A crop planning problem with fuzzy random profit coefficients

Tasuku Toyonaga, Takeshi Itoh, Hiroaki Ishii

Research output: Contribution to journalArticlepeer-review

32 Citations (Scopus)


The main purpose of this paper is to present a crop planning problem for agricultural management under uncertainty. It is significant that agricultural managers assign their limited farmlands to cultivation of which crops in a season. This planning is called the crop planning problem and influences their incomes for the season. Usually, the crop planning problem is formulated as a linear programming problem. But there are many uncertain factors in agricultural problems, so future profits for crops are not certain values. A linear programming model with constant profit coefficients may not reflect the environment of decision making properly. Therefore, we propose a model of crop planning with fuzzy profit coefficients, and an effective solution procedure for the model. Furthermore, we extend this fuzzy model, setting the profit coefficients as discrete randomized fuzzy numbers. We show concrete optimal solutions for each models.

Original languageEnglish
Pages (from-to)51-69
Number of pages19
JournalFuzzy Optimization and Decision Making
Issue number1
Publication statusPublished - 2005 Feb
Externally publishedYes


  • Agricultural management
  • Chance constraint
  • Crop planning
  • Efficient solution procedure
  • Fuzzy random coefficient
  • Optimal solution
  • Possibility measure

ASJC Scopus subject areas

  • Software
  • Logic
  • Artificial Intelligence


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