Condition of Order Preservation 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%2F18%3A00011194" target="_blank" >RIV/47813059:19520/18:00011194 - 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
Condition of Order Preservation in Pairwise Comparisons Matrix With Fuzzy Elements
Original language description
In this paper we deal with Preference Order Preservation (POP) condition of pairwise comparisons (PC) matrix with fuzzy elements. 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. We formulate the problem in a general setting investigating pairwise comparisons matrices with fuzzy elements from Abelian linearly ordered group (alo-group). Such an approach enables extensions of traditional multiplicative, additive or fuzzy approaches. Then we propose new order preservation concept based on alpha-cuts. We define the concept of consistency of PC matrix with fuzzy elements (PCF matrices), generalize the concept of the preference order preservation condition (POP condition) to PCF matrices defining weak POP and strong POP condition and derive sufficient conditions for POP co ndition to be met. Finally, we discuss a numerical example in order to illustrate the proposed concepts and properties.
Czech name
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Czech description
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Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
36-th International Conference Mathematical Methods in Economics 2018
ISBN
978-80-7378-372-3
ISSN
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e-ISSN
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Number of pages
6
Pages from-to
457-462
Publisher name
Silesian Univeristy in Opava, SBA Karviná
Place of publication
Praha, CZ
Event location
Jindrichuv Hradec
Event date
Sep 12, 2018
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
000427151400094

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