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61.
62.
Data envelopment analysis very often identifies more than one candidate in a voting system to be DEA efficient. In order to choose a winner from among the DEA efficient candidates, this paper proposes a new method that discriminates the DEA efficient candidates by considering their least relative total scores. The proposed method is illustrated with two numerical examples and proves to be effective and practical. 相似文献
63.
Score x = (x1, … , xn) describing an alternative α is modelled by means of a continuous quasi-convex fuzzy quantity μα = μx, thus allowing to compare alternatives (scores) by means of fuzzy ordering (comparison) methods. Applying some defuzzification method leads to the introduction of operators acting on scores. A special stress is put on the Mean of Maxima defuzzification method allowing to introduce several averaging aggregation operators. Moreover, our approach allows to introduce weights into above mentioned aggregation, even in the non-anonymous (non-symmetric) case. Finally, Ordered Weighted Aggregation Operators (OWAO) are introduced, generalizing the standard OWA operators. 相似文献
64.
In group decision-making literature, several procedures are proposed in order to establish a collective preference from the different individual ones. The majority of these procedures, however, reveal that the individual preferences are always expressed in total pre-orders (or ranking). Indeed, until now very few have considered individual preferences which are expressed in partial pre-orders or, more generally, in preferences relational systems (p.r.s.). Moreover, many of these procedures generate collective preferences which are expressed in total pre-orders (ranking decision-making problematic). The efforts reported in the literature to develop procedures which treat other decision-making problematics—such as choice problematic—remain insufficient. In this paper, we propose a method which would determine from individual p.r.s. at least one collective subset containing the “best” alternatives. Each of these collective subsets results from the exploitation—according to the choice problematic—of a collective p.r.s. obtained from the aggregation of the individual p.r.s. Furthermore, each collective p.r.s. has two main characteristics: (i) it is at a minimum distance from all individual p.r.s. and (ii) it takes into account the members’ relative importance. 相似文献
65.
As systems dealing with preferences become more sophisticated, it becomes essential to deal with various kinds of preference
statements and their interaction. We introduce a non-monotonic logic distinguishing sixteen kinds of preferences, ranging
from strict to loose and from careful to opportunistic, and two kinds of ways to deal with uncertainty, either optimistically
or pessimistically. The classification of the various kinds of preferences is inspired by a hypothetical agent comparing the
two alternatives of a preference statement. The optimistic and pessimistic way of dealing with uncertainty correspond on the
one hand to considering either the best or the worst states in the comparison of the two alternatives of a preference statement,
and on the other hand to the calculation of least or most specific “distinguished” preference orders from a set of preference
statements. We show that each way to calculate distinguished preference orders is compatible with eight kinds of preferences,
in the sense that it calculates a unique distinguished preference order for a set of such preference statements, and we provide
efficient algorithms that calculate these unique distinguished preference orders. In general, optimistic kinds of preferences
are compatible with optimism in calculating distinguished preference orders, and pessimistic kinds of preferences are compatible
with pessimism in calculating distinguished preference orders. However, these two sets of eight kinds of preferences are not
exclusive, such that some kinds of preferences can be used in both ways to calculate distinguished preference orders, and
other kinds of preferences cannot be used in either of them. We also consider the merging of optimistically and pessimistically
constructed distinguished preferences orders. 相似文献
66.
Variable preference modeling with ideal-symmetric convex cones 总被引:1,自引:0,他引:1
Alexander Engau 《Journal of Global Optimization》2008,42(2):295-311
Based on the concept of general domination structures, this paper presents an approach to model variable preferences for multicriteria
optimization and decision making problems. The preference assumptions for using a constant convex cone are given, and, in
remedy of some immanent model limitations, a new set of assumptions is presented. The underlying preference model is derived
as a variable domination structure that is defined by a collection of ideal-symmetric convex cones. Necessary and sufficient
conditions for nondominance are established, and the problem of finding corresponding nondominated solutions is addressed
and solved on examples. 相似文献
67.
The purpose of this paper is to reconsider the utility representation problem of preferences. Several representation theorems are obtained on general choice spaces. Preferences having continuous utility functions are characterized by their continuities and countable satiation. It is showed that on a pairwise separable choice space,the sufficient and necessary condition for a preference to be represented by a continuous utility function is that the preference is continuous and countably satiable. For monotone preferences,we obtain that any space has continuous utility representations. 相似文献
68.
69.
We present a method called Generalized Regression with Intensities of Preference (GRIP) for ranking a finite set of actions evaluated on multiple criteria. GRIP builds a set of additive value functions compatible with preference information composed of a partial preorder and required intensities of preference on a subset of actions, called reference actions. It constructs not only the preference relation in the considered set of actions, but it also gives information about intensities of preference for pairs of actions from this set for a given decision maker (DM). Distinguishing necessary and possible consequences of preference information on the considered set of actions, GRIP answers questions of robustness analysis. The proposed methodology can be seen as an extension of the UTA method based on ordinal regression. GRIP can also be compared to the AHP method, which requires pairwise comparison of all actions and criteria, and yields a priority ranking of actions. As for the preference information being used, GRIP can be compared, moreover, to the MACBETH method which also takes into account a preference order of actions and intensity of preference for pairs of actions. The preference information used in GRIP does not need, however, to be complete: the DM is asked to provide comparisons of only those pairs of reference actions on particular criteria for which his/her judgment is sufficiently certain. This is an important advantage comparing to methods which, instead, require comparison of all possible pairs of actions on all the considered criteria. Moreover, GRIP works with a set of general additive value functions compatible with the preference information, while other methods use a single and less general value function, such as the weighted-sum. 相似文献
70.
This short paper takes up the problem stated by Gaul and Schader1 in 1988 of simultaneous clustering and aggregation of relations—in this case precedences (preferences)—so that aggregate preferences could represent relatively homogeneous groups of preference relations. The paper indicates the existence of two distinct questions, similar to those asked in the case of the global aggregation problem, regarding intra-group agreement as to preferences represented in whatever form, and intra-group agreement as to a common (‘regular’) preference. In both these cases, though, fundamental computational problems arise. This paper presents a heuristic for obtaining an approximate solution. Requirements as to the properly optimal method are outlined. 相似文献