Abstract

The classical optimal search model is seeking to find a strategy to minimise the searching costs or time of a particular object. An object may probably present in a specific location. The detection of the object by a searcher has defined probability. All these may affect each other. So, optimal search problem has stochastic-dynamic nature. In this paper, a fuzzy search model, in which the time or cost of the search can be fuzzy parameters, is presented to minimise the cost of search. The proposed models are applied in two practical problems namely panning for lost individuals in natural disasters and mine finding. Considering the significance of resources (i.e., time and cost) of searching a particular object, the proposed fuzzy optimal search model can be applied in several cases such as detection of a mine, search for illegal computer servers, detection of oil fields, and rescuing lost people.

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