Incomplete preference matrix on Alo-group and its application to ranking of alternatives

2016 ◽  
Vol 9 (4) ◽  
pp. 412 ◽  
Author(s):  
Jaroslav Ramík
Keyword(s):  
Incomplete Preference ◽  
Ranking Of Alternatives ◽  
Preference Matrix

An Interactive Signed Distance Approach for Multiple Criteria Group Decision-Making Based on Simple Additive Weighting Method with Incomplete Preference Information Defined by Interval Type-2 Fuzzy Sets

2014 ◽  
Vol 13 (05) ◽  
pp. 979-1012 ◽  
Author(s):  
Ting-Yu Chen
Keyword(s):  
Decision Making ◽  
Group Decision Making ◽  
Group Decision ◽  
Preference Information ◽  
Incomplete Preference ◽  
Signed Distance ◽  
Decision Making Problem ◽  
Simple Additive Weighting ◽  
Interval Type

Interval type-2 fuzzy sets (T2FSs) with interval membership grades are suitable for dealing with imprecision or uncertainties in many real-world problems. In the Interval type-2 fuzzy context, the aim of this paper is to develop an interactive signed distance-based simple additive weighting (SAW) method for solving multiple criteria group decision-making problems with linguistic ratings and incomplete preference information. This paper first formulates a group decision-making problem with uncertain linguistic variables and their transformation to interval type-2 trapezoidal fuzzy numbers. Concerning the relative importance of multiple decision-makers and group consensus of fuzzy opinions, a procedure using hybrid averages is then employed to construct a collective decision matrix. By an appropriate extension of the classical SAW approach, this paper utilizes the concept of signed distances and establishes an integrated programming model to manage multi-criteria group decisions under the incomplete and inconsistent preference structure. Further, an interactive procedure is established for group decision making. Finally, the feasibility and effectiveness of the proposed methods are illustrated by a collaborative decision-making problem of patient-centered care (PCC).

ADJUSTING ORDINAL AND CARDINAL INCONSISTENCIES IN DECISION PREFERENCES BASED ON GOWER PLOTS

2006 ◽  
Vol 23 (03) ◽  
pp. 329-346 ◽  
Author(s):  
HAN-LIN LI ◽  
LI-CHING MA
Keyword(s):  
Decision Maker ◽  
Multi Objective ◽  
Pairwise Preference ◽  
Graphical Tool ◽  
Ordinal Consistency ◽  
Preference Matrix ◽  
Objective Program

Gower plots provide a powerful graphical tool to detect cardinal and ordinal inconsistencies in a pairwise preference matrix. However, there is no systematical way to help a decision maker to reduce these inconsistencies. This paper develops a model that can assist in making a consistent decision. Gower plots are used to detect major inconsistencies. A multi-objective program is then formulated to adjust both the cardinal inconsistencies and the preference changes subjected to the constraints of ordinal consistency.

scholarly journals Uncertainty of the implementation time of geodynamic monitoring system in multi-criteria ranking of alternatives

2020 ◽  
Vol 17 (3) ◽  
pp. 1249
Author(s):  
O.R. Kuzichkin ◽  
I.V. Loginov ◽  
V.T. Eremenko ◽  
S. V. Eremenko ◽  
G.S. Vasilyev ◽  
...  
Keyword(s):  
Monitoring System ◽  
Time Factors ◽  
Monitoring Systems ◽  
Time Varying ◽  
Functional Characteristics ◽  
Quality Properties ◽  
Geodynamic Monitoring ◽  
Implementation Time ◽  
Ranking Of Alternatives ◽  
Technical Solutions

<p>The paper deals with the problem of ranking alternatives to geodynamic monitoring systems in the case of uncertainty of their implementation time. The problem is characterized by the fact that the choice of alternatives and the effect of it depends on the quality properties of the applied organizational and technical solutions, taking into account the time of implementation. The ordering of alternatives is proposed taking into account the uncertainty of the implementation time factors. Ranking is realized by comparing the trees of functional characteristics of alternatives taking into account the compliance of their characteristics with time-varying requirements. The scope of the proposed method is the choice of configurations of geodynamic monitoring systems with significant differences in the implementation time of alternatives.</p>

Meaningful Composite Benefit Measures

1975 ◽  
Vol 19 (4) ◽  
pp. 381-387
Author(s):  
David L. Bitters ◽  
Gordon M. Clark
Keyword(s):  
Functional Form ◽  
Ranking Of Alternatives ◽  
The Individual ◽  
System Analyst

The structure of composite benefit measures that provide an overall ranking of alternatives for the system analyst is investigated. These composite benefit measures are functions of individual benefit measures, and the individual benefit measures may give conflicting rankings of the various alternatives. A functional form for the composite benefit measure is identified that is symantically meaningful and avoids scaling problems. In addition a method for estimating coefficients in this composite benefit measure is outlined.

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