Jiri, Mazurek (2012): Some Notes on Inconsistence and Indecisiveness in the Analytic Hierarchy Process.
Download (134kB) | Preview
The aim of the article is to introduce a mathematical concept of indecisiveness into the analytic hierarchy process (AHP) framework. Indecisiveness can be useful in two ways: first, decision makers with high indecisiveness (higher than a given threshold value) can be excluded from a decision making process in its early stages as low-competent and replaced by other, more competent DMs; second, indecisiveness along with consistency index C.I. can be used for the calculation of (aposteriori) DMs’ weights without any additional information about DMs’ age, formal knowledge, social status, etc. The proposed approach is demonstrated on examples.
|Item Type:||MPRA Paper|
|Original Title:||Some Notes on Inconsistence and Indecisiveness in the Analytic Hierarchy Process|
|English Title:||Some Notes on Inconsistence and Indecisiveness in the Analytic Hierarchy Process|
|Keywords:||AHP; inconsistence; decision making; indecisiveness|
|Subjects:||D - Microeconomics > D7 - Analysis of Collective Decision-Making > D79 - Other
C - Mathematical and Quantitative Methods > C6 - Mathematical Methods ; Programming Models ; Mathematical and Simulation Modeling > C60 - General
|Depositing User:||Jiri Mazurek|
|Date Deposited:||12 Nov 2012 10:55|
|Last Modified:||01 Jul 2016 05:07|
Carlsson, C. Fullér, R. Fuzzy multiple criteria decision making: Recent developments. Fuzzy Sets and Systems 78(2), 1996, p. 139-153.
Fodor, J., Roubens, M. Fuzzy preference modelling and multicriteria decision support, Dordrecht: Kluwer 1994.
Ramík, J. Perzina, R. Moderní metody hodnocení a rozhodování, SU OPF: 2008. ISBN 978-80-7248-497-3.
Saaty T. L. The Analytic Hierarchy Process: Planning, Priority Setting, Resource Allocation, ISBN 0-07-054371-2, McGraw-Hill, 1980.
Saaty T. L. The Analytic hierarchy and Analytic Network Measurement Processes: Aplications to the Decisions under Risk. European Journal of Pure and Applied Mathematics, (1)1, 2008, p. 122-196.
Saaty T. L. Relative Measurement and its Generalization in Decision Making – Why Pairwise Comparisons are Central in Mathematics for the Measurement of Intanglible Factors, The Analytic Hierarchy/Network Process. Rev. R. Acad. Cien. Serie A, Mat., Vol. 102(2), 2008, p. 251-318.
Wang, P. P. Computing with words. John Wiley, NewYork, 2001.
Zadeh, L. A. Fuzzy logic-computing with words. IEEE Transactions on Fuzzy Systems, 4, 1996, p. 103-111.