Pentagonal fuzzy fractional three-stage sustainable transportation network problem incorporating extension principle

作     者：Baranidharan, B. Murali, Gunji Bala Cao, Zechun Mahapatra, G. S. 

作者机构：Natl Inst Technol Puducherry Dept Math Karaikal 609609 India Vellore Inst Technol Sch Mech Engn Vellore India Texas A&M Univ Dept Comp Sci San Antonio TX 78224 USA 

出 版 物：《AIN SHAMS ENGINEERING JOURNAL》 (Ain Shams Eng. J.)

年 卷 期：2025年第16卷第2期

核心收录：

学科分类：12[管理学] 1201[管理学-管理科学与工程(可授管理学、工学学位)] 08[工学] 

基　　金：SERB [TAR/2021/000343] 

主　　题：Extension principle Fractional programming Pentagonal fuzzy Three-stage transportation Sustainability 

摘      要：This study presents a framework for addressing the fuzzy fractional three-stage transportation network (FFTSTN) in the context of sustainable conveyance. The proposed model considers the transportation costs and involved in moving goods from manufacturers to storage godowns, storage godowns to distributors, distributors to consumers. The primary aim of this study is to mitigate transportation expenses and transportation s environmental viability through reducing emissions. A generalized pentagonal fuzzy number (GPFN) is employed to address the uncertainty of parameters of the three-stage transportation network. The established a methodology to explore solutions for the FFTSTN model without de-fuzzifying GPFNs. Additionally, it explored the economic sustainability and future transportation prospects using the extension principle to the proposed FFTSTN system. This solution approach considers the nonlinearity of the objective function utilizing the Charnes-Cooper transformation technique for the problem. A numerical example shows applicability, validity, and comparison between the compromise solutions.