A technique to solve Transshipment Problem with Asymmetric Pentagonal Fuzzy Numbers

被引：0

作者：

Arora, Aparna ^{[1
]}

Gupta, Rashmi ^{[2
]}

Saxena, Ratnesh Rajan ^{[2
]}

机构：

[1] Univ Delhi, Dept Math, Delhi 110007, India

[2] Univ Delhi, Deen Dayal Upadhyaya Coll, Dept Math, Delhi 110078, India

来源：

RAIRO-OPERATIONS RESEARCH | 2024年 / 58卷 / 04期

关键词：

Fuzzy number; pentagonal fuzzy numbers; Asymmetric Pentagonal Fuzzy Numbers; transshipment problem; ranking of fuzzy numbers;

D O I：

10.1051/ro/2024012

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

In order to draw comparison in largely used fuzzy numbers, ranking of fuzzy numbers becomes important. In this paper, a new method for ranking Asymmetric Pentagonal Fuzzy Numbers (APFN) is proposed. In this method, the pentagonal fuzzy numbers are scored by obtaining their centers of gravity using left and right areas associated with them. Further, we propose a direct technique for solving fuzzy Transshipment Problem (TsP) in which costs are represented as Asymmetric Pentagonal Fuzzy Numbers. The solution so obtained is fuzzy optimal solution. The validity of proposed methodology is illustrated through numerical examples.

引用

页码：3487 / 3499

页数：13

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