Metadata language
Książka = Book ; KS/5/2010/T1P19
Creator: Publisher:Instytut Badań Systemowych. Polska Akademia Nauk ; Systems Research Institute. Polish Academy of Sciences
Place of publishing: Date issued/created: Description:[5], 185-208 pages ; 21 cm ; Bibliography p. 207-208
Type of object: Abstract:Metaset is a new concept of set with partial membership relation. Although based on the classical set theory, themetaset theory is directed towards computer implementations and applications due to computer oriented definitions of basic relations and algebraic operations. The degrees to which membership, non-membership and uncertainty relations for metasets are satisfied, are represented by sets of nodes of the binary tree. In this paper we focus on the representation of intuitionistic fuzzy sets by means of metasets. In particular we show how to represent an uncertainty degree by means of two metasets. Also, we define a numerical evaluation of degrees represented by sets of nodes. As the main result we construct a family of metasets that correspond to elements of the given intuitionistic fuzzy set. Their uncertainty, nonmembership and membership degrees to another dedicated metaset, evaluated as real numbers, are equal to the degrees of corresponding elements of the intuitionistic fuzzy set.
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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