Research Article | OPEN ACCESS
Extension VIKOR for Priority Orders Based on Three Parameters Interval Fuzzy Number
1, 2Qian Zhang, 1Guiming Chen, 2Ning Yan and 2Baozhong Su
1Xi’an Research Institute of High-Tech, Xi’an 710025, China
2Beijing Research Institute of High-Tech, Beijing 100085, China
Research Journal of Applied Sciences, Engineering and Technology 2013 20:4931-4935
Received: September 30, 2012 | Accepted: December 11, 2012 | Published: May 15, 2013
Abstract
In this study, an improved VIKOR method was presented to deal with multi-attribute decision-making based on three parameters interval fuzzy number. The attribute weights were unknown but alternative priority of object preference was given. A new non-linear rewards and punishment method in positive interval was proposed to make the attributes normal, information covered reliability and relative superiority degree two methods were used to compare and sort the Three Parameters Interval Fuzzy Number (TPIFN) and a quadratic programming based on contribution was constructed to get attribute weights, then defined the information entropy distance between TPIFN and the optimum object orders was obtained by VIKOR. The numerical example was provided to demonstrate the feasibility and validity.
Keywords:
Multiple attribute decision making, priority orders of preference, rewarding and punishing strategy, three parameters interval fuzzy number, VIKOR,
Competing interests
The authors have no competing interests.
Open Access Policy
This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
Copyright
The authors have no competing interests.
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ISSN (Online): 2040-7467
ISSN (Print): 2040-7459 |
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