Solving linear programming problems under fuzziness and randomness environment using attainment values

Authors:
Nguyen Van Hop
Affiliations:
First Consulting Group Vietnam (FCGV), 111D Ly Chinh Thang Street, District 3, Ho Chi Minh City, Viet Nam
Venue:
Information Sciences: an International Journal
Year:
2007

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Abstract

In this paper, the author presents a model to measure attainment values of fuzzy numbers/fuzzy stochastic variables. These new measures are then used to convert the fuzzy linear programming problem or the fuzzy stochastic linear programming problem into the corresponding deterministic linear programming problem. Numerical comparisons are provided to illustrate the effectiveness of the proposed method.