On Fuzzy Linear Fractional Programming Problems via α-Cut-Based Method with Application in Transportation Sector

Author:

Chauhan Abhishek1ORCID,Mahajan Sumati1ORCID,Ahmad Izhar23ORCID,Al-Homidan Suliman24ORCID

Affiliation:

1. Department of Applied Sciences, Punjab Engineering College, Chandigarh 160012, India

2. Department of Mathematics, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia

3. Center for Intelligent Secure Systems, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia

4. Center for Smart Mobility and Logistics, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia

Abstract

The article provides an α-cut-based method that solves linear fractional programming problems with fuzzy variables and unrestricted parameters. The parameters and variables are considered as asymmetric triangular fuzzy numbers, which is a generalization of the symmetric case. The problem is solved by using α-cut of fuzzy numbers wherein the α- and r-cut are applied to the objective function and constraints, respectively. This reduces the problem into an equivalent biobjective model which leads to the upper and lower bounds of the given problem. Afterwards, the membership functions corresponding to various values of r∈(0,1] are obtained using the optimal values of the biobjective model. The proposed method is illustrated by taking an example from the literature to highlight the fallacy of an existing approach. Finally, a fuzzy linear fractional transportation problem is modelled and solved using the aforementioned technique.

Funder

King Fahd University of Petroleum and Minerals

Publisher

MDPI AG

Subject

Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)

Reference24 articles.

1. Programming with linear fractional functionals;Charnes;Nav. Res. Logist. Q.,1962

2. A new procedure for solving linear fractional programming problems;Tantawy;Math. Comput. Model.,2009

3. Linear fractional programming and duality;Chadha;Cent. Eur. J. Oper. Res.,2007

4. Chaotic crow search algorithm for fractional optimization problems;Hassanien;Appl. Soft Comput.,2018

5. A integer solution of fractional programming problem;Sharma;Gen. Math. Notes,2011

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3