Abstract
This chapter is devoted to mathematical preliminaries, which will be used in the remainder of this book. Starting with several basic definitions involving fuzzy sets, operations on fuzzy sets, especially fuzzy numbers, are outlined. Bellman and Zadeh’s approach to decision making in a fuzzy environment, called fuzzy decision, is then examined. Fundamental notions and methods of multiobjective, interactive multiobjective, and interactive fuzzy multiobjective linear programming are briefly reviewed. A brief discussion of genetic algorithms is also given.
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© 2000 Physica-Verlag Heidelberg
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Sakawa, M. (2000). Mathematical Preliminaries. In: Large Scale Interactive Fuzzy Multiobjective Programming. Studies in Fuzziness and Soft Computing, vol 48. Physica, Heidelberg. https://doi.org/10.1007/978-3-7908-1851-2_2
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DOI: https://doi.org/10.1007/978-3-7908-1851-2_2
Publisher Name: Physica, Heidelberg
Print ISBN: 978-3-662-00386-2
Online ISBN: 978-3-7908-1851-2
eBook Packages: Springer Book Archive