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Titlebook: Semiorders; Properties, Represen M. Pirlot,Ph. Vincke Book 1997 Springer Science+Business Media Dordrecht 1997 decision analysis.management

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書目名稱Semiorders
副標題Properties, Represen
編輯M. Pirlot,Ph. Vincke
視頻videohttp://file.papertrans.cn/865/864987/864987.mp4
叢書名稱Theory and Decision Library B
圖書封面Titlebook: Semiorders; Properties, Represen M. Pirlot,Ph. Vincke Book 1997 Springer Science+Business Media Dordrecht 1997 decision analysis.management
描述Semiorder is probably one of the most frequently orderedstructures in science. It naturally appears in fields likepsychometrics, economics, decision sciences, linguistics andarchaeology. It explicitly takes into account the inevitableimprecisions of scientific instruments by allowing the replacement ofprecise numbers by intervals. The purpose of this book is to dissectthis structure and to study its fundamental properties. The mainsubjects treated are the numerical representations of semiorders, thegeneralizations of the concept to valued relations, the aggregation ofsemiorders and their basic role in a general theoretical framework formulticriteria decision-aid methods. ..Audience:. This volume is intended for students and researchersin the fields of decision analysis, management science, operationsresearch, discrete mathematics, classification, social choice theory,and order theory, as well as for practitioners in the design ofdecision tools.
出版日期Book 1997
關鍵詞decision analysis; management; mathematics; operations research; social choice
版次1
doihttps://doi.org/10.1007/978-94-015-8883-6
isbn_softcover978-90-481-4869-1
isbn_ebook978-94-015-8883-6
copyrightSpringer Science+Business Media Dordrecht 1997
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Historical Review and Applications,ference between .. and .. (few people are able to perceive a difference of 1 milligram of sugar), and this, for every .. We say that a person is . between .. and ... However, she may have a preference for .. over .. (or the contrary) when . is large enough. This example, which shows that the indiffe
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Minimal Representations,resentations generalize to semiorders the rank of the elements in a strict complete order which means that they have similar rights to pretend at being a “default” numerical representation. The notion of minimal representation of a semiorder was first introduced and proven to exist by Pirlot. The ex
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Aggregation of Semiorders,e subject seems not to have been intensively studied as such, we have tried to formulate a general framework which encompasses a number of well-known methods of preference aggregation. By “aggregation” we generally mean a “mechanism” which associates some structure to any family of structures of a g
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Basic Concepts and Definitions,1 was to give an intuitive introduction to the concepts while this chapter is the mathematical introduction of the book. The reader can also refer to Fishburn 1985, Monjardet 1978 or Roubens and Vincke 1985.
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