Abstract
Combinatorial search methods known as graph-search techniques aim at finding optimal or feasible solutions to a problem, among a usually finite but possibly very large set of alternatives, while obviating brute-force enumeration. The search process is guided by evaluations of how close is a solution. Usually evaluation functions are supposed to provide precise estimates. Here we discuss two kinds of situations where such estimates are naturally represented as fuzzy intervals: first,the case when several evaluation functions are available; a fuzzy interval can synthetize this information. The second case is when data defining the problem are themselves imprecise; the traveling salesman problem is used to illustrate the latter point.
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Dubois, D., Farreny, H., Prade, H. (1987). Combinatorial Search with Fuzzy Estimates. In: Kacprzyk, J., Orlovski, S.A. (eds) Optimization Models Using Fuzzy Sets and Possibility Theory. Theory and Decision Library, vol 4. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-3869-4_12
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DOI: https://doi.org/10.1007/978-94-009-3869-4_12
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