Uncertain Fuzzy Preference Relations and Their Applications by Zaiwu Gong PDF

By Zaiwu Gong

ISBN-10: 3642284477

ISBN-13: 9783642284472

ISBN-10: 3642284485

ISBN-13: 9783642284489

On the root of fuzzy units and a few in their correct generalizations, this booklet systematically provides the elemental ideas and purposes of workforce selection making lower than varied situations of choice kinfolk. by utilizing intuitionistic wisdom because the box of discourse, this paintings investigates through the use of cutting edge study capability the elemental ideas and strategies of workforce choice making with a variety of various intuitionistic personal tastes: Mathematical reasoning is hired to review the consistency of staff selection making; equipment of fusing info are utilized to examine the aggregation of a number of personal tastes; thoughts of soppy computing and optimization are applied to look for passable determination choices.

each one bankruptcy follows the next structurally transparent structure of presentation: literature assessment, improvement of easy idea, verification and reasoning of ideas , building of types and computational schemes, and numerical examples, which conceal such parts as expertise, company competitiveness, number of airways, specialists selection making in weather-sensitive firms, and so on.

by way of theoretical rules, this ebook can be utilized as a reference for researchers within the parts of administration technology, details technology, platforms engineering, operations examine, and different suitable fields. it may even be hired as textbook for top point undergraduate scholars and graduate scholars. by way of functions, this publication may be an excellent spouse for all these determination makers in executive, enterprise, and know-how parts.

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Extra resources for Uncertain Fuzzy Preference Relations and Their Applications

Example text

6 100% x1 100% x3 100% x4. Conclusions Consistency properties and priority methods have represented some of the elementary and important issues in the fields of decision makers’ judgments. In this chapter, we first constructed the transformation relationship between IFNRPRs and the INFPRs. Then, we developed the properties of the additively consistent and the multiplicatively consistent INFPRs, while showing the relationship among these properties. 31) to obtain the priority vector for the collective IFNCPRs.

This row is also the second row of P. So x1 is superior to x4 . Step 6: By deleting the fourth row and the fourth column and the first row and the first column in P, we get P 2 as follows: ⎛0 1⎞ P2 =⎜ ⎟. ⎝0 0⎠ Step 7: Search the 0 row vector in P 2 . Obviously, the entries of the second row are all 0. This row is the third row in P. So x3 is superior to x1 . Step 8: By deleting the fourth row and the fourth column, the first row and the first column, and the third row and the third column in P, we get P 3 = (0) .

8. Let R = (rij ) n× n be a FNPR. 5 implies rikl ≥ max{rijl , rjkl } , riku ≥ max{riju , rjku } . 9. Let R = (rij ) n× n be a FNPR. 5 implies rikl ≥ min{rijl , rjkl } , riku ≥ min{riju , rjku } . 4. If a FNPR satisfies the property of additive consistency, then it also have the property of restricted max-max transitivity. Proof. 5 . 5 . Thus rikl ≥ rijl , rikl ≥ rjkl ; riku ≥ riju , riku ≥ rjku . QED. 2. If a FNPR satisfies the property of additive consistency, then it also satisfies the property of restricted max-min transitivity.

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Uncertain Fuzzy Preference Relations and Their Applications by Zaiwu Gong


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