Desirable Properties of Weighting Vector in Pairwise Comparisons Matrix With Fuzzy Elements

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19520%2F20%3AA0000121" target="_blank" >RIV/47813059:19520/20:A0000121 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Desirable Properties of Weighting Vector in Pairwise Comparisons Matrix With Fuzzy Elements
Original language description
We deal with pairwise comparisons matrix with fuzzy elements (FPCM). Fuzzy elements are appropriate whenever the decision maker (DM) is uncertain about the value of his/her evaluation of the relative importance of elements in question, or, when aggregating crisp pairwise comparisons of a group of decision makers in the group DM problem. The problem is formulated in a general setting investigating pairwise comparisons matrices with elements from abelian linearly ordered group (alo-group). Such an approach enables extensions of traditional multiplicative, additive or fuzzy approaches. Continuing our research in cite{Ramik2018}, here we propose a new order preservation concept based on alpha-cuts. Then we define an innovative concept of (weak) consistency of FPCMs, propose some desirable properties of priority vectors, and derive necessary and sufficient conditions for the existence of coherent vector (CV) and intensity vector (IV) of a FPCM. Finally, we formulate the optimization problem and derive the priority vector with the desirable properties. Illustrating examples are presented and discussed.
Czech name
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Czech description
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Project
<a href="/en/project/GA18-01246S" target="_blank" >GA18-01246S: Non-standard optimization and decision-making methods in management processes</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
38th International Conference on Mathematical Methods in Economics
ISBN
9788075097347
ISSN
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e-ISSN
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Number of pages
7
Pages from-to
481-487
Publisher name
Mendel University Brno
Place of publication
Brno, Czech Republic,
Event location
Brno
Event date
Sep 10, 2020
Type of event by nationality
CST - Celostátní akce
UT code for WoS article
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