Neutrosophic number goal programming for multi-objective linear programming problem in neutrosophic number environment

Purpose nbsp The purpose of the paper is to propose goal programming strategy to multi objective linear programming problem with neutrosophic numbers which we call NN GP The coefficients of objective functions and the constraints are considered as neutrosophic numbers of the form m nI where m n are real numbers and I denotes indeterminacy Design nbsp For this study the neutrosophic numbers are converted into interval numbers Then the problem reduces to multi objective linear interval programming problem Employing interval programming technique the target interval of the objective function is determined For the sake of achieving the target goals the goal achievement functions are constructed Three new neutrosophic goal programming models are developed using deviational variables to solve the reduced problem Findings Realistic optimization problem involves multiple objectives Crisp multi objective optimization problems involve deterministic objective functions and or constrained functions However uncertainty involves in real problems Hence several strategies dealing with uncertain multi objective programming problems have been proposed in the literature Multi objective linear programming has evolved along with different paradigms and in different environment Goal programming and fuzzy goal programming have been widely used to solve the multi objective linear programming problems In this paper goal programming in neutrosophic number environment has been developed It deals with effectively multi objective linear programming problem with neutrosophic numbers We solve a numerical example to illustrate the proposed NN GP strategy Originality There are different Schools in optimization field and each has their own distinct strategy In neutrosophic number environment goal programming for multi objective programming problem is proposed here at first

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