1 / 18

# Incomplete Linguistic Preference Relations and Their Fusion - PowerPoint PPT Presentation

Incomplete Linguistic Preference Relations and Their Fusion. Information Fusion, vol. 7, no. 3, pp. 331-337, 2006. Zeshui Xu 報告者 : 王志煌 96.7.25. Outline. Introduction Main Results Illustrative Example Conclusions. Introduction. Preference Relation. AHP. Introduction (Cont.).

I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.
Download Presentation

## PowerPoint Slideshow about ' Incomplete Linguistic Preference Relations and Their Fusion' - thalia

An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.

- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript

### Incomplete Linguistic Preference Relations and Their Fusion

Information Fusion, vol. 7, no. 3, pp. 331-337, 2006.

Zeshui Xu

96.7.25

• Introduction

• Main Results

• Illustrative Example

• Conclusions

Preference Relation

AHP

Satisfy additive transitivity:

Multi-Person Decision Making Based on the Acceptable Incomplete Linguistic Preference Relations with the Least Judgments

Example Incomplete Linguistic Preference Relations with the Least Judgments

• The evaluation of eight schools xi (i = 1, 2, …, 8) of a university

• There are three decision makers dk (k = 1, 2, 3), whose weight vector x = (0.5, 0.3, 0.2)T.

• Step 1:

Step 2: Utilize the known elements in A Incomplete Linguistic Preference Relations with the Least Judgmentsk (k = 1,2,3) and Eq. (2) to determine all the unknown elements in Ak (k = 1,2,3):

Step 3: Utilize Eq. (3) to fuse all the consistent complete linguistic preference relations into a collective complete linguistic preference relation

Conclusions linguistic preference relations into a collective complete linguistic preference relation

• In this paper, Xu has developed a simple and practical method, which utilizes the acceptable incomplete linguistic preference relation with the least judgments (i.e., n-1 judgments) to construct a consistent complete linguistic preference relation.

• In this paper, Xu has also developed an approach to multi-person decision making based on the acceptable incomplete linguistic preference relations with the least judgments.

Thank You linguistic preference relations into a collective complete linguistic preference relation