Neutrosophic number goal programming for multi-objective linear programming problem in neutrosophic number environment
Title | Neutrosophic number goal programming for multi-objective linear programming problem in neutrosophic number environment PDF eBook |
Author | Surapati Pramanik |
Publisher | Infinite Study |
Pages | 8 |
Release | |
Genre | Mathematics |
ISBN |
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.
Multi-level linear programming problem with neutrosophic numbers: A goal programming strategy
Title | Multi-level linear programming problem with neutrosophic numbers: A goal programming strategy PDF eBook |
Author | Surapati Pramanik |
Publisher | Infinite Study |
Pages | 13 |
Release | |
Genre | Mathematics |
ISBN |
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
Title | Bi-level Linear Programming Problem with Neutrosophic Numbers PDF eBook |
Author | Surapati Pramanik |
Publisher | Infinite Study |
Pages | 12 |
Release | |
Genre | Mathematics |
ISBN |
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 Operational Research, Vol. I
Title | Neutrosophic Operational Research, Vol. I PDF eBook |
Author | Florentin Smarandache |
Publisher | Infinite Study |
Pages | 212 |
Release | 2017 |
Genre | Data envelopment analysis |
ISBN | 1599735202 |
This book treats all kind of data in neutrosophic environment, with real-life applications, approaching topics as linear programming problem, linear fractional programming, integer programming, triangular neutrosophic numbers, single valued triangular neutrosophic number, neutrosophic optimization, goal programming problem, Taylor series, multi-objective programming problem, neutrosophic geometric programming, neutrosophic topology, neutrosophic open set, neutrosophic semi-open set, neutrosophic continuous function, cylindrical skin plate design, neutrosophic MULTIMOORA, alternative solutions, decision matrix, ratio system, reference point method, full multiplicative form, ordinal dominance, standard error, market research, and so on. The selected papers deal with the alleviation of world changes, including changing demographics, accelerating globalization, rising environmental concerns, evolving societal relationships, growing ethical and governance concern, expanding the impact of technology; some of these changes have impacted negatively the economic growth of private firms, governments, communities, and the whole society.
Solving intuitionistic fuzzy multiobjective linear programming problem under neutrosophic environment
Title | Solving intuitionistic fuzzy multiobjective linear programming problem under neutrosophic environment PDF eBook |
Author | Abdullah Ali |
Publisher | Infinite Study |
Pages | 25 |
Release | |
Genre | Mathematics |
ISBN |
The existence of neutral /indeterminacy degrees reflects the more practical aspects of decision-making scenarios. Thus, this paper has studied the intuitionistic fuzzy multiobjective linear programming problems (IFMOLPPs) under neutrosophic uncertainty. To highlight the degrees of neutrality in IFMOLPPs, we have investigated the neutrosophic optimization techniques with intuitionistic fuzzy parameters.
Neutrosophic Goal Programming
Title | Neutrosophic Goal Programming PDF eBook |
Author | Ibrahim M. Hezam |
Publisher | Infinite Study |
Pages | 15 |
Release | |
Genre | |
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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.
A Multi Objective Programming Approach to Solve Integer Valued Neutrosophic Shortest Path Problems
Title | A Multi Objective Programming Approach to Solve Integer Valued Neutrosophic Shortest Path Problems PDF eBook |
Author | Ranjan Kumar |
Publisher | Infinite Study |
Pages | 16 |
Release | |
Genre | Mathematics |
ISBN |
Neutrosophic (NS) set hypothesis gives another way to deal with the vulnerabilities of the shortest path problems (SPP). Several researchers have worked on fuzzy shortest path problem (FSPP) in a fuzzy graph with vulnerability data and completely different applications in real world eventualities. However, the uncertainty related to the inconsistent information and indeterminate information isn't properly expressed by fuzzy set.