A new fuzzy-logic trust model is proposed for securing Grid computing across multiple resources sites. We developed a new Grid security scheme, called SARAH. This scheme is supported by encrypted channels among private networks. Instead of relying on using PKI certificates, we suggest to build virtual private networks (VPNs) for Grid trust management through a public network. The design is aimed at optimizing Grid resources and trust management under the constraints of aggregated computing power, assured security requirement, and Grid service budget limits. We model the Grid resource optimization process as a dual-objective, linear-programming problem. The objective function is the performance/cost ratio of the collected Grid resources. We report the SARAH architecture, fuzzy trust management, resource optimization, and securitycritical Grid applications. We aim to protect Grid applications that demand data-sensitive communication, large database search, frequent security checkups, blocking from intrusions, and risk-free from cyberspace crimes. Our fuzzy trust management lays the foundation in providing secure Grid computing services
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