β Scribed by Maria Teresa Lamata
No coin nor oath required. For personal study only.
Let us consider the Analytic Hierarchy Process in which the labels are structured as graded numbers. To obtain the scoring that corresponds to the best alternative, or the ranking of the alternatives, we need to use a total order for the graded numbers involved in the problem. In this article, we consider a definition of such a total order, which is based upon two subjective aspects: the degree of optimism/pessimism and the liking for risk /safety. As several operations, such as product, quotient, and so forth, of fuzzy numbers do not preserve the triangularity, we also use the graded numbers that are analogous to the fuzzy numbers; however, the operations with graded numbers are carried out as a simple extension of operations with real intervals.
π SIMILAR VOLUMES
This study compares alternative preference elicitation methods that are currently available in software implementations of the analytic hierarchy process. For the simple problem used in this study, the elicitation methods may be sorted from least to most accurate as follows: (1) direct estimation, (
Currently, the electric power industry in U.S.A. is undergoing substantial regulatory and organizational changes with respect to market economics as well as pollution. Under these changing circumstances, in this paper, we utilize the concepts of analytic hierarchy process (AHP) and integer programmi
This is an applied study of how to develop a standardized set of useful verbal probability phrases for communication purposes within an expert community. The analysis extends the previous research in two ways. First, the Analytic Hierarchy Process (AHP) is used to assess the relative weights associa
## Abstract This paper proposes methods for modelling risk and uncertainty with the analytic hierarchy process (AHP). We start by showing why benefit/risk ratios, as described in previous literature, might be an improper modelling approach. We then introduce prototypical case studies where risk pla
In this paper we apply multiattribute value theory as a framework for examining the use of pairwise comparisons in the analytic hierarchy process (AHP). On one hand our analysis indicates that pairwise comparisons should be understood in terms of preference differences between pairs of alternatives.