Fuzzy Preference Modelling and Multicriteria Decision Support

Fuzzy Preference Modelling and Multicriteria Decision Support
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DOI:
10.1007/978-94-017-1648-2
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发表时间:
1994-10
期刊:
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影响因子:
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通讯作者:
J. Fodor;M. Roubens
J. Fodor;M. Roubens
中科院分区:
其他
文献类型:
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作者:
J. Fodor;M. Roubens

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这本书提供了关于模糊逻辑的最重要的结果的深入报道,包括否定,连接词,析取,含义,并给出了这些不同的连接词之间的相互关系。这项工作汇集了多个结果值的二元关系满足不同的传递性类型的条件。作者提出了第一个健全的介绍,通过系统地使用模糊集理论和函数方程的价值偏好建模,并得出可能的基础上,使用聚合,排名和选择程序的公理化结果的多准则决策援助。本文提出了一个统一的观点,各种多准则决策工具,已独立得出在过去,处理成对比较。专着是数学导向的,但结果将是工程师和经济学家谁设计和实施决策支持系统在实践中最感兴趣。它还提供了足够数量的例子,使其吸引非专业人士。
This book provides in-depth coverage of the most important results about fuzzy logic including negations, conjunctions, disjunctions, implications and gives the interrelations between those different connectives. The work brings together multiple results about valued binary relations satisfying diverse transitivity-type conditions. The authors propose the first sound introduction to valued preference modelling through the systematic use of fuzzy set theory and functional equations and derive the possible foundations for multicriteria decision aid using aggregation, ranking and choice procedures on the basis of axiomatic results. The text presents a unified view of various multicriteria decision making tools that have been independently derived in the past, dealing with pairwise comparisons. The monograph is mathematically oriented but the results will be of the greatest interest for engineers and economists who design and implement decision support systems in practice. It is also supplied with a sufficient number of examples to make it attractive to nonspecialists.