Φ_1-concavity and Fuzzy Decision Making

机译：Φ_1凹度与模糊决策

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Fuzzy decision making becomes one of the most important approaches to solve vague and not well defined optimization problems. However, the resulting fuzzy problems are frequently complicated and difficult to solve. One effective way to overcome these difficulties is to explore the generalized concavity properties of these problems. In this paper, we introduce and study the concept of supp-Φ_1-concave and supp-Φ_1-quasiconcave fuzzy sets. Some useful composition rules are developed. Based on these composition rules and the generalized concave properties, the basic characteristics of fuzzy multiple objective decision making problem can be formulated and solved.

机译：模糊决策成为解决模糊的，定义不明确的优化问题的最重要方法之一。但是，由此产生的模糊问题通常很复杂并且难以解决。克服这些困难的一种有效方法是探索这些问题的广义凹度特性。本文介绍并研究了supp-Φ_1-凹和supp-Φ_1-拟凹模糊集的概念。开发了一些有用的组成规则。基于这些组成规则和广义凹性，可以制定和解决模糊多目标决策问题的基本特征。

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《International Conference on Cybernetics and Information Technologies, Systems and Applications(CITSA2004) and 10th International Conference on Information Systems Analysis and Synthesis(ISAS2004) vol.3》|2004年|P.22-27|共6页
会议地点 OrlandoFL(US)
作者
Yu-Ru Syau; E. Stanley Lee; Lixing Jia;
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作者单位

Department of Industrial Engineering, Da Yeh University Da-Tusen, Chang-Hwa 51505, Taiwan;

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会议组织
原文格式 PDF
正文语种 eng
中图分类通信;
关键词
fuzzy decision making; fuzzy multiob-jective optimization; Φ_1-concavity; multiple objective optimization;

机译：模糊决策;模糊多目标优化;Φ_1凹度;多目标优化;

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2. Fuzzy decision making and fuzzy group decision making based on likelihood-based comparison relations of hesitant fuzzy linguistic term sets [J] . Lee Li-Wei, Chen Shyi-Ming Journal of intelligent & fuzzy systems: Applications in Engineering and Technology . 2015,第3期

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4. Φ_1-concavity and Fuzzy Decision Making [C] . Yu-Ru Syau, E. Stanley Lee, Lixing Jia International Conference on Cybernetics and Information Technologies, Systems and Applications(CITSA2004) and 10th International Conference on Information Systems Analysis and Synthesis(ISAS2004) vol.3 . 2004

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5. Decision-making with fuzzy alternatives: A new method based on decision maker's fuzziness attitude. [D] . Yeh, Hsiao-Ping Shelby. 1998

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6. Continuous Hesitant Fuzzy Aggregation Operators and Their Application to Decision Making under Interval-Valued Hesitant Fuzzy Setting [O] . Ding-Hong Peng, Tie-Dan Wang, Chang-Yuan Gao, -1

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7. Φ1-concavity and fuzzy multiple objective decision making [O] . Syau Yu-Ru, Jia Lixing, Lee E. Stanley 2008

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8. Geo-Spatial Tactical Decision Aid Systems: Fuzzy Logic for Supporting Decision Making [R] . Grasso, R. , Giannecchini, S. 2006

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Φ_1-concavity and Fuzzy Decision Making

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