2017
DOI: 10.3390/e19070373
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Objective Weights Based on Ordered Fuzzy Numbers for Fuzzy Multiple Criteria Decision-Making Methods

Abstract: Fuzzy multiple criteria decision-making (FMCDM) methods are techniques of finding the trade-off option out of all feasible alternatives that are characterized by multiple criteria and where data cannot be measured precisely, but can be represented, for instance, by ordered fuzzy numbers (OFNs). One of the main steps in FMCDM methods consist in finding the appropriate criteria weights. A method based on the concept of Shannon entropy is one of many techniques for the determination of criteria weights when obtai… Show more

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Cited by 29 publications
(26 citation statements)
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“…Rather, the weights of the criteria were developed using the entropy method. The entropy method makes it possible to estimate the importance of analyzed criteria describing the considered solution options based on each of their value discrepancies [Lotfi, Fallahnejad, 2010;Kacprzak, 2017].…”
Section: U7mentioning
confidence: 99%
“…Rather, the weights of the criteria were developed using the entropy method. The entropy method makes it possible to estimate the importance of analyzed criteria describing the considered solution options based on each of their value discrepancies [Lotfi, Fallahnejad, 2010;Kacprzak, 2017].…”
Section: U7mentioning
confidence: 99%
“…The next step was to determine the criterion weight vector (Table 9). For this purpose, the entropy method was used [Kacprzak, 2017;Rudnik, Kacprzak, 2017]: E = (e 1 , e 2 , ... e n ),…”
Section: х Mnmentioning
confidence: 99%
“…Entropy measures are useful in computing weights of the criteria, and had been used widely in MCGDM problems [23]. Shannon entropy method constitutes one of the techniques to determine the weight of the criteria when it becomes difficult to be provided by the decision-maker [24]. Through the computation of information entropy of a proposed parameter, its weight is determined according to its relative degree of change that impact on equipment, index with larger degree of relative change as larger weight.…”
Section: The Determination Of the Objective Weights Based On Entropy mentioning
confidence: 99%