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On the Knowledge-based Dynamic Fuzzy Sets

Intan, Rolly and Halim, Siana and Dewi, Lily Puspa (2018) On the Knowledge-based Dynamic Fuzzy Sets. In: IC4S, 21-10-2018 - 21-10-2018, Bangkok - Thailand.

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    Abstract

    In 1965, L.A. Zadeh [1] introduced fuzzy set as a generalization of crisp set by considering membership degrees of elements. That membership degree is represented gradually as a real number in an interval [0,1]. Wang et al. [2] generalized the concept of fuzzy set, called Dynamic Fuzzy Sets (DFS). In the DFS each membership degree of an element is given by a membership function dealing with time variable. Thus, the membership degree of an element in a given dynamic fuzzy set might dynamically change according to the time�s variable. In 2002, Intan and Mukaidono [3] proposed an extended concept of fuzzy set, called Knowledge-based Fuzzy Sets (KFS). In the KFS, the membership degree of an element given a fuzzy set is subjectively determined by a single knowledge. The membership degree of an element with respect to a given fuzzy set may be different provided by different knowledge of persons. This paper combines both concepts, DFS and KFS, called Knowledge-based Dynamic Fuzzy Sets (KDFS), by realizing that membership function of a given fuzzy set provided by a certain knowledge may be dynamically changed over time. Three kinds of summary fuzzy sets are proposed and discussed. Some basic operations of KDFS are defined. Their properties are verified and examined.

    Item Type: Conference or Workshop Item (Paper)
    Uncontrolled Keywords: Fuzzy Sets, Dynamic Fuzzy Sets, Knowledge-based Fuzzy Sets, Knowledge-based Dynamic Fuzzy Set
    Subjects: Z Bibliography. Library Science. Information Resources > ZA Information resources
    Divisions: Faculty of Industrial Technology > Industrial Engineering Department
    Depositing User: Admin
    Date Deposited: 12 Jan 2019 08:23
    Last Modified: 11 Apr 2019 21:56
    URI: http://repository.petra.ac.id/id/eprint/18234

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