publication . Article . 2005

Fuzzy solution of the linear programming problem with interval coefficients in the constraints

Dorota Kuchta;
Open Access
  • Published: 01 Jan 2005 Journal: Operations Research and Decisions, volume 3-4, pages 35-42
Abstract
A fuzzy concept of solving the linear programming problem with interval coefficients is proposed. For each optimism level of the decision maker (where the optimism concerns the certainty that no errors have been committed in the estimation of the interval coefficients and the belief that optimistic realisations of the interval coefficients will occur) another interval solution of the problem will be generated and the decision maker will be able to choose the final solution having a complete view of various possibilities.
Subjects
free text keywords: interval linear programming, fuzzy solution

[1] CHINNECK J.W., RAMADAN K., Linear Programming with Interval Coefficients, Journal of the Operational Research Society, 2000, 51, s. 209-220.

[2] KUCHTA D., User-tailored fuzzy relation between intervals, submitted to Proceedings of EUROFUSE 2003.

[3] KUNDU S., Min-transitivity of fuzzy leftness relationship and its application to decision making, Fuzzy Sets and Systems, 1997, 86, s. 357-367. [OpenAIRE]

[4] KUNDU S., Preference relation on fuzzy utilities based on fuzzy leftness relation on intervals, Fuzzy Sets and Systems, 1998, 97, s. 183-191.

[5] MOORE R.E., Interval Analysis, Prentice Hall, Englewood Cliffs, New Jersey, 1966.

[6] NAKAMURA K., Preference relation on fuzzy utilities as a basis for decision making, Fuzzy Sets and Systems, 1986, 20, s. 147-162.

[7] SENGUPTA A., PAL T.K., On comparing interval numbers, European Journal of Operations Research, 2000, 127, s. 28-43.

[8] SENGUPTA A., PAL T.K., CHAKRABORTY D., Interpretation of inequality constraints involving interval coefficients and a solution to interval linear programming, Fuzzy Sets and Systems, 2001, 119, s. 129-138.

[9] SHAOCHENG T., Interval number and fuzzy number linear programming, Fuzzy Sets and Systems, 1994, 66, s. 301-306.

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