A Novel Kind of Arithmetic Operations on Trapezoidal Fuzzy Numbers and Its Applications to Optimize the Transportation Cost

被引：6

作者：

Raj, M. Edwin Antony ^{[1
]}

Sivaraman, Geetha ^{[2
]}

Vishnukumar, P. ^{[2
]}

机构：

[1] K Ramakrishnan Coll Engn, Dept Math, Tiruchirappalli, Tamil Nadu, India

[2] St Josephs Coll Autonomous, Dept Math, Tiruchirappalli, Tamil Nadu, India

来源：

INTERNATIONAL JOURNAL OF FUZZY SYSTEMS | 2023年 / 25卷 / 03期

关键词：

Fuzzy sets; Fuzzy number; Trapezoidal fuzzy number; Transportation problem; Vogel's approximation method; RANKING;

D O I：

10.1007/s40815-022-01425-6

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The main objective of this paper is to define novel kind of operations on trapezoidal fuzzy numbers that is totally different from the existing operations. Significance of the proposed operations is that the transportation cost is even reduced while the same problem solved by existing operations. To validate this, two real-life examples are solved.

引用

页码：1069 / 1076

页数：8

共 25 条

[1]

[Anonymous], 2009, International Journal of Algorithms, Computing and Mathematics

[2]

[Anonymous], 2003, J FUZZY MATH

[3]

[Anonymous], 2010, Applied Mathematical Sciences

[4] A FUZZY APPROACH TO THE TRANSPORTATION PROBLEM [J].

CHANAS, S ;

KOLODZIEJCZYK, W ;

MACHAJ, A .

FUZZY SETS AND SYSTEMS, 1984, 13 (03) :211-221

[5] A concept of the optimal solution of the transportation problem with fuzzy cost coefficients [J].

Chanas, S ;

Kuchta, D .

FUZZY SETS AND SYSTEMS, 1996, 82 (03) :299-305

[6]

Chen S.H., 1985, TAMKANG J MANAG SCI, V6, P13

[7] Fuzzy risk analysis based on the ranking of generalized trapezoidal fuzzy numbers [J].

Chen, Shi-Jay ;

Chen, Shyi-Ming .

APPLIED INTELLIGENCE, 2007, 26 (01) :1-11

[8]

CHEN SJ, 1992, LECT NOTES ECON MATH, V375, P1

[9] OPERATIONS ON FUZZY NUMBERS [J].

DUBOIS, D ;

PRADE, H .

INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 1978, 9 (06) :613-626

[10] A simplified new approach for solving fuzzy transportation problems with generalized trapezoidal fuzzy numbers [J].

Ebrahimnejad, Ali .

APPLIED SOFT COMPUTING, 2014, 19 :171-176

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