Type-1 OWA operators in aggregating multiple sources of uncertain information : properties and real world applications

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Zhou, Shang-Ming and Chiclana, Francisco and John, Robert I. and Garibaldi, Jonathan M. and Huo, Lin (2020) Type-1 OWA operators in aggregating multiple sources of uncertain information : properties and real world applications. IEEE Transactions on Fuzzy Systems. ISSN 1941-0034 (https://doi.org/10.1109/TFUZZ.2020.2992909)

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Abstract

The type-1 ordered weighted averaging (T1OWA) operator has demonstrated the capacity for directly aggregating multiple sources of linguistic information modelled by fuzzy sets rather than crisp values. Yager's OWA operators possess the properties of idempotence, monotonicity, compensativeness, and commutativity. This paper aims to address whether or not T1OWA operators possess these properties when the inputs and associated weights are fuzzy sets instead of crisp numbers. To this end, a partially ordered relation of fuzzy sets is defined based on the fuzzy maximum (join) and fuzzy minimum (meet) operators of fuzzy sets, and an alpha-equivalently-ordered relation of groups of fuzzy sets is proposed. Moreover, as the extension of orness and andness of an Yager's OWA operator, joinness and meetness of a T1OWA operator are formalised, respectively. Then, based on these concepts and the Representation Theorem of T1OWA operators, we prove that T1OWA operators hold the same properties as Yager's OWA operators possess, i.e.: idempotence, monotonicity, compensativeness, and commutativity. Various numerical examples and a case study of diabetes diagnosis are provided to validate the theoretical analyses of these properties in aggregating multiple sources of uncertain information and improving integrated diagnosis, respectively.

  • Item type:Article
    ID code:73842
    Dates:
    Date
    Event
    6 May 2020
    Published
    6 May 2020
    Published Online
    27 April 2020
    Accepted
    Notes:© 2020 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.
    Subjects:Science > Mathematics > Electronic computers. Computer science
    Department:Faculty of Science > Computer and Information Sciences
    Depositing user: Pure Administrator
    Date deposited:15 Sep 2020 13:44
    Last modified:20 Dec 2024 01:51
    URI:https://strathprints.strath.ac.uk/id/eprint/73842
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