Curtin University Homepage
  • Library
  • Help
    • Admin

    espace - Curtin’s institutional repository

    JavaScript is disabled for your browser. Some features of this site may not work without it.
    View Item 
    • espace Home
    • espace
    • Curtin Research Publications
    • View Item
    • espace Home
    • espace
    • Curtin Research Publications
    • View Item

    Operation properties and δ-equalities of complex fuzzy sets

    135367_135367.pdf (604.0Kb)
    Access Status
    Open access
    Authors
    Zhang, G.
    Dillon, Tharam S
    Cai, K.
    Ma, J.
    Lu, J.
    Date
    2009
    Type
    Journal Article
    
    Metadata
    Show full item record
    Citation
    Zhang, Guangquan and Dillon, Tharam S and Cai, Kai and Ma, Jun and Lu, Jie. 2009. Operation properties and δ-equalities of complex fuzzy sets. International Journal of Approximate Reasoning. 50 (8): pp. 1227-1249.
    Source Title
    International Journal of Approximate Reasoning
    DOI
    10.1016/j.ijar.2009.05.010
    ISSN
    0888613X
    Faculty
    Curtin Business School
    The Digital Ecosystems and Business Intelligence Institute (DEBII)
    School
    Digital Ecosystems and Business Intelligence Institute (DEBII)
    Remarks

    The link to the journal’s home page is: http://www.elsevier.com/wps/find/journaldescription.cws_home/505787/description#description. Copyright © 2009 Elsevier B.V. All rights reserved

    URI
    http://hdl.handle.net/20.500.11937/26238
    Collection
    • Curtin Research Publications
    Abstract

    A complex fuzzy set is a fuzzy set whose membership function takes values in the unit circle in the complex plane. This paper investigates various operation properties and proposes a distance measure for complex fuzzy sets. The distance of two complex fuzzy sets measures the difference between the grades of two complex fuzzy sets as well as that between the phases of the two complex fuzzy sets. This distance measure is then used to define equalities of complex fuzzy sets which coincide with those of fuzzy sets already defined in the literature if complex fuzzy sets reduce to real-valued fuzzy sets. Two complex fuzzy sets are said to be d-equal if the distance between them is less than 1 d. This paper shows how various operations between complex fuzzy sets affect given δ-equalities of complex fuzzy sets. An example application of signal detection demonstrates the utility of the concept of δ-equalities of complex fuzzy sets in practice.

    Related items

    Showing items related by title, author, creator and subject.

    • Fractals and fuzzy sets for modelling the heterogenity and spatial complexity of urban landscapes using multiscale remote sensing data
      Islam, Zahurul (2004)
      This research presents models for the analysis of textural and contextual information content of multiscale remote sensing to select an appropriate scale for the correct interpretation and mapping of heterogeneous urban ...
    • Generalized fuzzy rough approximation operators determined by fuzzy implicators
      Wu, W.; Leung, Yee-Hong; Shao, M. (2013)
      Abstract In this paper, a general framework for the study of dual fuzzy rough approximation operators determined by a fuzzy implication operator I in infinite universes of discourse is investigated. Lower and upper ...
    • Fuzzy Estimation of Liver Stiffness in Modelling Liver Deformation
      Tan, S.Y.; Dhillon, S.; Sidhu, Amandeep (2014)
      The skill of a successful operation requires a thorough understanding on the particular organs, perhaps de facto surgery is complex nowadays. Therefore, surgical simulator has become an alternative demanding tool among ...
    Advanced search

    Browse

    Communities & CollectionsIssue DateAuthorTitleSubjectDocument TypeThis CollectionIssue DateAuthorTitleSubjectDocument Type

    My Account

    Admin

    Statistics

    Most Popular ItemsStatistics by CountryMost Popular Authors

    Follow Curtin

    • 
    • 
    • 
    • 
    • 

    CRICOS Provider Code: 00301JABN: 99 143 842 569TEQSA: PRV12158

    Copyright | Disclaimer | Privacy statement | Accessibility

    Curtin would like to pay respect to the Aboriginal and Torres Strait Islander members of our community by acknowledging the traditional owners of the land on which the Perth campus is located, the Whadjuk people of the Nyungar Nation; and on our Kalgoorlie campus, the Wongutha people of the North-Eastern Goldfields.