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The IUP Journal of Earth Sciences :
Application of Rule-Based Mamdani Type Fuzzy Modeling to Quantitative Damage Analysis of Indian Earthquakes
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Due to very hot climatic conditions and tottering land forms, India is one of the developing countries vulnerable to earthquakes. It is difficult to have a mathematical model for analyzing the damage caused by earthquake because of its complex behavior, influent characteristics and environmental conditions. In order to facilitate decision making and planning for earthquake management, it is necessary to be prepared for a rapid and knowledge-based response to provide a proper estimation about the damage. Since no intelligent model has been proposed in India yet, devising such a model seems to be absolutely essential. In this paper, a Mamdani Type Fuzzy Inference System (MTFIS) is employed for the damage analysis of earthquakes which includes the complications of defining, assessment and modeling the variables involved as well as handling uncertainty. The resulting conceptual fuzzy model contains the robustness of fuzzy systems which can adapt to various situations.

Earthquakes are vibrations or series of vibrations set off due to a rupture within the earth caused by stress. Due to their suddenness of occurrence without any forewarning, earthquakes are rated as the worst natural hazards causing widespread damages and loss of human lives and property due to collapse of structures or buildings. The earthquakes cause immense destruction especially in the populous areas. They can cause ground shaking, faulting, landslides, avalanches, liquefaction, cracks and fissures on the earth. The extent of damage at any given place depends on several factors such as the magnitude, hypocenter, epicenter distance, terrain, type of population, structural design of the buildings, weather conditions, and time of occurrence and so on. In the earthquake terminology (Raghvendra, 2005), focal depth of earthquake is the depth of the focus below the surface of the earth. Epicenter is a point on the surface of the earth vertically above the place of origin of an earthquake. This place is expressed by the geographical latitude and longitude. This is the region of earth's surface where most severe effects are felt. The magnitude of an earthquake is a quantity to measure the size of an earthquake in terms of its energy and is independent of the place of observation. Intensity is a non-instrumental measure of earthquakes. It is the rating of the effects of the earthquake at a given place based on the observations of the damages which are descriptive. It is expressed in modified Mercalli Scale. In this paper, Mamdani Type Fuzzy modeling has been developed in order to analyze the assessment of damage of 100 numbers of earthquakes observed in India.

Intelligent modeling in the research field means the information on science technologies of virtual reality, computer networking and computer simulation are merged with the mathematical modeling technology of the computers. Intelligent modeling methods require algorithms which are capable of operating in ill-defined environments, adapting to changes in the plant's dynamics as well as environmental effects, learning significant information in the stable manner and placing minimum number of restrictions on the dynamics of the plant in order to operate in environments with minimum amount of human intervention. In this paper, specifically MTFIS modeling was developed and utilized for the purpose of quantitative damage analysis of Indian earthquakes. The same method of modeling was validated with respect to the Performance Index.

 
 
 

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