2015
DOI: 10.1155/2015/938535
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A New Method Based on TOPSIS and Response Surface Method for MCDM Problems with Interval Numbers

Abstract: As the preference of design maker (DM) is always ambiguous, we have to face many multiple criteria decision-making (MCDM) problems with interval numbers in our daily life. Though there have been some methods applied to solve this sort of problem, it is always complex to comprehend and sometimes difficult to implement. The calculation processes are always ineffective when a new alternative is added or removed. In view of the weakness like this, this paper presents a new method based on TOPSIS and response surfa… Show more

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Cited by 24 publications
(14 citation statements)
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References 33 publications
(47 reference statements)
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“…Remark 2. The entries of a periodic matrix in one period can be expressed as interval numbers, which are a set of real numbers between two numbers: = [ , ] = { | < < } [43]. Although Lemma 1 was originally given for timeinvariant systems, using the calculus of interval numbers and following the same derivations given in the proof of Lemma 1, one can easily yield the same result for the periodic systems.…”
Section: Resultsmentioning
confidence: 98%
“…Remark 2. The entries of a periodic matrix in one period can be expressed as interval numbers, which are a set of real numbers between two numbers: = [ , ] = { | < < } [43]. Although Lemma 1 was originally given for timeinvariant systems, using the calculus of interval numbers and following the same derivations given in the proof of Lemma 1, one can easily yield the same result for the periodic systems.…”
Section: Resultsmentioning
confidence: 98%
“…(3) As it is difficult to show the applicability and trustworthiness of a newly proposed method, hence it is necessary to assess it in solving several MCDM problems. Wang et al [54] asserted a comparison which is only way to apprehend the validity of newly proposed MCDM model (here, IVIF-CODAS). To justify any proposed approach, one has to compare it with several related approaches for the same problem.…”
Section: Results Discussionmentioning
confidence: 99%
“…As it is not easy to prove that a newly proposed method is applicable, it is useful to test it in solving several multiple criteria problems. To make sure that the method is better or at least it is not worse than the other existing methods, it is appropriate to apply several related approaches to compare their ranking results for the same problem [70]. Accordingly, two illustrative examples have been presented to fulfill the task.…”
Section: Discussionmentioning
confidence: 99%