Fuzzy Linear Programming

Masatoshi Sakawa, Hitoshi Yano and Ichiro Nishizaki
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Masatoshi Sakawa: Hiroshima University
Hitoshi Yano: Nagoya City University
Ichiro Nishizaki: Hiroshima University

Chapter Chapter 4 in Linear and Multiobjective Programming with Fuzzy Stochastic Extensions, 2013, pp 105-148 from Springer

Abstract: Abstract In 1976, Zimmermann first introduced fuzzy set theory into linear programming problems. He considered linear programming problems with a fuzzy goal and fuzzy constraints. Following the fuzzy decision proposed by Bellman and Zadeh (1970) together with linear membership functions, he proved that there exists an equivalent linear programming problem.

Keywords: Membership Function; Fuzzy Number; Linear Programming Problem; Pareto Optimal Solution; Fuzzy Decision (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1007/978-1-4614-9399-0_4

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