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Using fuzzy relations and GIS Method to Evaluate Debris Flow Hazard

Wuhan University Journal of Natural Sciences 2006年第4期11卷 875-881页

作者： SONG Shujun ZHANG Baolei FENG Wenlan ZHOU Wancun Institute of Mountain Hazards and Environment Chinese Academy of SciencesChengdu 610041SichuanChina Graduate University of Chinese Academy of Sciences Beijing 100049China

The study area, located in the southeast of Tibet along the Sichuan-Tibet highway, is a part of Palongzangbu River basin where mountain hazards take place frequently. On the ground of field surveying, historical data and previous research, a total of 31 debris flow gullies are identified in the study area and 5 factors are chosen as main parameters for evaluating the hazard of debris flows in this study. Spatial analyst functions of geographic information system （GIS） are utilized to produce debris flow inventory and parameter maps. All data are built into a spatial database for evaluating debris flow hazard. Integrated with GIS techniques,the fuzzy relation method is used to calculate the strength of relationship between debris flow inventory and parameters of the database. With this methodology,a hazard map of debris flows is produced. According to this map,6.6% of the study area is classified as very high hazard, 7.3% as high hazard,8.4% as moderate hazard,32. 1% as low hazard and 45.6% as very low hazard or non-hazard areas. After validating the results, this methodology is ultimately confirmed to be available.

关键词： fuzzy relations geographic information system (GIS) debris flows hazard evaluation

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fuzzy Transitive relations

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模糊系统与数学 2010年第4期24卷 162-169页

作者： Ismat Beg Samina Ashraf Centre for Advanced Studies in Mathematics Lahore University of Management Sciences 54792-LahorePAKISTAN

A modified definition of fuzzy transitivity is *** properties of this new definition are *** of these new properties of transitivity on equivalence relations is also studied.

关键词： fuzzy relations Transitivity Order Equivalence Approximate Indistinguishability

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Cardinal Numbers of fuzzy Sets

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Chinese Quarterly Journal of Mathematics 1992年第3期7卷 101-107页

作者：李洪兴罗承忠汪培庄袁学海北京师范大学数学系

Up to now, the study on the cardinal number of fuzzy sets has advanced at on pace since it is very hard to give it an appropriate definition. Althrough for it in [1], it is with some harsh terms and is not reasonable as we point out in this paper. In the paper, we give a general definition of fuzzy cardinal numbers. Based on this definition, we not only obtain a large part of results with re spect to cardinal numbers, but also give a few of new properties of fuzzy cardinal numbers.

关键词： fuzzy relations fuzzy mappings the cardinal numbers of fuzzy sets

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