On various approaches to normalization of interval and fuzzy weights
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F14%3A33148930" target="_blank" >RIV/61989592:15310/14:33148930 - isvavai.cz</a>
Result on the web
<a href="http://www.sciencedirect.com/science/article/pii/S0165011413003448" target="_blank" >http://www.sciencedirect.com/science/article/pii/S0165011413003448</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.fss.2013.07.026" target="_blank" >10.1016/j.fss.2013.07.026</a>
Alternative languages
Result language
angličtina
Original language name
On various approaches to normalization of interval and fuzzy weights
Original language description
The paper deals with the problem of fuzzification of the procedure of normalization of weights. First, the existing methods for normalization of interval and fuzzy weights are reviewed. Second, we study the problem of normalization of a fuzzy vector of weights that expresses the joint possibility distribution of initial weights. We show that a correct way is to apply the extension principle proposed by Zadeh, since the result of such normalization is the fuzzy vector of normalized weights that expressesthe true joint possibility distribution of normalized weights. Further, we establish some properties of this approach to normalization that are important from the point of view of real applications. Finally, since an n-tuple of non-interactive intervalor fuzzy weights can be viewed as a fuzzy vector of weights of a special kind, we investigate normalization of such kind of fuzzy vectors of weights according to the extension principle. We show that from the point of view of the way of m
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
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Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Fuzzy Sets and Systems
ISSN
0165-0114
e-ISSN
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Volume of the periodical
243
Issue of the periodical within the volume
MAY
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
21
Pages from-to
110-130
UT code for WoS article
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EID of the result in the Scopus database
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