Deriving Priority Vector From Pairwise Comparisons Matrix With
Fuzzy Elements

J 2021

Deriving Priority Vector From Pairwise Comparisons Matrix With Fuzzy Elements

RAMÍK, Jaroslav

Základní údaje

Originální název

Deriving Priority Vector From Pairwise Comparisons Matrix With Fuzzy Elements

Název česky

Stanovení prioritního vektoru z matice párových porovnání s fuzzy prvky

Autoři

RAMÍK, Jaroslav (203 Česká republika, garant, domácí)

Vydání

Fuzzy Sets and Systems An International Journal in Information Science and Engeneering, Amsterdam, Elsevier, 2021, 0165-0114

Další údaje

Jazyk

angličtina

Typ výsledku

Článek v odborném periodiku

Obor

10102 Applied mathematics

Stát vydavatele

Nizozemské království

Utajení

není předmětem státního či obchodního tajemství

Odkazy

URL

Kód RIV

RIV/47813059:19520/21:A0000185

Organizační jednotka

Obchodně podnikatelská fakulta v Karviné

DOI

http://dx.doi.org/10.1016/j.fss.2020.11.022

UT WoS

000691786300004

Klíčová slova česky

vícekriteriální optimalizace; matice párových porovnání; fuzzy prvky; alo-grupy

Klíčová slova anglicky

multi-criteria optimization; pair-wise comparisons matrix; fuzzy elements; alo-group

Štítky

impakt

Návaznosti

GA18-01246S, projekt VaV.

Změněno: 11. 4. 2022 07:08, Miroslava Snopková

Anotace

V originále

This paper deals with the pairwise comparisons matrix with fuzzy elements (FPCM). Fuzzy elements of the FPCM 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 the pairwise comparisons matrices with elements from abelian linearly ordered group (alo-group) over a real interval, introduce the concept of reciprocity and (weak) consistency of FPCMs and derive their properties. Such an approach unifies several approaches known from the literature. Moreover, we propose a new general procedure for deriving the priority vector from the FPCM enabling ranking or rating a given set of alternatives.

Citovat

RAMÍK, Jaroslav. Deriving Priority Vector From Pairwise Comparisons Matrix With Fuzzy Elements. Fuzzy Sets and Systems An International Journal in Information Science and Engeneering. Amsterdam: Elsevier, 2021, roč. 2021, č. 422, s. 68-82. ISSN 0165-0114. Dostupné z: https://dx.doi.org/10.1016/j.fss.2020.11.022.

@article{45860,
   author = {Ramík, Jaroslav},
   article_location = {Amsterdam},
   article_number = {422},
   doi = {http://dx.doi.org/10.1016/j.fss.2020.11.022},
   keywords = {multi-criteria optimization; pair-wise comparisons matrix; fuzzy elements; alo-group},
   language = {eng},
   issn = {0165-0114},
   journal = {Fuzzy Sets and Systems An International Journal in Information Science and Engeneering},
   title = {Deriving Priority Vector From Pairwise Comparisons Matrix With Fuzzy Elements},
   url = {http://www.sciencedirect.com/science/article/pii/S0165011420304668?via%3Dihub},
   volume = {2021},
   year = {2021}
}

TY  - JOUR
ID  - 45860
AU  - Ramík, Jaroslav
PY  - 2021
TI  - Deriving Priority Vector From Pairwise Comparisons Matrix With Fuzzy Elements
JF  - Fuzzy Sets and Systems An International Journal in Information Science and Engeneering
VL  - 2021
IS  - 422
SP  - 68-82
EP  - 68-82
PB  - Elsevier
SN  - 01650114
KW  - multi-criteria optimization
KW  - pair-wise comparisons matrix
KW  - fuzzy elements
KW  - alo-group
UR  - http://www.sciencedirect.com/science/article/pii/S0165011420304668?via%3Dihub
N2  - This paper deals with the pairwise comparisons matrix with fuzzy elements (FPCM). Fuzzy elements of the FPCM 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 the pairwise comparisons matrices with elements from abelian linearly ordered group (alo-group) over a real interval, introduce the concept of reciprocity and (weak) consistency of FPCMs and derive their properties. Such an approach unifies several approaches known from the literature. Moreover, we propose a new general procedure for deriving the priority vector from the FPCM enabling ranking or rating a given set of alternatives.
ER  -

RAMÍK, Jaroslav. Deriving Priority Vector From Pairwise Comparisons Matrix With Fuzzy Elements. \textit{Fuzzy Sets and Systems An International Journal in Information Science and Engeneering}. Amsterdam: Elsevier, 2021, roč.~2021, č.~422, s.~68-82. ISSN~0165-0114. Dostupné z: https://dx.doi.org/10.1016/j.fss.2020.11.022.

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