A New Judging and Revising Method for Ordinal Consistency of Fuzzy Judgment Matrix

Fog computing is meant to deal with the problems which cloud computing cannot solve alone. As the fog is closer to a user, it can improve some very important QoS characteristics, such as a latency and availability. One of the challenges in the fog architecture is heterogeneous constrained devices and the dynamic nature of the end devices, which requires a dynamic service orchestration to provide an efficient service placement inside the fog nodes. An optimization method is needed to ensure the required level of QoS while requiring minimal resources from fog and end devices, thus ensuring the longest lifecycle of the whole IoT system. A two-stage multi-objective optimization method to find the best placement of services among available fog nodes is presented in this paper. A Pareto set of non-dominated possible service distributions is found using the integer multi-objective particle swarm optimization method. Then, the analytical hierarchy process is used to choose the best service distribution according to the application-specific judgment matrix. An illustrative scenario with experimental results is presented to demonstrate characteristics of the proposed method.

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

Asia Pacific Journal of Operational Research ◽

10.1142/s0217595906000966 ◽

2006 ◽

Vol 23 (03) ◽

pp. 329-346 ◽

Cited By ~ 2

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.

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The Research on Computation of Researchers Certainty Factor of Bridge's Durability Evaluation Based on the Indeterminate AHP

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.578-579.1469 ◽

2014 ◽

Vol 578-579 ◽

pp. 1469-1472

Author(s):

Xiao Zhen Chen ◽

Xue Jun Zhang

Keyword(s):

Lower Bound ◽

Similarity Theory ◽

Research Result ◽

Weight Coefficient ◽

Practical Experience ◽

Relative Importance ◽

Certainty Factor ◽

Average Value ◽

Judgment Matrix ◽

Very High

Because of fuzziness, uncertainty of structure and researchers practical experience, it is more practical to express the relative importance of indexes with interval number. Firstly, according to researchers indeterminate judgment matrix, the upper and lower bound matrixes are formed; secondly, the similarity and the differences of the upper and lower bound matrixes of the relative importance matrix from different experts is studied by using the similarity theory of vector; lastly, certainty factor of researchers according to the upper and lower bound matrixes can be calculated, and the average value is regarded as the researchers certainty factor. The certainty factors of researchers upper and lower bound matrixes are consider together, the researchers experience is fully considered and the error from indeterminate judgment matrix to indeterminate judgment matrix is avoided. The result affords basis to calculate the weight coefficient, the research result comparing with the other method showed that the computation accuracy in this paper was very high.

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Research on Material Selection with Multi-Attribute Decision Method and G1 Method

Advanced Materials Research ◽

10.4028/www.scientific.net/amr.952.20 ◽

2014 ◽

Vol 952 ◽

pp. 20-24 ◽

Cited By ~ 2

Author(s):

Xue Jun Xie

Keyword(s):

Material Selection ◽

Selection Process ◽

Selection Problem ◽

Topsis Method ◽

Attribute Weight ◽

Multi Attribute Decision Making ◽

Judgment Matrix ◽

Optimal Material ◽

Selection Of ◽

Better Than

The selection of an optimal material is an important aspect of design for mechanical, electrical, thermal, chemical or other application. Many factors (attributes) need to be considered in material selection process, and thus material selection problem is a multi-attribute decision making (MADM) problem. This paper proposes a new MADM method for material selection problem. G1 method does not need to test consistency of the judgment matrix. Thus it is better than AHP. In this paper, firstly, we use the G1 method to determine the attribute weight. Then TOPSIS method is used to calculate the closeness of the candidate materials with respect positive solution. A practical material selection case is used to demonstrate the effectiveness and feasibility of the proposed method.

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Analytic Hierarchy Process Method Based on the Cask Theory

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.713-715.1610 ◽

2015 ◽

Vol 713-715 ◽

pp. 1610-1614

Author(s):

Yan Li ◽

Xiao Dong Mu ◽

Wei Song ◽

Hui Wei Shi

Keyword(s):

Expert System ◽

Analytic Hierarchy Process ◽

System Performance ◽

Strong Impact ◽

Analytic Hierarchy ◽

Judgment Matrix ◽

Index Value ◽

Analytic Hierarchy Process Method ◽

Hierarchy Process ◽

Process Method

When using the traditional AHP to evaluate the system,the method of endow with weight is to request expert build the judgment matrix of every hierarchies. The method is over-subjective for its overdependence on expert system. In view of this, this paper puts forward an analytic hierarchy process method based on the cask theory. This method penalizes the index whose index value is too low to having a strong impact on overall system performance. Using this method achieves the goal of reducing the subjectivity. Finally, according to the example, this method’s superiority is proved.

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Multicriteria optimization in a fuzzy environment: The fuzzy analytic hierarchy process

Yugoslav journal of operations research ◽

10.2298/yjor1001071g ◽

2010 ◽

Vol 20 (1) ◽

pp. 71-85 ◽

Cited By ~ 6

Author(s):

Milanka Gardasevic-Filipovic ◽

Dragan Saletic

Keyword(s):

Analytic Hierarchy Process ◽

Optimization Problems ◽

Fuzzy Ahp ◽

User Preferences ◽

Analytic Hierarchy ◽

Weighted Sum Method ◽

Fuzzy Environment ◽

Previously Treated ◽

Judgment Matrix ◽

Hierarchy Process

In the paper the fuzzy extension of the Analytic Hierarchy Process (AHP) based on fuzzy numbers, and its application in solving a practical problem, are considered. The paper advocates the use of contradictory test to check the fuzzy user preferences during fuzzy AHP decision-making process. We also propose consistency check and deriving priorities from inconsistent fuzzy judgment matrices to be included in the process, in order to check if the fuzzy approach can be applied in the AHP for the problem considered. An aggregation of local priorities obtained at different levels into composite global priorities for the alternatives based on weighted-sum method is also discussed. The contradictory fuzzy judgment matrix is analyzed. Our theoretical consideration has been verified by an application of commercially available Super Decisions program (developed for solving multi-criteria optimization problems using AHP approach) on the problem previously treated in the literature. The obtained results are compared with those from the literature. The conclusions are given and the possibilities for further work in the field are pointed out.

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