AHP Excel Template Update Version 2018-09-15

A new version of of the AHP Excel template with some major updates is now available for download. Based on the work of Tomashevskii (2014, 2015), errors for the resulting priorities/weights are shown.

Calculated weights with error indication

In addition the overall dissonance (ordinal inconsistency) according to Sajid Siraj (2011) is indicated. The zip file for download also contains the updated manual, showing the calculations and references.

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AHP Excel Template Update Version 2018-08-22

In this latest version of the template, the balanced scale was replaced by the generalized balanced scale (balanced-n), and the adaptive scale was added. The maximum number of iterations for the power method was increased from 12 to 20.

If you need inputs for more than 20 participants, please contact the author. A version for up to 225 participants is available.

Go to download page.

For more information about AHP scales, please read my paper Comparison of Judgment Scales.

AHP Judgment Scales

A revised version of my paper can now be downloaded:

Goepel, K.D., Comparison of Judgment Scales
of the Analytical Hierarchy Process - A New Approach, Preprint of an article submitted for consideration in International Journal of Information Technology and Decision Making © 2017 World Scientific Publishing Company http://www.worldscientific.com/worldscinet/ijitdm (2017)

Welcome to BPMSG – Jan 2018

Concepts, Methods and Tools to manage Business Performance

Dear Friends, dear Visitors,

I wish all of you a Happy and Prosperous New Year 2018!

From July 13th to 15th the International Symposium on the Analytic Hierarchy Process (ISAHP) for Decision Making takes place in Hong Kong. Poster submission is possible from Nov 1st, 2017 to Mar 15th, 2018 and individual paper submission from Nov 1st, 2017 to Mar 6th. Early registration deadline May 15th, 2018. More Information about the ISAHP 2018 can be found on their website.

After my last participation in 2013, I plan to attend the conference in July. If you want to meet me personally, feel free to contact me. I submitted an individual paper about the implementation of my AHP-OS software; it is a short version of my detailed working paper. In additon I will probably submit a short version of my paper Comparison of Judgment Scales of the Analytical Hierarchy Process – A New Approach. This paper was submitted to the International Journal of Information Technology and Decision Making in June 2017, and is under review since then. All attempts to contact the editors and to find out, why the review process takes so long, were unsuccessful.

My AHP-OS software has now reached nearly 6000 registrations since its implementation in 2014. It should be quite stable and without major bugs. Unfortunately, there is still a minor sporadic problem with the storage of pairwise comparisons. It appears in 1 out of 1000 projects that a set pairwise comparisons just disappears. I am still trying to find the reason, kindly contact me, when this happens to you, and let me know the circumstances (It seems to have something to do with the browser and stored session data).

Please continue to support my effort, either with a donation, or at least give a 1 (poor) to 5 (excellent) rating to my web posts, which will help me to get some feedback on my work.

For now, please enjoy your visit on the site and feel free to leave a comment – it is always appreciated.

Klaus

Klaus D. Goepel,

Singapore, Jan 2018

BPMSG stands for Business Performance Management Singapore. As of now, it is a non-commercial website, and information is shared for educational purposes. Please see licensing conditions and terms of use.

 

AHP Consensus Indicator

The AHP consensus indicator, based on Shannon beta entropy (e.q. 1.1) for n criteria and k decision makers, was introduced in [1].

(1.1) Shannon beta entropy:

(1.2) Shannon alpha entropy:

(1.3) Shannon gamma entropy:

with

The similarity measure S (eq. 1.4) depends on the number of criteria, and we used a linear transformation to map it to a range from 0 to 1 (eq. 1.5)

(1.4)

(1.5) Consensus (0% to 100%):

In general Dα min = 1 and Dγ max = n. In the analytic hierarchy process (AHP) Dα min is a function of the maximum scale value M (M = 9 for the fundamental AHP scale) and the number of criteria n (eq. 1.6). The calculation of Dγ max was based on the assumption that respondents compare one distinct criterion M‑times more important than all others (eq. 1.7).

(1.6)

(1.7)

This assumption is actually an unnecessary constrain, because even when the number of decision makers is less than the number of criteria, both  can prioritize a complementing set of criteria as most important and as a result all consolidated criteria weights are equal. Therefore eq. 1.7 can be simplified to:

 (1.8)

As a result we get the AHP consensus indicator with:

(1.9)

(1.10) AHP Consensus: Equation (1.10) is used in the latest updated of the AHP excel template and the AHP-OS online software.

Reference

[1] Klaus D. Goepel, (2013). Implementing the Analytic Hierarchy Process as a Standard Method for Multi-Criteria Decision Making In Corporate Enterprises – A New AHP Excel Template with Multiple Inputs, Proceedings of the International Symposium on the Analytic Hierarchy Process, Kuala Lumpur 2013

AHP-OS Quick Reference Guide

As I know from my own experience, manuals are seldomly read. On the other hand, a short guideline to complex software can be helpful, to use it effectively. I summarised the main menus of AHP-OS in a four page quick reference guide. The full manual is still available from the AHP-OS entry page (needs update …), and all details regarding methods and calculations are shown in my working paper about the AHP-OS software implemetation.

 

AHP-OS Hierarchy Evaluation with Partial Inputs from Participants

With the latest update of my AHP online software it is now possible to save judgments (pairwise comparisons) without completing the whole hierarchy evaluation. There are two scenarios, where this could be useful:

  1. You have a complex hierarchy with many nodes to be evaluated. Now participants can start a partial evaluation, save the judgments and complete the remaining nodes at a later time.
  2. As a participant you are only expert for a subset of nodes in the decision hierarchy. As a chair you can now ask participants to give their inputs for a few nodes of their expertise only.

Pairwise comparison input is started as usually: either using the link provided on the project session page, or using the link AHP Group Session on the AHP-OS main entry page. After providong session code and name, in case the participant hasn’t given any input, a message Ok. Group has x participants. Click “Go” to continue will be displayed. Nodes without judgment show the AHP button with red outline.

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Welcome to BPMSG – September 2017

Concepts, Methods and Tools to manage Business Performance

Dear Friends, dear Visitors,

Over the last three months I did a lot of under-the-hood changes and clean-up on the website to improve safety and user experience. As you may have noticed, the protocol is now https: the web traffic is encrypted using an SSL client certificate. After some tweaking the page performance could be improved significantly, loading time is nearly reduced by half. All pages, including my AHP-OS online software and the diversity calculator, were made mobile friendly, though I don’t recommend to use AHP-OS on a small mobile phone screen.

In addition some new features were added to the AHP-OS online software:

I also wrote a paper about the AHP software implementation, where you can find a description of the structure and all mathematical formulas and references. Please make a reference to this paper, when you use the software in your work to be published.

Kindly support my effort, either with a donation, or at least give a 1 (poor) to 5 (excellent) rating to my web posts, which will help me to get some feedback on my work.

For now, please enjoy your visit on the site and feel free to leave a comment – it is always appreciated.

Klaus

Klaus D. Goepel,

Singapore, September 2017

BPMSG stands for Business Performance Management Singapore. As of now, it is a non-commercial website, and information is shared for educational purposes. Please see licensing conditions and terms of use.

 

Last update: Sep 14, 2017 Author: Klaus D. Goepel, BPMSG, Contact

AHP-OS now secured with HTTPS

My online software AHP-OS is mainly used in research. Projects handled with AHP-OS cover a wide range of applications like healthcare, climate, risk assessment, supplier selection, hiring, IT, marketing, environment, transport, project management, manufacturing or quality assurance. Some of these projects could contain sensitive data. Therefore I finally decided to secure the site with HTTPS to protect the site and users.

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AHP-OS Update Version 2017-08-31

The latest update of AHP-OS comprises of some minor changes to make the program flow easier to understand for participants w/o background in AHP.

  • The group session input screen does no longer show the headline to login or register, as for participants there is no need to be registered.
  • The text introduction was shortened to two and a half line of text.
  • Menu buttons intended to be clicked are highlighted.

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