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Accession number: 20161102086370 Title: Several effect probabilities for fuzzy events and their applications in multi-objective programming Authors: Wang, Zhanjing1 Email author stwangzhanjing@heuet.edu.cn; Jie, Jingduo2 Email author 18231195123@163.com; Li, Fachao2 Email author lifachao@tsinghua.org.cn Author affiliation: 1 School of Mathematics and Statistics, Hebei University of Economics and Business, No. 47, Xuefu Road, Xinhua District, Shijiazhuang, China 2 School of Economics and Management, Hebei University of Science and Technology, No. 70, Yuhua East Road, Shijiazhuang, China Source title: ICIC Express Letters Abbreviated source title: ICIC Express Lett. Volume: 10 Issue: 3 Issue date: March 1, 2016 Publication year: 2016 Pages: 575-584 Language: English ISSN: 1881803X Document type: Journal article (JA) Publisher: ICIC Express Letters Office Abstract: Randomness and fuzziness are two common uncertainties in multi-objective problems. They often coexist in real decision process. So it is a hot topic on processing the two uncertainties in academic and application fields. In this paper, for the multi-objective problems with fuzzy goals and random coefficients, we first analyze the essential characteristics of fuzzy decision and review the effect probability¡¯s preliminaries of fuzzy events. Then we give several effect probabilities (denoted by EP) formulas with normal distribution for special fuzzy events represented by fuzzy numbers. Further, we establish a multi-objective programming model based on EP by regarding fuzzy goals as fuzzy events. Finally, we illustrate the validity of multi-objective model based on EP through a case. © 2016, ICIC International. Number of references: 16 Main heading: Multiobjective optimization Controlled terms: Decision making - Fuzzy sets - Normal distribution - Probability - Probability distributions Uncontrolled terms: Application fields - Decision process - Essential characteristic - Fuzzy events - Multi-objective modeling - Multi-objective problem - Multiobjective programming - Random coefficients Classification code: 912.2 Management - 921.5 Optimization Techniques - 922.1 Probability Theory Database: Compendex Compilation and indexing terms, © 2016 Elsevier Inc. Full-text and Local Holdings Links |
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