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
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)
Result continuities
Project
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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