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Titlebook: Combining Fuzzy Imprecision with Probabilistic Uncertainty in Decision Making; Janusz Kacprzyk,Mario Fedrizzi Book 1988 Springer-Verlag Be

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书目名称Combining Fuzzy Imprecision with Probabilistic Uncertainty in Decision Making
编辑Janusz Kacprzyk,Mario Fedrizzi
视频video
丛书名称Lecture Notes in Economics and Mathematical Systems
图书封面Titlebook: Combining Fuzzy Imprecision with Probabilistic Uncertainty in Decision Making;  Janusz Kacprzyk,Mario Fedrizzi Book 1988 Springer-Verlag Be
描述In the literature of decision analysis it is traditional to rely on the tools provided by probability theory to deal with problems in which uncertainty plays a substantive role. In recent years, however, it has become increasingly clear that uncertainty is a mul­ tifaceted concept in which some of the important facets do not lend themselves to analysis by probability-based methods. One such facet is that of fuzzy imprecision, which is associated with the use of fuzzy predicates exemplified by small, large, fast, near, likely, etc. To be more specific, consider a proposition such as "It is very unlikely that the price of oil will decline sharply in the near future," in which the italicized words play the role of fuzzy predicates. The question is: How can one express the mean­ ing of this proposition through the use of probability-based methods? If this cannot be done effectively in a probabilistic framework, then how can one employ the information provided by the proposition in question to bear on a decision relating to an investment in a company engaged in exploration and marketing of oil? As another example, consider a collection of rules of the form "If X is Ai then Y is B,," j =
出版日期Book 1988
关键词Probability theory; Random variable; decision making; fuzzy sets; linear optimization; optimization; simul
版次1
doihttps://doi.org/10.1007/978-3-642-46644-1
isbn_softcover978-3-540-50005-6
isbn_ebook978-3-642-46644-1Series ISSN 0075-8442 Series E-ISSN 2196-9957
issn_series 0075-8442
copyrightSpringer-Verlag Berlin Heidelberg 1988
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Decision Evaluation Methods Under Uncertainty and Imprecisionrate non-probabilistic aspects of imperfect information in the classical Subjective Expected Utility (SEU) approach are described. It results in a unified framework for evaluation criteria as well as proposals for fuzzy set-based refined sensitivity analysis. This paper is in accordance with new tre
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Theory and Applications of Fuzzy Statisticsproblems arising in scientific investigations generate data incorporating non-statistical uncertainty. In such instances a fuzzy axiomatic structure for dealing with such problems usually increase both their mathematical tractability and physical realism. In this paper we deal with the extension of
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Probabilistic Sets — A Surveydge of observers. A probabilistic set on a total space is defined by a pointwise measurable function from a parameter space to a characteristic space. It is shown that the family of probabilistic sets constitutes a complete pseudo-Boolean algebra. Moment analysis is possible by using a probability m
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Decision Making in a Probabilistic Fuzzy Environmentgiven. For the decision set (in addition to the sets representing goals and constraints) the concept of probabilistic set as devised by Hirota is used. The ideas presented in the work are illustrated by means of the numerical examples.
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Comparison of Methodologies for Multicriteria Feasibility — Constrained Fuzzy and Multiple-Objective dealing with a stochastic multicriteria linear program where imprecision of some data is modelled by probability distributions are surveyed..The methodologies are compared and evaluated. Some ideas of future research are emphasized.
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