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Provision of collaborative services requires cooperation among various entities of an organization. Furthermore, efficient management of any complex system, such as large enterprises or modern enterprise networks, depends on understanding the roles of its constituents and their interactions with one another. Interaction of humans is partially or fully dictated by their level of awareness of the capacity that others have in supporting them in fulfilling the tasks at hand. As such, awareness modelling and levels can play significant roles in improving the management efficiency. The awareness levels in human beings and managers have a fuzzy nature with linguistic variables extensively used in their characterizations and communications. Noting the underlying fuzziness, this paper explores how soft computing can be used to improve awareness modelling to achieve more effective cooperative management. This is further demonstrated through its application to an illustrative example that utilizes fuzzy proximity networks.