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A New Approach to Solve multi objective linear programming problem Under Neutrosophic Environment

International Journal of Applied and Computational Mathematics 2023年第6期9卷 1-29页

作者： Biswas, Sanjoy Dey, Samir Department of Applied Science and Humanities (Mathematics) Guru Nanak Institute of Technology Sodepur West Bengal Kolkata 700114 India Department of Mathematics JIS University 81 Nilgunj Road Agarpara West Bengal Kolkata 700109 India

In the present era, the idea of nonlinearity plays a crucial and fundamental role in an intuitionistic fuzzy world. The goal of this paper is to develop some novel and valuable concepts for the ability to effectively convey challenging and ambiguous information in real life issues. In order to achieve this goal, this work investigated the interval valued pentagonal intuitionistic fuzzy multi-objective linear programming problem under neutrosophic uncertainty. This study provides solutions to such uncertainty and assists in the relative decision-making processes. The major objective of this paper is to develop some novel and useful concepts of nonlinear interval valued pentagonal intuitionistic fuzzy numbers and their classification in different situations. Additionally, the new de-intuitification (Ranking) method is formulated in decision-making by reducing complexions and addresses the graphical illustration. The proposed technique based on neutrosophic fuzzy approaches provides the potential value to decision makers of optimization problems under three distinct membership degrees, such as truth, indeterminacy, and falsity membership degrees. Therefore, this paper implemented methodologies with the help of numerical examples and addressed the effectiveness of several membership functions as linear, parabolic, and hyperbolic types of membership functions. A comparative study of existing approaches has been done to show the efficiency of the proposed approach. Finally, based on suggested study, conclusions and future research directions are discussed. © 2023, The Author(s), under exclusive licence to Springer Nature India Private Limited.

关键词： De-intuitification Interval valued Pentagonal intuitionistic fuzzy number multi objective linear programming problem Neutrosophic optimization technique Uncertainty

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A new method for solving fuzzy linear fractional programming problems

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JOURNAL OF INTELLIGENT & FUZZY SYSTEMS 2016年第3期31卷 1831-1843页

作者： Veeramani, C. Sumathi, M. PSG Coll Technol Dept Appl Math & Computat Sci Coimbatore 641004 Tamil Nadu India PSG Coll Technol Dept Math Coimbatore Tamil Nadu India

Fuzzy linear Fractional programming problem has been used as an important planning tool for the different disciplines such as engineering, business, finance, economics, etc. In this paper, a new algorithm is developed to solve the Fuzzy linear Fractional programming problem (FLFPP) where the cost of the objective function, the resources and the technological coefficients are triangular fuzzy numbers. For this, the FLFPP is transformed into an equivalent deterministic multi objective linear Fractional programming problem (MOLFPP) and solved them each objective function. From the obtained solutions, we define an imprecise and aspiration level for each objectives. Hence, the objectives are transformed as fuzzy goal. Then the goal programming approach is used to achieve the highest degree of each of the membership goals by minimizing their deviational variables. Finally, two real examples and one case study problem will be used to illustrate our algorithm and compare it with the existing method.

关键词： Triangular fuzzy number linear programming problem multi objective linear programming problem goal programming

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Fuzzy Mathematical programming approach for Solving Fuzzy linear Fractional programming problem

Fuzzy Mathematical programming approach for Solving Fuzzy Li...

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IEEE International Conference on Fuzzy Systems (FUZZ)

作者： Veeramani, C. Sumathi, M. PSG Coll Technol Dept Appl Math & Computat Sci Coimbatore Tamil Nadu India

ISBN: (纸本)9781479900206

In this paper, a method is proposed to solve Fuzzy linear Fractional programming (FLFP) problem where cost of the objective function, the resources and the technological coefficients are triangular fuzzy numbers. Here, the FLFP problem is transformed into an equivalent deterministic multi-objective linear Fractional programming (MOLFP) problem. By using Fuzzy Mathematical programming approach transformed MOLFP problem is reduced single objective linear programming (LP) problem. The proposed procedure illustrated through a numerical example.

关键词： Triangular fuzzy number linear programming problem multi objective linear programming problem Fuzzy Mathematical programming

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