Strong reciprocity and strong consistency in pairwise comparison matrix with fuzzy elements
Identifikátory výsledku
Kód výsledku v IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19520%2F18%3A00010976" target="_blank" >RIV/47813059:19520/18:00010976 - isvavai.cz</a>
Výsledek na webu
<a href="http://dx.doi.org/10.1007/s10700-017-9273-0" target="_blank" >http://dx.doi.org/10.1007/s10700-017-9273-0</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s10700-017-9273-0" target="_blank" >10.1007/s10700-017-9273-0</a>
Alternativní jazyky
Jazyk výsledku
angličtina
Název v původním jazyce
Strong reciprocity and strong consistency in pairwise comparison matrix with fuzzy elements
Popis výsledku v původním jazyce
The decision making problem considered in this paper is to rank n alternatives from the best to the worst, using the information given by the decision maker in the form of an pairwise comparison matrix. Here, we deal with pairwise comparison matrices with fuzzy elements. Fuzzy elements of the pairwise comparison matrix are applied whenever the decision maker is not sure about the value of his/her evaluation of the relative importance of elements in question. We investigate pairwise comparison matrices with elements from abelian linearly ordered group (alo-group) over a real interval. The concept of reciprocity and consistency of pairwise comparison matrices with fuzzy elements have been already studied in the literature. Here, we define stronger concepts, namely the strong reciprocity and strong consistency of pairwise comparison matrices with fuzzy intervals as the matrix elements (PCF matrices), derive the necessary and sufficient conditions for strong reciprocity and strong consist ency and investigate their properties as well as some consequences to the problem of ranking the alternatives.
Název v anglickém jazyce
Strong reciprocity and strong consistency in pairwise comparison matrix with fuzzy elements
Popis výsledku anglicky
The decision making problem considered in this paper is to rank n alternatives from the best to the worst, using the information given by the decision maker in the form of an pairwise comparison matrix. Here, we deal with pairwise comparison matrices with fuzzy elements. Fuzzy elements of the pairwise comparison matrix are applied whenever the decision maker is not sure about the value of his/her evaluation of the relative importance of elements in question. We investigate pairwise comparison matrices with elements from abelian linearly ordered group (alo-group) over a real interval. The concept of reciprocity and consistency of pairwise comparison matrices with fuzzy elements have been already studied in the literature. Here, we define stronger concepts, namely the strong reciprocity and strong consistency of pairwise comparison matrices with fuzzy intervals as the matrix elements (PCF matrices), derive the necessary and sufficient conditions for strong reciprocity and strong consist ency and investigate their properties as well as some consequences to the problem of ranking the alternatives.
Klasifikace
Druh
J<sub>imp</sub> - Článek v periodiku v databázi Web of Science
CEP obor
—
OECD FORD obor
10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)
Návaznosti výsledku
Projekt
—
Návaznosti
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Ostatní
Rok uplatnění
2018
Kód důvěrnosti údajů
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Údaje specifické pro druh výsledku
Název periodika
Fuzzy Optimization and Decision Making
ISSN
1568-4539
e-ISSN
1573-2908
Svazek periodika
17
Číslo periodika v rámci svazku
3
Stát vydavatele periodika
US - Spojené státy americké
Počet stran výsledku
19
Strana od-do
337-355
Kód UT WoS článku
000440111800005
EID výsledku v databázi Scopus
2-s2.0-85029713631