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The non-linear problem (7) will be optimized where λ = λ* and W = W*, and the fuzzy judgment will be satisfied if the λ* is positive.
where e jk denotes the membership function of the j th criterion in regard of the k th decision maker thought in the fuzzy judgment matrix.
Calculations of explicit equations were performed so as to assisting in measuring the aesthetic characteristics; next, a fuzzy judgment was invoked to calculate the perceptual aesthetic measures of a product style so as to establish the overall aesthetic standard for the product.
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Also, it can be applied as the consistency measure of the initial set of fuzzy judgments.
When the value of λ* is negative, the solution ratios approximately satisfy all double-side inequalities (1), that means, the fuzzy judgments are inconsistent.
When the typical AHP is extended by using fuzzy numbers to evaluate the opinions of decision makers, the consistency of fuzzy judgments is worth to be considered.
To this end, we present an integrated methodology based on the synthetic value of fuzzy judgments and nonlinear programming (SVFJ NLP).
The traditional AHP requires crisp judgments and also due to the complexity and uncertainty involved in real world decision problems, a decision maker (DM) may sometimes feel more confident to provide fuzzy judgments rather than crisp comparisons.
This procedure is applied to determine the crisp judgments into fuzzy judgments [ 34].
The fuzzy comparison judgment matrices are formulated according to the suggestions of the maintenance staff, which is included in Additional file 1: Annexure A. Fig. 5 Hierarchy structure.
In this paper, an approach combines the RBR and fuzzy comprehensive judgment method is proposed for reasoning suitable locating schemes and locating features.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com