Authors
Masahiro Inuiguchi, Hidetomo Ichihashi, Yasufumi Kume
Publication date
1990/1/10
Journal
Fuzzy Sets and Systems
Volume
34
Issue
1
Pages
15-31
Publisher
North-Holland
Description
This paper deals with the fuzzy linear program with continuous piecewise linear membership functions. A fuzzy linear program with piecewise linear membership functions has been considered by Hannan and Nakamura. Hannan's method can solve the problems only when all membership functions are concave in the range (0, 1) and Nakamura's method needs to use the linear programming technique repetitionally. We propose a technique to solve the problem using a standard linear programming when membership functions are strictly quasiconcave and the minimum operator is adopted for aggregating fuzzy goals. The repetitional use of linear programming technique is not required in our method.
Total citations
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