An optimization method to solve a fully intuitionistic fuzzy non-linear separable programming problem

IF 1.8 4区管理学 Q3 OPERATIONS RESEARCH & MANAGEMENT SCIENCE Rairo-Operations Research Pub Date : 2023-09-21 DOI:10.1051/ro/2023152

Kirti Sharma, VISHNU PRATAP SINGH, Bhavin Poojara, Ali Ebrahimnejad, Debjani Chakraborty

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Abstract

This paper presents an optimization method to solve a non-linear separable programming problem with coefficients and variables as generalized trapezoidal intuitionistic fuzzy numbers. Such optimization problems are known as fully intuitionistic fuzzy non-linear separable programming problems. The optimization method is based on the linear approximation of fully intuitionistic fuzzy non-linear separable functions. The concept of an intuitionistic fuzzy line segment between two intuitionistic fuzzy points is introduced to find the required linear approximation. In this way, a fully intuitionistic fuzzy non-linear programming problem is converted into an intuitionistic fuzzy linear programming problem. The defuzzification and component-wise comparison techniques are then used to convert the fully intuitionistic fuzzy linear programming problem to a linear programming problem with crisp coefficients which can then be solved by using traditional optimization techniques. The application of the proposed approach in an investment problem faced by a businessman has been presented.

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求解全直觉模糊非线性可分规划问题的优化方法

本文提出了一种求解系数和变量为广义梯形直觉模糊数的非线性可分规划问题的优化方法。这种优化问题被称为完全直觉模糊非线性可分规划问题。该优化方法基于全直觉模糊非线性可分函数的线性逼近。在两个直觉模糊点之间引入直觉模糊线段的概念，求出所需的线性逼近。这样，就把一个完全直觉模糊非线性规划问题转化为一个直觉模糊线性规划问题。然后使用去模糊化和组件明智比较技术将完全直观的模糊线性规划问题转化为具有清晰系数的线性规划问题，然后可以使用传统的优化技术来解决。提出了在一个商人面临的投资问题中应用所提出的方法。

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来源期刊

Rairo-Operations Research 管理科学-运筹学与管理科学

CiteScore

3.60

自引率

22.20%

发文量

206

审稿时长

>12 weeks

期刊介绍： RAIRO-Operations Research is an international journal devoted to high-level pure and applied research on all aspects of operations research. All papers published in RAIRO-Operations Research are critically refereed according to international standards. Any paper will either be accepted (possibly with minor revisions) either submitted to another evaluation (after a major revision) or rejected. Every effort will be made by the Editorial Board to ensure a first answer concerning a submitted paper within three months, and a final decision in a period of time not exceeding six months.