Metadata language
Książka = Book ; KS/2/2014/T1P04
Creator:De Tré, Guy ; Bentkowska, Urszula
Publisher:Instytut Badań Systemowych. Polska Akademia Nauk ; Systems Research Institute. Polish Academy of Sciences
Place of publishing: Date issued/created: Description:[5], 63-85 pages ; 21 cm ; Bibliography p. 83-85
Type of object: Abstract: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, . . . ,Rn on a set X are compared with properties of the aggregated fuzzy relation RF = F(R1, . . . ,Rn), where F is a function of the type F : [0, 1]n → [0, 1]. There are discussed α-properties (which may be called graded properties) as reflexivity, irreflexivity, symmetry, asymmetry, antisymmetry, connectedness and transitivity, where α ∈ [0, 1]. Fuzzy relations with a given graded property are considered (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).
Relation: Resource type: Detailed Resource Type: Source: Language: Language of abstract: Rights:Creative Commons Attribution BY 4.0 license
Terms of use:Copyright-protected material. [CC BY 4.0] May be used within the scope specified in Creative Commons Attribution BY 4.0 license, full text available at: ; -
Digitizing institution:Systems Research Institute of the Polish Academy of Sciences
Original in:Library of Systems Research Institute PAS
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