Mehar approach to solve fuzzy linear fractional minimal cost flow problems

被引：0
|
作者：
Bhatia, Tanveen Kaur [1 ]
Kumar, Amit [1 ]
Sharma, M. K. [1 ]
Appadoo, S. S. [2 ]
机构：
[1] Thapar Inst Engn & Technol Deemed Univ, Sch Math, Patiala, Punjab, India
[2] Univ Manitoba, Dept Supply Chain Management, 630 Drake Ctr 181 Freedman Crescent, Winnipeg, MB R3T 5V4, Canada
来源：
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS | 2022年 / 43卷 / 01期
关键词：
Linear fractional minimal cost flow problem; triangular fuzzy numbers; trapezoidal fuzzy numbers; lexicographic approach;
D O I：
10.3233/JIFS-212909
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
To the best of author's knowledge, only one approach is proposed in the literature to solve fuzzy linear fractional minimal cost flow problems (minimal cost flow problems in which each known arc cost is represented either by a triangular fuzzy number or a trapezoidal fuzzy number). In this paper, the mathematical incorrect assumptions, considered in the existing approach to solve fuzzy linear fractional minimal cost flow problems, are pointed out. Also, by generalizing an existing approach for solving fuzzy linear fractional programming problems, an approach (named as Mehar approach) is proposed to solve fuzzy linear fractional minimal cost flow problems. Furthermore, two numerical examples are solved to illustrate the proposed Mehar approach.
引用
收藏
页码：1035 / 1051
页数：17
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