Fuzzy optimization and mathematical programming: a brief introduction and survey

Kacprzyk, J. & Orlovski, S.A. (1987). Fuzzy optimization and mathematical programming: a brief introduction and survey. In: Optimization Models Using Fuzzy Sets and Possibility Theory. Eds. Kacprzyk, J. & Orlovsky, S.A., pp. 50-72 Dordrecht, The Netherlands: Springer. ISBN 978-94-009-3869-4 10.1007/978-94-009-3869-4_4.

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Some general concepts and ideas related to fuzzy optimization as, e.g., a fuzzy constraint, fuzzy goal (objective function), fuzzy optimum, etc. are introduced first. A general fuzzy optimization problem involving these elements is formulated and solved. The cases of single and multiple objective functions are dealt with. Secondly, basic classes of fuzzy mathematical programming are discussed, including: fuzzy linear programming (with single and multiple objective functions), fuzzy integer programming, fuzzy 0–1 programming and fuzzy dynamic programming. Finally some newer, knowledge-based approaches are mentioned. An extended list of literature is included.

Item Type: Book Section
Uncontrolled Keywords: fuzzy decision making; fuzzy optimization; fuzzy mathematical programming
Research Programs: Regional Water Policies (RWP)
Depositing User: Romeo Molina
Date Deposited: 02 May 2016 07:12
Last Modified: 27 Aug 2021 17:40
URI: https://pure.iiasa.ac.at/12960

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