Title: A distinct management of linear programming in uncertain atmosphere

Authors: Tuhin Bera; Nirmal Kumar Mahapatra

Addresses: Department of Mathematics, Panskura Banamali College, Panskura RS-721152, WB, India ' Department of Mathematics, Panskura Banamali College, Panskura RS-721152, WB, India

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.

DOI: 10.1504/IJMOR.2023.134468

International Journal of Mathematics in Operational Research, 2023 Vol.26 No.2, pp.182 - 199

Received: 16 May 2022
Accepted: 14 Jul 2022
Published online: 24 Oct 2023 *

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