This article proves that all complete preference structures where the strict preference relation (P) has no circuit admit a representation by intervals of the real line;the rule for deciding whether an interval is ind...
详细信息
This article proves that all complete preference structures where the strict preference relation (P) has no circuit admit a representation by intervals of the real line;the rule for deciding whether an interval is indifferent or preferred to another is less straightforward than for interval orders: strict preference is indeed compatible with a certain degree of overlapping of intervals, the allowed degree being specified by means of a so-called tolerance function.
In this paper, a design decision problem is treated as a multiple criteria decision making (MCDM) problem. Design selection is based upon multiple attribute evaluations for candidate designs and preference judgments o...
详细信息
In this paper, a design decision problem is treated as a multiple criteria decision making (MCDM) problem. Design selection is based upon multiple attribute evaluations for candidate designs and preference judgments on relative importance of attributes. It is intuitively clear that flexibility and a systematic procedure are important features of a technique for acquisition and representation of preference information. This paper is intended to explore a new technique for assigning weights to attributes through a well-defined iterative procedure using minimal preference information. A semi-submersible design problem is then taken as an example to demonstrate how multiple attribute evaluations for candidate designs can be generated and represented and how relative weights of attributes can be assigned using the new weight assignment technique for the ranking of the generated candidate designs.
Inaccurate determination, uncertainty, imprecision and ambiguity are often present in complex decision situations where decision aid is requested. Instead of reducing complexity via quantitative models of preferences,...
详细信息
Inaccurate determination, uncertainty, imprecision and ambiguity are often present in complex decision situations where decision aid is requested. Instead of reducing complexity via quantitative models of preferences, as traditional preference modeling does, it may be necessary to represent these situations explicitly. There exist operational methods that face these problems, the principal reference being the partial comparability theory. The lack of an axiomatization however limits the operational potentialities of this theory. In the paper an axiomatic foundation of the partial comparability theory is outlined based on a sound and complete four valued logic (the truth values ''true'', ''false'', ''unknown'', ''contradictory'' are accepted). This logic is extended to the first order predicate calculus. Four basic preference relations are thus defined, namely: strict preference, weak preference, indifference and incomparability. The operational perspectives are discussed in the paper as some problems in multicriteria methods can be solved in a much easier and natural way. Moreover non monotonic reasoning devices could be built enhancing the potentialities of the theory.
By using the approach presented in this paper, the decision-maker's risk attitude can be ascertained and taken into account in the comparison of reforestation alternatives of a forest stand. Risks which reforestat...
详细信息
By using the approach presented in this paper, the decision-maker's risk attitude can be ascertained and taken into account in the comparison of reforestation alternatives of a forest stand. Risks which reforestation alternatives include are described using distributions of outcomes. Cardinal utility values of five accumulation points of cumulative distributions of outcomes, calculated without considering risk preferences, are the variables included in a preference function. The parameters of that additive preference function represent the importance of the accumulation points in the choice of the reforestation alternative. They indicate the decision-maker's attitude towards risk. The parameters are estimated on the basis of pairwise comparisons between the importance of variables, using Saaty's eigenvalue method. Estimation, application, and interpretation of the preference function are simple to carry out, which is important for an approach applied to practical decision-making. The approach could be applied also, for example, to other forestry decision-making problems.
This paper deals with preference modelling in the context of Decision Aid. In this framework, conflicting systems of logic, uncertain knowledge, ambiguous positions are always present. In order to tackle this problem,...
详细信息
This paper deals with preference modelling in the context of Decision Aid. In this framework, conflicting systems of logic, uncertain knowledge, ambiguous positions are always present. In order to tackle this problem, a multiple criteria methodology is proposed, mainly based on fuzzy outranking relations introduced both at one-dimensional and multi-dimensional levels. Some properties of outranking relations are investigated. Such relations are then combined using fuzzy logical connectives to generate relational systems of fuzzy preferences that are shown to be very useful to reflect the vagueness of information in the various preference situations that may be considered in the modelling process.
A simple and usubtle method is presented for estimating the landscape preferences of a private non-industrial forest landowner. Scenic beauties of forest landscapes were compared pairwise: verbal comparisons were conv...
详细信息
A simple and usubtle method is presented for estimating the landscape preferences of a private non-industrial forest landowner. Scenic beauties of forest landscapes were compared pairwise: verbal comparisons were converted into numerical values using the same techniques as applied in the Analytic Hierarchy Process. Using the eigenvalue method and a scaling method, scenic beauty indices for forest stands, expressed on a ratio scale, were computed. Regression models that predict the scenic beauty of forest stands according to the preferences of the person in question were estimated, using mensurational forest stand parameters as predictors. Encouraging results on the applicability of the method were obtained in practical tests: the method proved to be worth developing further.
How is it possible to improve both multicriteria methodology and building of flexible and reliable Decision Support System? In this paper an attempt is made, through the use of Artificial Intelligence techniques, towa...
详细信息
How is it possible to improve both multicriteria methodology and building of flexible and reliable Decision Support System? In this paper an attempt is made, through the use of Artificial Intelligence techniques, towards a declarative representation of decision and activities and principally towards a new way to face problems of uncertainty in preference modeling. Particularly the use of nonmonotonic inference procedures is explored and a new formalization of the preference relations is proposed based on a reason maintenance approach. A possible generalization is also discussed.
In this paper we introduce and investigate weak t-norms and related concepts in order to give a general representation of valued strict preference relations associated with a given valued preference relation. All the ...
详细信息
In this paper we introduce and investigate weak t-norms and related concepts in order to give a general representation of valued strict preference relations associated with a given valued preference relation. All the well-known forms of valued strict preference relations are particular cases of our results. Moreover, when some types of 'rationality' assumptions are made, our unified approach seems to be the only possible one.
Recently, in studying minimal representations of semiorders, we introduced a substructure of "noses" and "hollows" essentially describing the frontier between 0's and 1's in the incidence s...
详细信息
Recently, in studying minimal representations of semiorders, we introduced a substructure of "noses" and "hollows" essentially describing the frontier between 0's and 1's in the incidence step matrix of a semiorder. We show that the "noses" and "hollows" provide a synthetic description of a semiorder that they determine completely. The results have computational implications.
作者：
ROY, BUNIV PARIS 09
PL DU MARECHAL DE LATTRE DE TASSIGNYF-75775 PARIS 16FRANCE
In the first part of this paper, we describe the main features of real-world problems for which the outranking approach is appropriate and we present the concept of outranking relations. The second part is devoted to ...
详细信息
In the first part of this paper, we describe the main features of real-world problems for which the outranking approach is appropriate and we present the concept of outranking relations. The second part is devoted to basic ideas and concepts used for building outranking relations. The definition of such outranking relations is given for the main ELECTRE methods in Part 3. The final part of the paper is devoted to some practical considerations.
暂无评论