摘要:

AbstractA number of multi‐criteria decision support techniques have emerged in recent years that use varying computational approaches to arrive at the most desirable solution and thereby ‘recommend’ a course of action. Decision makers who use the results of this analytic work should be assured that the computational schemes used by their supporting analysts or decision support software produce the appropriate solutions. We conducted a series of simulation experiments that compared the top‐ranked options resulting from the computational algorithms that support Multi‐Attribute Value Theory (MAVT) and three methods that are reported in the literature that allow rank reversals, the change in rank order of two options when an unrelated option is added or deleted from the analysis: the Analytical Hierarchy Process (AHP), Percentaging and the Technique for Order Preference by Similarity to Ideal Solution (TOPSIS). We also included a Fuzzy algorithm proposed by Yager to gauge its consistency with the other algorithms, even though it is not subject to rank reversals. These experiments demonstrated that the MAVT and AHP techniques, when provided with the same decision outcome data, very often identify the same alternative as ‘best’. The other techniques are noticeably less consistent with MAVT, the Fuzzy algorithm being the least consistent. The situations under which the most frequent and significant differences occurred were dependent upon the method.The results of our experiments indicate that other issues (e.g. the processes used for problem structuring and the elicitation of value weights) are likely to be of greater significance to problem outcome (based on our experience) than the choice between the computational algorithms of MAVT and AHP. The results cause us to be concerned about the use of the

ISSN:1057-9214    

DOI:10.1002/mcda.4020040102

出版商:John Wiley&Sons, Ltd.    

年代:1995

数据来源: WILEY

摘要:

AbstractIn this study we discuss the problem of multi‐objective mathematical programming with constraints defined by ‘max‐min’ composite fuzzy relation equations. Since the feasible region is normally non‐convex, the properties of the efficient points of a non‐convex feasible region under multi‐objectives are investigated and illustrated by examples. The necessary and sufficient conditions are proposed and proved. To facilitate decisions, a procedure that transforms these efficient points of an interval‐valued decision space into a constant‐valued decision space is proposed when the level of confidence is given by a decision maker. Then the transformed problem becomes a multi‐attribute decision problem that can be evaluated by Yager's method to find the

ISSN:1057-9214    

DOI:10.1002/mcda.4020040103

出版商:John Wiley&Sons, Ltd.    

年代:1995

数据来源: WILEY

摘要:

AbstractThis paper is concerned with procedures which transform valued preference relations on a set of alternatives into crisp relations. We present a simple characterization of a procedure that ranks alternatives in decreasing order of their minimal performance. This is done by means of three axioms that are shown to be independent. Among other results, we characterize in a very similar manner a procedure called ‘leximin’ and investigate two families of procedures whose intersection is the ‘min’ pr

ISSN:1057-9214    

DOI:10.1002/mcda.4020040104

出版商:John Wiley&Sons, Ltd.    

年代:1995

数据来源: WILEY

摘要:

AbstractThis paper is focused on interdependences between criteria in multicriteria decision analyses. Such interdependences are usually ignored in sensitivity analyses. After a discussion on the nature of interdependences, methods are presented to deal with interdependences in the context of Monte Carlo experiments. These methods are applied in the context of soil pollution treatment alternatives. It is shown that ignoring interdependences may have a distorting effect on the results of sensitivity analysis on rankings of alternatives.

ISSN:1057-9214    

DOI:10.1002/mcda.4020040105

出版商:John Wiley&Sons, Ltd.    

年代:1995

数据来源: WILEY

ISSN:1057-9214    

DOI:10.1002/mcda.4020040101

出版商:John Wiley&Sons, Ltd.    

年代:1995

数据来源: WILEY