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Fuzzy Optimization: Recent Advances and Applications (Studies in Fuzziness and Soft Computing)

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Optimization is an extremely important area in science and technology which provides powerful and useful tools and techniques for the formulation and solution of a multitude of problems in which we wish, or need, to find a best possible option or solution. It has been an important area of research for more than half a century, and particularly since the advent of digital computers. Over those years great progress has been attained in the area with the development of powerful theoretical and algorithmic results. A multitude of academic and commercial software packages have been developed which have made it possible to solve virtually all kinds of optimization problems. Applications of optimization tools and techniques span practically the entire spectrum of science and technology.

Real applications of optimization often contain information and data that is imperfect. Thus, attempts have been made since the early days to develop optimization models for handling such cases. As the first, natural approaches in this respect one can mention value intervals and probability distributions as representations of uncertain data. They have led to the development of various interval and stochastic optimization models.

Fuzzy sets theory has provided conceptually powerful and constructive tools and techniques to handle another aspect of imperfect information related to vagueness and imprecision. This has resulted in the emergence – more or less in the mid-1970s––of a new field, called fuzzy optimization (and its related fuzzy mathematical programming), in which many powerful theoretical and algorithmic results have been proposed too. Many books and edited volumes, and a multitude of articles have been published. Moreover, numerous applications have been reported too.
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