorithms. This is why interpretation of the considered graded properties and possible potential in decision making is presented.
- Źródło:
-
Journal of Automation Mobile Robotics and Intelligent Systems; 2016, 10, 2; 25-39
1897-8649
2080-2145 - Pojawia się w:
- Journal of Automation Mobile Robotics and Intelligent Systems
- Dostawca treści:
- Biblioteka Nauki
Artykuł