A distinct management of linear programming in uncertain atmosphere

Tuhin Bera and Nirmal Kumar Mahapatra

International Journal of Mathematics in Operational Research, 2023, vol. 26, issue 2, 182-199

Abstract: For a linear programming problem (Lp-problem), a fluctuation of the optimal objective value may occur when some relevant parameters are additionally acted upon the system. An Lp-problem is here structured in the parlance of a number of such parameters to have a fair end. Each parameter corresponds one objective function and thus the problem is multi-objective. The coefficient of objective function is set upon the expert's past experience and its degree of functionality so that a particular problem can also support the different atmosphere. The experimental data is described by three kinds of single valued triangular neutrosophic number (Svt_rn-number) to deal with uncertainty. To manipulate huge number of data in uncertain climate, graded mean integration concept is practiced to find the score of an Svt_rn-number. A user friendly algorithm is developed to solve an Lp-problem. The model is applied on a fishery planning to justify its efficiency. The obtained result is analysed, and is compared in existing frames to claim the superiority of this work.

Keywords: neutrosophic set; single valued triangular neutrosophic number; score function; linear programming in neutrosophic arena. (search for similar items in EconPapers)
Date: 2023
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