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Multiple Goal Linear Programming-Based Decision Preference Inconsistency Recognition and Adjustment Strategies

School of Business, Ningbo University, Ningbo 315211, China
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Information 2019, 10(7), 223; https://doi.org/10.3390/info10070223
Received: 25 April 2019 / Revised: 27 May 2019 / Accepted: 27 June 2019 / Published: 1 July 2019
(This article belongs to the Section Information Theory and Methodology)
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Abstract

The purpose of this paper is to enrich the decision preference information inconsistency check and adjustment method in the context of capacity-based multiple criteria decision making. We first show that almost all the preference information of a decision maker can be represented as a collection of linear constraints. By introducing the positive and negative deviations, we construct the the multiple goal linear programming (MGLP)-based inconsistency recognition model to find out the redundant and contradicting constraints. Then, based on the redundancy and contradiction degrees, we propose three types of adjustment strategies and accordingly adopt some explicit and implicit indices w.r.t. the capacity to test the implementation effect of the adjustment strategy. The empirical analyses verify that all the strategies are competent in the adjustment task, and the second strategy usually costs relatively less effort. It is shown that the MGLP-based inconsistency recognition and adjustment method needs less background knowledge and is applicable for dealing with some complicated decision preference information. View Full-Text
Keywords: decision preference information; capacity; inconsistency check and adjustment; multiple goal linear programming; volume of feasible range decision preference information; capacity; inconsistency check and adjustment; multiple goal linear programming; volume of feasible range
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Wu, J.-Z.; Huang, L.; Xi, R.-J.; Zhou, Y.-P. Multiple Goal Linear Programming-Based Decision Preference Inconsistency Recognition and Adjustment Strategies. Information 2019, 10, 223.

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