Deriving priority vector from pairwise comparisons matrix with fuzzy elements by solving optimization problem
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19520%2F23%3AA0000372" target="_blank" >RIV/47813059:19520/23:A0000372 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/s12597-023-00641-4" target="_blank" >http://dx.doi.org/10.1007/s12597-023-00641-4</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s12597-023-00641-4" target="_blank" >10.1007/s12597-023-00641-4</a>
Alternative languages
Result language
angličtina
Original language name
Deriving priority vector from pairwise comparisons matrix with fuzzy elements by solving optimization problem
Original language description
Pairwise comparisons matrix with fuzzy elements (FPCM) are appropriate for the decision makers who are uncertain about the relative importance of elements. We can primarily find them in Fuzzy Analytic Hierarchy Process, PROMETHEE, TOPSIS methods, and many exact and heuristic algorithms. They are also useful in aggregating pairwise comparisons, particularly in consensus group decision making problems and they form the basis for many decision-making models as intuitionistic fuzzy relations, pythagorean, q-rung orthopair fuzzy preference relations, hesitant or interval fuzzy sets, and also stochastic judgments. Here, the decision model is formulated by investigating pairwise comparisons matrices (PCMs) with elements from abelian linearly ordered group (alo-group), which enables unifying multiplicative, additive and fuzzy PCMs. Then we define a novel concept of consistency, coherence and intensity of FPCMs, and propose a number of optimization methods for finding a consistent vector, coherent vector and intensity vector of a FPCM satisfying the desirable properties. Finally, two illustrating examples are discussed.
Czech name
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Czech description
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Classification
Type
J<sub>SC</sub> - Article in a specialist periodical, which is included in the SCOPUS database
CEP classification
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OECD FORD branch
10102 - Applied mathematics
Result continuities
Project
<a href="/en/project/GA21-03085S" target="_blank" >GA21-03085S: Supporting Decision Processes with Pairwise Comparisons and Data Mining</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
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
OPSEARCH - official publication of the Operational Research Society of India
ISSN
0030-3887
e-ISSN
0975-0320
Volume of the periodical
60
Issue of the periodical within the volume
2
Country of publishing house
US - UNITED STATES
Number of pages
18
Pages from-to
1045-1062
UT code for WoS article
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EID of the result in the Scopus database
2-s2.0-85153482875