Article citationsMore>>

M. J. Beynon, “DS/AHP Method: A Mathematical Analysis, Including an Understanding of Uncertainty,” European Journal of Operational Research, Vol. 140, No. 1, 2002, pp. 148-164. doi:10.1016/S0377-2217(01)00230-2

has been cited by the following article:

• TITLE: Estimation of Sensitivity of the DS/AHP Method While Solving Foresight Problems with Incomplete Data

  AUTHORS: N. Pankratova, N. Nedashkovskaya

  KEYWORDS: Analytic Hierarchy Process; Dempster-Shafer Theory; Incomplete Expert Information; Multiple Criteria Analysis; Combination Rules; Rank Reversal; Foresight Problems

  JOURNAL NAME: Intelligent Control and Automation, Vol.4 No.1, February 18, 2013

  ABSTRACT: The paper provides mathematical analysis of sensitivity of different combination rules in the DS/AHP method when an alternative is added to the set of decision alternatives while solving foresight problems. Different cases of rank reversals are defined and two sets of conditions for these cases using the method DS/AHP are considered. Rank reversals are illustrated when the DS/AHP method is used to solve practical problem of critical technologies of energy conservation and power efficiency evaluation in Ukraine. It is shown that the DS/AHP method is not sensitive to exclusion (or addition) of an irrelevant decision alternative from (or to) the set of decision alternatives.