Open AccessINTERVAL UNCERTAINTY OF ESTIMATES AND JUDGMENTS OF SUBJECT IN DECISION MAKING IN MULTI-CRITERIA PROBLEMS
Author(s) -
Alexander G. Madera
Publication year - 2015
Publication title -
international journal of the analytic hierarchy process
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.213
H-Index - 3
ISSN - 1936-6744
DOI - 10.13033/ijahp.v7i2.240
Subject(s) - interval (graph theory) , analytic hierarchy process , process (computing) , hierarchy , computer science , mathematical optimization , point (geometry) , value (mathematics) , mathematics , interval arithmetic , interval estimation , statistics , operations research , confidence interval , mathematical analysis , geometry , combinatorics , economics , market economy , bounded function , operating system
In this article, we propose a method of decision making in multi-criteria problems given an interval uncertainty of the estimates given by the subject in reference to the importance of one criterion over another and various alternatives for each criterion. The method is the development of the deterministic process of the Analytic Hierarchy Process, which uses deterministic point estimates of the importance of criteria and alternatives for each criterion for decision making in multi-criteria problems. While in the standard Analytic Hierarchy Process the values of global priorities corresponding to different alternatives are deterministic and unambiguous, in the interval process developed in this article the global priorities and alternatives are interval and uncertain. If in the standard deterministic Analytic Hierarchy Process the best alternative is selected by the maximum value of the global priority, then, to select the best interval alternative, here we introduce a criterion corresponding to the maximum values of the lower and upper boundaries of the intervals of global priorities of the alternatives. The application of the proposed method is demonstrated by a specific example.