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ترجمه مقاله نقش ضروری ارتباطات 6G با چشم انداز صنعت 4.0
- مبلغ: ۸۶,۰۰۰ تومان
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ترجمه مقاله پایداری توسعه شهری، تعدیل ساختار صنعتی و کارایی کاربری زمین
- مبلغ: ۹۱,۰۰۰ تومان
Abstract
The article proposes a way to add marketing into the standard threshold model of social networks. Within this framework, the article studies logical properties of the influence relation between sets of agents in social networks. Two different forms of this relation are considered: one for promotional marketing and the other for preventive marketing. In each case a sound and complete logical system describing properties of the influence relation is proposed. Both systems could be viewed as extensions of Armstrong’s axioms of functional dependency from the database theory.
5. Conclusion
In this article we have suggested a way of adding marketing to the standard threshold model of diffusion in social networks. The model is general enough to simulate both promotional and preventive marketing. We have also defined formal logical systems for reasoning about influence relation in social networks with marketing of these two types. Both systems are based on Armstrong’s axioms from the database theory. The main technical results of the article are the completeness theorems for these two systems.
As a possible extension of this work, marketing could be added to other logical systems for social networks mentioned in the introduction. Another possible extension of this work is an analysis of the computational complexity of both the proposed model and the logical system. However, this would probably require switching from the real numbers to the rational numbers since the real numbers, generally speaking, can not be given as an input to a Turing machine.