SINGLE-OBJECTIVE LINEAR GOAL PROGRAMMING PROBLEM WITH NEUTROSOPHIC NUMBERS
SINGLE-OBJECTIVE LINEAR GOAL PROGRAMMING PROBLEM WITH NEUTROSOPHIC NUMBERS

Author: Durga Banerjee

Publisher: Infinite Study

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Total Pages: 16

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This paper deals with single-objective linear goal programming problem with neutrosophic numbers. The coefficients of objective function and the constraints are considered as neutrosophic numbers of the form (p + qI), where p, q are real numbers and I denotes indeterminacy. In the solution process, the neutrosophic numbers are transformed into interval numbers.

Multi-level linear programming problem with neutrosophic numbers: A goal programming strategy
Multi-level linear programming problem with neutrosophic numbers: A goal programming strategy

Author: Surapati Pramanik

Publisher: Infinite Study

Published:

Total Pages: 13

ISBN-13:

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In the paper, we propose an alternative strategy for multi-level linear programming (MLP) problem with neutrosophic numbers through goal programming strategy. Multi-level linear programming problem consists of k levels where there is an upper level at the first level and multiple lower levels at the second level with one objective function at every level.

Bi-level Linear Programming Problem with Neutrosophic Numbers
Bi-level Linear Programming Problem with Neutrosophic Numbers

Author: Surapati Pramanik

Publisher: Infinite Study

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Total Pages: 12

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The paper presents a novel strategy for solving bi-level linear programming problem based on goal programming in neutrosophic numbers environment. Bi-level linear programming problem comprises of two levels namely upper or first level and lower or second level with one objective at each level. The objective function of each level decision maker and the system constraints are considered as linear functions with neutrosophic numbers of the form [p + q I], where p, q are real numbers and I represents indeterminacy.

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

Author: Surapati Pramanik

Publisher: Infinite Study

Published:

Total Pages: 8

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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.

Neutrosophic Goal Programming Technique and its Application
Neutrosophic Goal Programming Technique and its Application

Author: Samir Dey

Publisher: Infinite Study

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Total Pages: 8

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This paper develops a multi-objective Neutrosophic Goal Optimization technique for optimizing the design of truss structure with multiple objectives subject to a specified set of constraints. In this optimum design formulation, the objective functions are weight and the deflection; the design variables are the cross-sections of the bar; the constraints are the stress in member. The classical three bar truss structure is presented here in to demonstrate the efficiency of the neutrosophic goal programming approach. The model is numerically illustrated by Neutrosophic Goal Optimization technique with different aggregation method. The result shows that the Neutrosophic Goal Optimization technique is very efficient in finding the best optimal solutions.

Neutrosophic Linear Fractional Programming Problems
Neutrosophic Linear Fractional Programming Problems

Author: Mai Mohamed

Publisher: Infinite Study

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Total Pages: 19

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In this chapter, a solution procedure is proposed to solve neutrosophic linear fractional programming (NLFP) problem where cost of the objective function, the resources and the technological coefficients are triangular neutrosophic numbers.

Neutrosophic Linear Programming Problems
Neutrosophic Linear Programming Problems

Author: Abdel-Nasser Hussian

Publisher: Infinite Study

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Total Pages: 13

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Smarandache presented neutrosophic theory as a tool for handling undetermined information. Wang et al. introduced a single valued neutrosophic set that is a special neutrosophic sets and can be used expediently to deal with real-world problems, especially in decision support.

Neutrosophic Goal Programming
Neutrosophic Goal Programming

Author: Ibrahim M. Hezam

Publisher: Infinite Study

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Total Pages: 15

ISBN-13:

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In this chapter, the goal programming in neutrosophic environment is introduced. The degree of acceptance, indeterminacy and rejection of objectives is considered simultaneous.

Neutrosophic Integer Programming Problems
Neutrosophic Integer Programming Problems

Author: Mohamed Abdel-Baset

Publisher: Infinite Study

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Total Pages: 13

ISBN-13:

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In this chapter, we introduce the integer programming in neutrosophic environment, by considering coefficients of problem as a triangular neutrosophic numbers