A fuzzy extension of Analytic Hierarchy Process based on the constrained fuzzy arithmetic
Identifikátory výsledku
Kód výsledku v IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F17%3A73579585" target="_blank" >RIV/61989592:15310/17:73579585 - isvavai.cz</a>
Výsledek na webu
<a href="https://link.springer.com/article/10.1007%2Fs10700-016-9241-0" target="_blank" >https://link.springer.com/article/10.1007%2Fs10700-016-9241-0</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s10700-016-9241-0" target="_blank" >10.1007/s10700-016-9241-0</a>
Alternativní jazyky
Jazyk výsledku
angličtina
Název v původním jazyce
A fuzzy extension of Analytic Hierarchy Process based on the constrained fuzzy arithmetic
Popis výsledku v původním jazyce
The aim of the paper is to highlight the necessity of applying the concept of constrained fuzzy arithmetic instead of the concept of standard fuzzy arithmetic in a fuzzy extension of Analytic Hierarchy Process (AHP). Emphasis is put on preserving the reciprocity of pairwise comparisons during the computations. For deriving fuzzy weights from a fuzzy pairwise comparison matrix, we consider a fuzzy extension of the geometric mean method and simplify the formulas proposed by Enea and Piazza (Fuzzy Optim Decis Mak 3:39–62, 2004). As for the computation of the overall fuzzy weights of alternatives, we reveal the inappropriateness of applying the concept of standard fuzzy arithmetic and propose the proper formulas where the interactions among the fuzzy weights are taken into account. The advantage of our approach is elimination of the false increase of uncertainty of the overall fuzzy weights. Finally, we advocate the validity of the proposed fuzzy extension of AHP; we show by an illustrative example that by neglecting the information about uncertainty of intensity of preferences we lose an important part of knowledge about the decision making problem which can cause the change in ordering of alternatives.
Název v anglickém jazyce
A fuzzy extension of Analytic Hierarchy Process based on the constrained fuzzy arithmetic
Popis výsledku anglicky
The aim of the paper is to highlight the necessity of applying the concept of constrained fuzzy arithmetic instead of the concept of standard fuzzy arithmetic in a fuzzy extension of Analytic Hierarchy Process (AHP). Emphasis is put on preserving the reciprocity of pairwise comparisons during the computations. For deriving fuzzy weights from a fuzzy pairwise comparison matrix, we consider a fuzzy extension of the geometric mean method and simplify the formulas proposed by Enea and Piazza (Fuzzy Optim Decis Mak 3:39–62, 2004). As for the computation of the overall fuzzy weights of alternatives, we reveal the inappropriateness of applying the concept of standard fuzzy arithmetic and propose the proper formulas where the interactions among the fuzzy weights are taken into account. The advantage of our approach is elimination of the false increase of uncertainty of the overall fuzzy weights. Finally, we advocate the validity of the proposed fuzzy extension of AHP; we show by an illustrative example that by neglecting the information about uncertainty of intensity of preferences we lose an important part of knowledge about the decision making problem which can cause the change in ordering of alternatives.
Klasifikace
Druh
J<sub>imp</sub> - Článek v periodiku v databázi Web of Science
CEP obor
—
OECD FORD obor
10103 - Statistics and probability
Návaznosti výsledku
Projekt
<a href="/cs/project/GA14-02424S" target="_blank" >GA14-02424S: Metody operačního výzkumu pro podporu rozhodování v podmínkách neurčitosti</a><br>
Návaznosti
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Ostatní
Rok uplatnění
2017
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
—
Svazek periodika
16
Číslo periodika v rámci svazku
1
Stát vydavatele periodika
US - Spojené státy americké
Počet stran výsledku
22
Strana od-do
89-110
Kód UT WoS článku
000394369100005
EID výsledku v databázi Scopus
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