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Bi-polar preference based weights allocation with incomplete fuzzy relations

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F23%3A73621128" target="_blank" >RIV/61989592:15310/23:73621128 - isvavai.cz</a>

  • Result on the web

    <a href="https://www.sciencedirect.com/science/article/pii/S0020025522013883" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0020025522013883</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1016/j.ins.2022.11.097" target="_blank" >10.1016/j.ins.2022.11.097</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Bi-polar preference based weights allocation with incomplete fuzzy relations

  • Original language description

    Normalized weight vector determination under bi-polar preferences is important in multicriteria decision making and its related evaluation problems. In order to determine weights for the elements in partially ordered set which can embody bi-polar preferences, some new methods such as the ordered weighted averaging (OWA) aggregation on lattice using three-set formulation have been proposed. However, when there are no posets and orders but fuzzy relations available, some new effective generalized methods should be proposed. This work differentiates two types of special fuzzy relations, called incomplete fuzzy relation and contradictive fuzzy relation. Two objective methods to derive incomplete fuzzy relation from a set of vectors and basic uncertain information (BUI) granules are introduced. Two scaling methods to transform contradictive fuzzy relation into incomplete fuzzy relation are suggested. Based on those derived fuzzy relations and given convex/concave basic unit monotonic (BUM) functions, some weights allocation methods are proposed which can well embody the bi-polar preferences of decision makers. The method further generalizes the OWA aggregation on lattice. Some mathematical properties, four different instances and some numerical examples with application backgrounds or potentials are also provided.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

Result continuities

  • Project

  • Continuities

    S - Specificky vyzkum na vysokych skolach

Others

  • Publication year

    2023

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    INFORMATION SCIENCES

  • ISSN

    0020-0255

  • e-ISSN

    1872-6291

  • Volume of the periodical

    621

  • Issue of the periodical within the volume

    APR

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    11

  • Pages from-to

    308-318

  • UT code for WoS article

    000900939600018

  • EID of the result in the Scopus database

    2-s2.0-85143611929