Trustworthiness especially for service oriented system is very importanttopic now a day in IT field of the whole world. Certain Trust Model depends onsome certain values given by experts and developers. Here, main parameters forcalculating trust are certainty and average rating. In this paper we haveproposed an Extension of Certain Trust Model, mainly the representation portionbased on probabilistic logic and fuzzy logic. This extended model can beapplied in a system like cloud computing, internet, website, e-commerce, etc.to ensure trustworthiness of these platforms. The model uses the concept offuzzy logic to add fuzziness with certainty and average rating to calculate thetrustworthiness of a system more accurately. We have proposed two newparameters - trust T and behavioral probability P, which will help both theusers and the developers of the system to understand its present conditioneasily. The linguistic variables are defined for both T and P and then thesevariables are implemented in our laboratory to verify the proposed trust model.We represent the trustworthiness of test system for two cases of evidence valueusing Fuzzy Associative Memory (FAM). We use inference rules anddefuzzification method for verifying the model.
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