A method for optimal solution of intuitionistic fuzzy transportation problems via centroid

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Publication Details

Author list: Hunwisai D., Kumam P., Kumam W.

Publisher: Springer Verlag

Publication year: 2018

Volume number: 760

Start page: 94

End page: 114

Number of pages: 21

ISBN: 978-3-319-73149-0

ISSN: 1860-949X

eISSN: 1860-949X

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-85038846631&doi=10.1007%2f978-3-319-73150-6_7&partnerID=40&md5=b5c334018335f08fa6cfc3eb0daf331a

Languages: English-Great Britain (EN-GB)

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Abstract

In this work, we introduce the method for solving intuitionistic fuzzy transportation problem (IFTP) in which supplies and availability are crisp numbers and cost is intuitionistic fuzzy number (IFN). We are using centroid of IFN for the representative value of the intuitionistic fuzzy cost. In addition we are using allocation table method (ATM) to find an initial basic feasible solution (IBFS) for the IFTP. Moreover, this method is also good optimal solution in the literature and illustrated with numerical examples. ฉ 2018, Springer International Publishing AG.

Keywords

Intuitionistic fuzzy number, Transportation problem