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Operations Research Transactions >

2017 , Vol. 21 >Issue 1: 65 - 77

DOI: https://doi.org/10.15960/j.cnki.issn.1007-6093.2017.01.007

A generalized trapezoidal approximation operator and  its application to fuzzy transportation problems

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  • 1. Department of Science and Technology, Lijiang College of Guangxi Normal University, Guilin 541006, Guangxi, China

Received date: 2015-09-14

  Online published: 2017-03-15

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Abstract

This paper studies fuzzy transportation problems with general fuzzy transportation costs. Firstly, by preserving the core of a generalized fuzzy number, the minimal optimization model is structured based on the distance between general fuzzy numbers and general trapezoidal fuzzy numbers. By solving the optimization model, a generalized trapezoidal approximation operator is obtained and some properties of the operator are studied such as scale invariance, translation invariance, continuity. Secondly, the approximation operator is used to convert generalized fuzzy transportation table to generalized trapezoidal fuzzy transportation table. Moreover, the existing GFLCM and GFMDM algorithms are used to get the nearest optimal solution of fuzzy transportation problems. Finally, a numerical example is presented to illustrate the feasibility and validity of the proposed method.

Key words： generalized fuzzy number; generalized trapezoidal fuzzy number; approximation operator; transportation costs

Cite this article

XIE Haibin, CHEN Disan, LIANG Yanyan .

A generalized trapezoidal approximation operator and  its application to fuzzy transportation problems
[J]. Operations Research Transactions, 2017 , 21(1) : 65 -77 . DOI: 10.15960/j.cnki.issn.1007-6093.2017.01.007

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