Strong reciprocity and strong consistency in pairwise comparison matrix with fuzzy elements
The result's identifiers
Result code in 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>
Result on the web
<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>
Alternative languages
Result language
angličtina
Original language name
Strong reciprocity and strong consistency in pairwise comparison matrix with fuzzy elements
Original language description
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.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)
Result continuities
Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Fuzzy Optimization and Decision Making
ISSN
1568-4539
e-ISSN
1573-2908
Volume of the periodical
17
Issue of the periodical within the volume
3
Country of publishing house
US - UNITED STATES
Number of pages
19
Pages from-to
337-355
UT code for WoS article
000440111800005
EID of the result in the Scopus database
2-s2.0-85029713631