Detailed Information on Publication Record
2021
Deriving Priority Vector From Pairwise Comparisons Matrix With Fuzzy Elements
RAMÍK, JaroslavBasic information
Original name
Deriving Priority Vector From Pairwise Comparisons Matrix With Fuzzy Elements
Name in Czech
Stanovení prioritního vektoru z matice párových porovnání s fuzzy prvky
Authors
RAMÍK, Jaroslav (203 Czech Republic, guarantor, belonging to the institution)
Edition
Fuzzy Sets and Systems An International Journal in Information Science and Engeneering, Amsterdam, Elsevier, 2021, 0165-0114
Other information
Language
English
Type of outcome
Článek v odborném periodiku
Field of Study
10102 Applied mathematics
Country of publisher
Netherlands
Confidentiality degree
není předmětem státního či obchodního tajemství
References:
RIV identification code
RIV/47813059:19520/21:A0000185
Organization unit
School of Business Administration in Karvina
UT WoS
000691786300004
Keywords (in Czech)
vícekriteriální optimalizace; matice párových porovnání; fuzzy prvky; alo-grupy
Keywords in English
multi-criteria optimization; pair-wise comparisons matrix; fuzzy elements; alo-group
Tags
Links
GA18-01246S, research and development project.
Změněno: 11/4/2022 07:08, Miroslava Snopková
Abstract
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.